Intended Level of Study
5 years of post-secondary education
ECTS
120 credits
Training Structure
College of Sciences
Language(s) of Instruction
French
Overview
The Master’s program in Mechanics covers the major theoretical fields of mechanics (solid mechanics, fluid mechanics, strength of materials, and elasticity) and their applications (product design, biomechanics, and numerical simulation). The Master’s program in Mechanics enables students to master the scientific tools required of an engineer.
Objectives
Depending on the track chosen, the Master’s program’s objectives are tailored and specialized in Biomechanics, Computational and Simulation Methods in Mechanical Engineering (CSIM), or Industrial Product Design and Development (CDPI).
Expertise and Skills
Graduates of the Master’s program in Mechanics are able to formulate advanced problems in the field of systems mechanics and continuum mechanics. They are capable of proposing a numerical, theoretical, or experimental solution strategy appropriate to the context. This program develops students’ skills through three tracks:
Organization
Open on an alternating basis
Contract Type | Apprenticeship Contract, Professional Training Contract |
|---|
The work-study program is offered only in the second year of the master's program.
Internships, supervised projects
Internship | Required |
|---|---|
Duration of the internship | 17 weeks in M1 and M2 |
Internship Abroad | Possible |
Program
- Lectures, tutorials, and lab sessions (30 hours/week), from September through the end of March (in the first year of the master’s program) and through the end of February (in the second year of the master’s program).
- Group projects
- 17-week professional internship in both the first and second years of the master’s program.
The three tracks of the program share a strong core curriculum in the first year and offer more specialized study in the second year. They all lead to either a Professional or Research track, depending on the course units chosen and, above all, the type of internship completed. The CDPI and CSIM tracks offer certain students the opportunity to earn a dual degree with the IAE. The CSIM track also allows students to earn a dual degree with Chiang Mai University (Thailand) andIMT Alès in civil engineering. The Biomeca track is open to medical doctors seeking specialization.
Select a program
Calculations and Simulations in Mechanical Engineering
The CSIM track within the Master's program in Mechanical Engineering focuses on calculations and simulations in structural mechanics.
Industrial Product Design and Development
The CDPI track of the Master's program in Mechanical Engineering focuses on technological design in mechanical engineering, with a specialization in creation, innovation, and product design.
Biomechanics
The Biomechanics track within the Master’s in Mechanics program lies at the intersection of technology and health sciences. It enables students to address the major challenges of the future, both in the field of medical devices (prostheses, stents, implants of all kinds, etc.) and in understanding the interactions between living organisms and their mechanical environment at various scales of observation.
IDIL - Modeling Biological and Environmental Systems - Mechanical Engineering Track
The Master’s program in “Modeling of Environmental and Biological Systems” (MoBiEn) aims to train its students in quantitative and theoretical research on complex phenomena in living systems that emerge across multiple scales—from individual molecules to living organisms—as well as their interactions with their environment.
The MoBiEn Master’s program brings together scientists from various laboratories as well as faculty members from our four departments: Mathematics, Physics, Mechanical Engineering, and Computer Science. As such, it offers a coherent multidisciplinary program that makes MoBiEn a unique program whose core disciplines are Statistical Physics, Stochastic Processes, Biomechanics, Numerical Simulations, Statistical Methods, Advanced Data Analysis Techniques, and Artificial Intelligence.
Examples of course units:
- Stochastic processes
- Biophysics
- Finite element simulation
Finite Element Simulation
Level of Education
4-year college degree
Training Structure
College of Sciences
Time of year
Fall
The goal of this course is to introduce students to the finite element method as applied to one-, two-, and three-dimensional problems in engineering and applied science. This introduction is presented within the framework of linear elasticity and small perturbations in statics. Building on prerequisites in mathematics and solid mechanics, the principle of discretization is first addressed through the Ritz and Galerkin approaches for one-dimensional media. Next, the issue of numerical integration is addressed using Gauss’s method. Meshing and the validation of computational models are then discussed in the context of surface modeling with 2D elements. Finally, these concepts will be used to establish the complete formalism of the finite element method for bar and beam elements, followed by triangular elements. A practical application of these important theoretical concepts is carried out using industrial simulation software (ANSYS) during lab sessions and a project.
Employment Placement
Level of Education
4-year college degree
ECTS
2 credits
Training Structure
College of Sciences
The purpose of this course unit is to prepare students for job interviews by providing them with the tools they need to highlight their past experiences.
This training is conducted using mock interview exercises based on actual job postings.
Business Management - Marketing
Level of Education
4-year college degree
ECTS
4 credits
Training Structure
College of Sciences
This course introduces students to:
- to management within the company, by presenting the company as both an economic and legal entity, on the one hand, and by addressing the strategic approach as a whole, on the other.
- corporate marketing, from market research to operational marketing. The marketing approach will be directly applied as part of the industrial design project led by the student teams.
Class sessions will be supplemented by a company visit, as well as a methodological approach involvingthe analysis of real-worldcase studies.
Technical English
ECTS
4 credits
Training Structure
College of Sciences
Fluid Mechanics and Heat Transfer
Level of Education
4-year college degree
Training Structure
College of Sciences
Time of year
Fall
: This 42-hour course is divided into two parts (1/3, 2/3) to provide the fundamentals of heat transfer and fluid mechanics (3D). Fluids will be treated as continuous media. A “particle” is defined as a volume element that is infinitely small for mathematical description but large enough relative to molecules to be described by continuous functions. This course builds upon the L3 course on modeling elastic media as well as the course on fluid mechanics (1D).
Vibrations and Variational Methods
Level of Education
5 years of post-secondary education
Training Structure
College of Sciences
This 42-hour course is divided into two identical parts that run concurrently. The first part focuses on the study of vibration problems in discrete media and in 1D continuous media (strings, beams). The second part focuses on the use of variational formulations to reformulate the problems studied in L3 into RDM and 3D elasticity. This approach allows us to propose optimized approximate solutions. This part of the course establishes a connection between RDM, 3D elasticity, and the second-semester course on finite elements.
Coupled Mechanical Behaviors I
Level of Education
4-year college degree
ECTS
5 credits
Training Structure
College of Sciences
- Generalized Standard Materials: This ECUE presents a unified framework for describing the thermomechanical behavior of materials. Building on the thermodynamic concepts covered in the preparatory years, the goal is to introduce the concept of irreversibility within a broader framework where the nature of the state variables can become tensor-based. A connection to the MMC is essential so that students understand how a purely mechanical description of continuous media and systems can be supplemented by a thermodynamic description of the material or the constituents of the medium being analyzed.
By the end of the course, students should be able to write the state and complementary equations associated with a thermomechanical model. They should be able to prepare a complete energy balance by calculating, in particular, deformation energy, dissipated energy, and heat sources induced by thermomechanical couplings.
- Heterogeneous Elasticity: This course focuses on extending the concept of elasticity to anisotropic media, heterogeneous media (design of composite materials), and large deformations (entropic elasticity of elastomers).
- Vibrations and Dynamic Systems: Basic concepts in vibrations for modeling a single degree of freedom, with and without damping. Free vibrations. Forced vibrations. Study of the phenomenon of resonance.
Modeling of systems with two degrees of freedom. Resonance and antiresonance.
Study of systems with a large number of degrees of freedom (e.g., resulting from finite element modeling). Study of eigenmodes.
Design for dynamic loads.
Case Study
Level of Education
4-year college degree
ECTS
2 credits
Training Structure
College of Sciences
This course unit allows students to apply the key steps of a mechanical design process—from the initial specifications to prototype qualification—to one or more real-world cases addressed in previous years as part of industrial projects. It thus supports the current year’s industrial projects by drawing on the same skills, but in the context of one or more cases that have already been resolved, as opposed to ongoing projects. It therefore requires students to apply the various skills acquired in other course units—particularly non-technical ones—from either the Master’s or Bachelor’s programs (fundamentals of dynamics, strength of materials, continuum mechanics, vibrations, finite element simulation) to one or more real-world mechanisms that students can handle and experiment with.
Internship in an industrial setting or a research laboratory
Level of Education
4-year college degree
ECTS
15 credits
Training Structure
College of Sciences
The internship takes place at a company or in a laboratory. During the internship, the student must demonstrate:
his or her understanding of a broad range of basic sciences and the associated analytical and synthesis skills;
their ability to draw on resources from a specific scientific and technical field;
his or her mastery of engineering methods and tools: identifying, modeling, and solving problems—even those that are unfamiliar or incompletely defined—using computer tools, and analyzing and designing systems;
its ability to design, implement, test, and validate innovative solutions, methods, products, systems, and services
their ability to conduct research—whether basic or applied—to set up experimental designs, and to embrace collaborative work;
their ability to find relevant information, evaluate it, and make use of it;
's ability to take into account the company's challenges: economic factors, quality standards, competitiveness and productivity, business requirements, and business intelligence;
their ability to address issues related to workplace relationships, ethics, accountability, and occupational safety and health;
: the ability to enter the workforce, integrate into an organization, lead it, and drive its development—including exercising responsibility, demonstrating teamwork, managing projects, serving as a project owner, and communicating effectively with both specialists and non-specialists;
the ability to work in an international setting: proficiency in one or more foreign languages and the associated cultural openness;
their ability to understand themselves, to self-assess, to manage their skills (particularly from the perspective of lifelong learning), and to make career choices.
Coupled Mechanical Behaviors II
Level of Education
4-year college degree
ECTS
5 credits
Training Structure
College of Sciences
- Viscoelasticity: The objective of this section is to delve deeper into the modeling of viscoelastic behaviors already covered in the ECUE “Rheology 1” course in order to introduce the generalized “series” and “parallel” versions of the Biot model. From a more “materials-oriented” perspective, the concepts of relaxation time spectra are introduced to account for the transformations typically observed in polymers, as well as the concept of time-temperature equivalence.
- Plasticity: Present the basic plasticity models used in finite element analysis codes (isotropic and kinematic models). A connection is made with the metallurgy course to highlight the microstructural phenomena considered when developing macroscopic models. Similarly, the course will build on the rheology course and the materials lab sessions, which helped clarify the concepts of yield threshold and work hardening. The models developed can be used in projects focused on numerical simulation.
- Damage: Describe the various microscopic manifestations of damage in brittle and ductile materials.
Introduce a thermomechanical theory (Kachanov-Lemaitre) of damage that allows for the development of continuous models suited to the type of material under study (brittle and ductile materials) as well as the loading mode (creep, low-cycle fatigue, and high-cycle fatigue). The models developed may be used in the elective project.
"Modeling and Simulation" Project
Level of Education
4-year college degree
ECTS
5 credits
Training Structure
College of Sciences
Description*: A project carried out in a research laboratory or in connection with an industrial problem, during which the student, either individually or in a group, must engage with the problem proposed by the research team and use the modeling and computational tools acquired during their training to solve it and propose a solution. The student must present a written and oral report on their approach and the results obtained.
Design and Additive Manufacturing
Level of Education
4-year college degree
ECTS
3 credits
Training Structure
College of Sciences
This course provides an introduction to new design methods associated with additive manufacturing techniques, enabling students to create a part using a 3D printer (polymer-based). The course covers the entire process, from computer-aided design (CAD) tailored to the capabilities of the process, to the optimization of the part’s geometry (topological optimization), the preparation and initiation of the manufacturing process, and the post-printing finishing steps.
Starting a Business
Level of Education
5 years of post-secondary education
ECTS
3 credits
Training Structure
College of Sciences
This course unit applies to the “Innovative Mechanics Project.” The goal is to provide students with the tools to simulate the process of starting a business based on the product or product line developed as part of the innovative project.
This learning unit is divided into:
a course taught by professionals in the field of entrepreneurship
Consultations provided by professionals to guide students (in groups of up to three) through a simulation of starting their own business.
Divided Media and Numerical Methods
Level of Education
4-year college degree
ECTS
5 credits
Training Structure
College of Sciences
This course provides a general introduction to 1) the physics and mechanics of granular media and 2) their modeling using discrete methods (DEM). The multiscale nature of a granular material is discussed, ranging from the microscopic scale (contact interactions) to the macroscopic scale (structural scale). A phenomenological description of macroscopic behavior as well as microscopic properties is discussed for the static, quasi-static, and flow states of granular media. Micromechanical models and scale-change approaches based on dimensionless analyses, averaged quantities, stress transmission, and the presence of anisotropies are introduced. The influence of particle properties and contact interactions on the microstructure is also discussed. Numerical approaches such as discrete methods (Discrete Element Methods, DEM), regular methods (Molecular Dynamics), and non-regular methods (Contact Dynamics) are presented. In particular, the Contact Dynamics method will be applied to simple examples using the LMGC90 computational code.
Motion Capture and Inverse Dynamics
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
This course is common to both the CSIM and Biomechanics tracks. It combines skills in the mechanics of rigid bodies and imaging. It applies to problems in biomechanics, robotics, and many other fields related to motion analysis, such as “motion capture” for video games. It consists of a theoretical component—including lectures and tutorials—and a practical component—laboratory sessions conducted in collaboration with the STAPS department.
Employment Placement
Level of Education
5 years of post-secondary education
ECTS
2 credits
Training Structure
College of Sciences
The purpose of this course unit is to prepare students for job interviews by providing them with the tools they need to highlight their past experiences.
This training is conducted using mock interview exercises based on actual job postings.
Labor law here focuses on an analysis of the main provisions of an employment contract, including, in particular, the obligations of the employee, the obligations of the employer, and the termination of the employment relationship.
Composite Materials and Laminates
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
Although natural composite materials have been in use for thousands of years, the high-tech applications of advanced composites have only been used in the aerospace industry for the past fifty years. Applications are becoming increasingly diverse: from aircraft structures and hydrogen tanks to tennis rackets and boats. The objective of this course is to analyze and design structures made of laminated composite materials using industrial simulation software. To this end, an overview of the various components of petrochemical-based and natural composites is provided. Next, the manufacturing processes are discussed. Finally, a theoretical and applied study of laminated composites is conducted. A practical application of these important theoretical concepts is carried out using industrial simulation software (ANSYS) during lab sessions and a project.
Calculation Notes
Level of Education
5 years of post-secondary education
ECTS
6 credits
Training Structure
College of Sciences
This course is a continuation of the “Advanced Numerical Simulation” module. It is a project-based module that focuses on computational aspects, similar to what is done in engineering design firms.
Advanced simulation
Level of Education
5 years of post-secondary education
ECTS
4 credits
Training Structure
College of Sciences
Chapter 1: Large Deformations and Numerical Analysis
Chapter 2: Numerical Solutions to Steady-State and Transient Problems (Elastoplasticity, Contact, Friction)
Chapter 3: Numerical Solutions in Transient Dynamics and Modal Analysis
The lectures are supplemented by application-based tutorials, and the lab sessions are conducted using ANSYS software.
Measurement and Imaging in Mechanical R&D
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
Field measurements are increasingly used in engineering, particularly in mechanical engineering. The objective of this module is to introduce the fundamentals of various imaging methods using image interpretation models of increasing complexity.
We begin by defining the operating principles of imaging devices, then present some tools from mathematical morphology to extract statistical information about geometric quantities.
We then discuss infrared thermography methods through two interpretive models: camera calibration and thermal problem inversion to identify heat sources.
Finally, image correlation methods are presented, with an emphasis on the various underlying interpretive models (camera, transformation, conservation of optical flux, likelihood criterion).The course concludes with a comparison between experimental measurements and a numerical model using a finite-element model registration method. The theoretical lectures are supplemented by laboratory sessions that allow students to apply the processing methods and illustrate the influence of the main analysis parameters.
Final Project
Level of Education
5 years of post-secondary education
ECTS
10 credits
Training Structure
College of Sciences
This course is of paramount importance to the program. It involves applying all the knowledge and skills acquired throughout the program by carrying out a long-term scientific project.
Internship in an industrial setting or research laboratory
ECTS
15 credits
Training Structure
College of Sciences
Starting a Business
Level of Education
5 years of post-secondary education
ECTS
3 credits
Training Structure
College of Sciences
This course unit applies to the “Innovative Mechanics Project.” The goal is to provide students with the tools to simulate the process of starting a business based on the product or product line developed as part of the innovative project.
This learning unit is divided into:
a course taught by professionals in the field of entrepreneurship
Consultations provided by professionals to guide students (in groups of up to three) through a simulation of starting their own business.
Divided Media and Numerical Methods
Level of Education
4-year college degree
ECTS
5 credits
Training Structure
College of Sciences
This course provides a general introduction to 1) the physics and mechanics of granular media and 2) their modeling using discrete methods (DEM). The multiscale nature of a granular material is discussed, ranging from the microscopic scale (contact interactions) to the macroscopic scale (structural scale). A phenomenological description of macroscopic behavior as well as microscopic properties is discussed for the static, quasi-static, and flow states of granular media. Micromechanical models and scale-change approaches based on dimensionless analyses, averaged quantities, stress transmission, and the presence of anisotropies are introduced. The influence of particle properties and contact interactions on the microstructure is also discussed. Numerical approaches such as discrete methods (Discrete Element Methods, DEM), regular methods (Molecular Dynamics), and non-regular methods (Contact Dynamics) are presented. In particular, the Contact Dynamics method will be applied to simple examples using the LMGC90 computational code.
Motion Capture and Inverse Dynamics
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
This course is common to both the CSIM and Biomechanics tracks. It combines skills in the mechanics of rigid bodies and imaging. It applies to problems in biomechanics, robotics, and many other fields related to motion analysis, such as “motion capture” for video games. It consists of a theoretical component—including lectures and tutorials—and a practical component—laboratory sessions conducted in collaboration with the STAPS department.
Employment Placement
Level of Education
5 years of post-secondary education
ECTS
2 credits
Training Structure
College of Sciences
The purpose of this course unit is to prepare students for job interviews by providing them with the tools they need to highlight their past experiences.
This training is conducted using mock interview exercises based on actual job postings.
Labor law here focuses on an analysis of the main provisions of an employment contract, including, in particular, the obligations of the employee, the obligations of the employer, and the termination of the employment relationship.
Composite Materials and Laminates
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
Although natural composite materials have been in use for thousands of years, the high-tech applications of advanced composites have only been used in the aerospace industry for the past fifty years. Applications are becoming increasingly diverse: from aircraft structures and hydrogen tanks to tennis rackets and boats. The objective of this course is to analyze and design structures made of laminated composite materials using industrial simulation software. To this end, an overview of the various components of petrochemical-based and natural composites is provided. Next, the manufacturing processes are discussed. Finally, a theoretical and applied study of laminated composites is conducted. A practical application of these important theoretical concepts is carried out using industrial simulation software (ANSYS) during lab sessions and a project.
Calculation Notes
Level of Education
5 years of post-secondary education
ECTS
6 credits
Training Structure
College of Sciences
This course is a continuation of the “Advanced Numerical Simulation” module. It is a project-based module that focuses on computational aspects, similar to what is done in engineering design firms.
Advanced simulation
Level of Education
5 years of post-secondary education
ECTS
4 credits
Training Structure
College of Sciences
Chapter 1: Large Deformations and Numerical Analysis
Chapter 2: Numerical Solutions to Steady-State and Transient Problems (Elastoplasticity, Contact, Friction)
Chapter 3: Numerical Solutions in Transient Dynamics and Modal Analysis
The lectures are supplemented by application-based tutorials, and the lab sessions are conducted using ANSYS software.
Measurement and Imaging in Mechanical R&D
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
Field measurements are increasingly used in engineering, particularly in mechanical engineering. The objective of this module is to introduce the fundamentals of various imaging methods using image interpretation models of increasing complexity.
We begin by defining the operating principles of imaging devices, then present some tools from mathematical morphology to extract statistical information about geometric quantities.
We then discuss infrared thermography methods through two interpretive models: camera calibration and thermal problem inversion to identify heat sources.
Finally, image correlation methods are presented, with an emphasis on the various underlying interpretive models (camera, transformation, conservation of optical flux, likelihood criterion).The course concludes with a comparison between experimental measurements and a numerical model using a finite-element model registration method. The theoretical lectures are supplemented by laboratory sessions that allow students to apply the processing methods and illustrate the influence of the main analysis parameters.
Final Project
Level of Education
5 years of post-secondary education
ECTS
10 credits
Training Structure
College of Sciences
This course is of paramount importance to the program. It involves applying all the knowledge and skills acquired throughout the program by carrying out a long-term scientific project.
Internship in an industrial setting or research laboratory
ECTS
15 credits
Training Structure
College of Sciences
Finite Element Simulation
Level of Education
4-year college degree
Training Structure
College of Sciences
Time of year
Fall
The goal of this course is to introduce students to the finite element method as applied to one-, two-, and three-dimensional problems in engineering and applied science. This introduction is presented within the framework of linear elasticity and small perturbations in statics. Building on prerequisites in mathematics and solid mechanics, the principle of discretization is first addressed through the Ritz and Galerkin approaches for one-dimensional media. Next, the issue of numerical integration is addressed using Gauss’s method. Meshing and the validation of computational models are then discussed in the context of surface modeling with 2D elements. Finally, these concepts will be used to establish the complete formalism of the finite element method for bar and beam elements, followed by triangular elements. A practical application of these important theoretical concepts is carried out using industrial simulation software (ANSYS) during lab sessions and a project.
Employment Placement
Level of Education
4-year college degree
ECTS
2 credits
Training Structure
College of Sciences
The purpose of this course unit is to prepare students for job interviews by providing them with the tools they need to highlight their past experiences.
This training is conducted using mock interview exercises based on actual job postings.
Business Management - Marketing
Level of Education
4-year college degree
ECTS
4 credits
Training Structure
College of Sciences
This course introduces students to:
- to management within the company, by presenting the company as both an economic and legal entity, on the one hand, and by addressing the strategic approach as a whole, on the other.
- corporate marketing, from market research to operational marketing. The marketing approach will be directly applied as part of the industrial design project led by the student teams.
Class sessions will be supplemented by a company visit, as well as a methodological approach involvingthe analysis of real-worldcase studies.
Technical English
ECTS
4 credits
Training Structure
College of Sciences
Fluid Mechanics and Heat Transfer
Level of Education
4-year college degree
Training Structure
College of Sciences
Time of year
Fall
: This 42-hour course is divided into two parts (1/3, 2/3) to provide the fundamentals of heat transfer and fluid mechanics (3D). Fluids will be treated as continuous media. A “particle” is defined as a volume element that is infinitely small for mathematical description but large enough relative to molecules to be described by continuous functions. This course builds upon the L3 course on modeling elastic media as well as the course on fluid mechanics (1D).
Vibrations and Variational Methods
Level of Education
5 years of post-secondary education
Training Structure
College of Sciences
This 42-hour course is divided into two identical parts that run concurrently. The first part focuses on the study of vibration problems in discrete media and in 1D continuous media (strings, beams). The second part focuses on the use of variational formulations to reformulate the problems studied in L3 into RDM and 3D elasticity. This approach allows us to propose optimized approximate solutions. This part of the course establishes a connection between RDM, 3D elasticity, and the second-semester course on finite elements.
Definition of Industrial Products
Level of Education
4-year college degree
ECTS
5 credits
Training Structure
College of Sciences
At the start of this course unit, the student group (maximum of 4) is provided with a set of documents, which always includes the Product Functional Specifications containing a validated conceptual design. The student group must then conduct a critical analysis of the documents provided and develop an organizational plan to produce a technical dossier containing all the component drawings for the product.
As part of this process, the student must complete an essential step that involves defining the product (CAD model) and justifying, through a set of calculation notes, the selection of components and the sizing of the product’s parts.
During the final project review, in the presence of the client, the group of students will present these results.
Prototype Development and Validation
Level of Education
4-year college degree
ECTS
5 credits
Training Structure
College of Sciences
This course unit is a continuation of the course unit “Industrial Product Design.” Based on the product design specifications, the student group (maximum of 4 students) must build a functional prototype of the solution that was subsequently approved. While building the prototype, the student group must:
manage the outsourcing of parts to be manufactured and the purchase of standard components;
inspect manufactured parts and purchased components;
Build the prototype based on an assembly diagram created by the students.
Based on the description of the functions available in the CDCF, the student group must evaluate the functional prototype by using all available experimental methods to verify each criterion and by proposing corrective solutions in the event of noncompliance.
Case Study
Level of Education
4-year college degree
ECTS
2 credits
Training Structure
College of Sciences
This course unit allows students to apply the key steps of a mechanical design process—from the initial specifications to prototype qualification—to one or more real-world cases addressed in previous years as part of industrial projects. It thus supports the current year’s industrial projects by drawing on the same skills, but in the context of one or more cases that have already been resolved, as opposed to ongoing projects. It therefore requires students to apply the various skills acquired in other course units—particularly non-technical ones—from either the Master’s or Bachelor’s programs (fundamentals of dynamics, strength of materials, continuum mechanics, vibrations, finite element simulation) to one or more real-world mechanisms that students can handle and experiment with.
Internship in an industrial setting or a research laboratory
Level of Education
4-year college degree
ECTS
15 credits
Training Structure
College of Sciences
The internship takes place at a company or in a laboratory. During the internship, the student must demonstrate:
his or her understanding of a broad range of basic sciences and the associated analytical and synthesis skills;
their ability to draw on resources from a specific scientific and technical field;
his or her mastery of engineering methods and tools: identifying, modeling, and solving problems—even those that are unfamiliar or incompletely defined—using computer tools, and analyzing and designing systems;
its ability to design, implement, test, and validate innovative solutions, methods, products, systems, and services
their ability to conduct research—whether basic or applied—to set up experimental designs, and to embrace collaborative work;
their ability to find relevant information, evaluate it, and make use of it;
's ability to take into account the company's challenges: economic factors, quality standards, competitiveness and productivity, business requirements, and business intelligence;
their ability to address issues related to workplace relationships, ethics, accountability, and occupational safety and health;
: the ability to enter the workforce, integrate into an organization, lead it, and drive its development—including exercising responsibility, demonstrating teamwork, managing projects, serving as a project owner, and communicating effectively with both specialists and non-specialists;
the ability to work in an international setting: proficiency in one or more foreign languages and the associated cultural openness;
their ability to understand themselves, to self-assess, to manage their skills (particularly from the perspective of lifelong learning), and to make career choices.
Design and Additive Manufacturing
Level of Education
4-year college degree
ECTS
3 credits
Training Structure
College of Sciences
This course provides an introduction to new design methods associated with additive manufacturing techniques, enabling students to create a part using a 3D printer (polymer-based). The course covers the entire process, from computer-aided design (CAD) tailored to the capabilities of the process, to the optimization of the part’s geometry (topological optimization), the preparation and initiation of the manufacturing process, and the post-printing finishing steps.
CAD, Product Design, and Graphic Design
Level of Education
4-year college degree
ECTS
5 credits
Training Structure
College of Sciences
Product Design: Study of the fundamentals of industrial design. Exploring solutions through sketching and creative methods based on a chosen personal project. Creating a plasticine model of the project to be realized using CAD.
Graphic Design: Introduction to sketching for industrial design.
CAD: 3D solid and surface modeling using Onshape for the chosen project.
Starting a Business
Level of Education
5 years of post-secondary education
ECTS
3 credits
Training Structure
College of Sciences
This course unit applies to the “Innovative Mechanics Project.” The goal is to provide students with the tools to simulate the process of starting a business based on the product or product line developed as part of the innovative project.
This learning unit is divided into:
a course taught by professionals in the field of entrepreneurship
Consultations provided by professionals to guide students (in groups of up to three) through a simulation of starting their own business.
Employment Placement
Level of Education
5 years of post-secondary education
ECTS
2 credits
Training Structure
College of Sciences
The purpose of this course unit is to prepare students for job interviews by providing them with the tools they need to highlight their past experiences.
This training is conducted using mock interview exercises based on actual job postings.
Labor law here focuses on an analysis of the main provisions of an employment contract, including, in particular, the obligations of the employee, the obligations of the employer, and the termination of the employment relationship.
Composite Materials and Laminates
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
Although natural composite materials have been in use for thousands of years, the high-tech applications of advanced composites have only been used in the aerospace industry for the past fifty years. Applications are becoming increasingly diverse: from aircraft structures and hydrogen tanks to tennis rackets and boats. The objective of this course is to analyze and design structures made of laminated composite materials using industrial simulation software. To this end, an overview of the various components of petrochemical-based and natural composites is provided. Next, the manufacturing processes are discussed. Finally, a theoretical and applied study of laminated composites is conducted. A practical application of these important theoretical concepts is carried out using industrial simulation software (ANSYS) during lab sessions and a project.
Product, Materials, Processes, and Industrialization
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
The Product-Material-Process framework is explored through company visits covering the following topics:
- welding (Cameron France);
high-capacity machining and non-destructive testing (Cameron France);
the RIM process (Ados);
plastic injection molding (Cid Plastique);
waterjet cutting (MP waterjet)
the production of profiles and their heat treatment (System Profiles)
3D Printing (Plastic/Metal)
Each of these visits is organized within the university by the staff member in charge of the visit. These sessions conclude with case studies.
The professionals we met during the activities in this course unit are contributing their technical expertise to the industrialization phase of the innovative product.
Mechanical Modeling and Simulation – Case Study
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
The objective of this module is to provide hands-on experience with numerical simulation tools (finite element software or mechanism simulation software), while clearly emphasizing their limitations, through case studies on: isotropic HPP elasticity, modal analysis, mechanism simulation, topological optimization, thermal and thermomechanical analyses, etc. In most of the examples covered, we will seek to demonstrate the value of experimentation, both for informing the models during the initial stages and for validating them at the end of the process.
Innovative Project
Level of Education
5 years of post-secondary education
ECTS
8 credits
Training Structure
College of Sciences
The objective of this course unit is to develop a new product. The idea or new need is proposed by the project group, consisting of no more than 2 or 3 students. This innovative project covers the various phases of a project, from defining the need to creating a functional prototype (see product pre-industrialization), including competitive analysis, exploring conceptual solutions, defining validated solutions, and drafting the patent claims once the technical solution has been defined. This innovative project is linked to five other course units:
CAD and prototyping, which involves creating a digital model and building a functional prototype;
graphic design project in which the student develops the communication materials for this innovative project: packaging, poster, presentation video, and website homepage;
eco-design, in which the student defines the “environmental value of his or her innovative product.”
Product-Material-Process and Industrialization
starting a business;
Standards and Regulations
Level of Education
5 years of post-secondary education
ECTS
2 credits
Training Structure
College of Sciences
This course is common to both the CDPI and Biomechanics tracks. It lies at the heart of any industrial product design process, whether in the healthcare sector or any other field. In this course, various stakeholders from the socio-economic sector will contribute their expertise in this field.
Product Design and Prototyping
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
This course is linked to the innovative project. With the involvement of a product designer, students must be able to incorporate design into the product development process at a very early stage.
Functional studies of the product's skin are conducted using foam models and/or 3D-printed models. Once validated, the functional prototype is manufactured using the resources available in the mechanical engineering department (conventional manufacturing, CNC machining, and 3D printing).
The prototype is validated during a project review titled “Functional Prototype Qualification.”
Eco-design
Level of Education
5 years of post-secondary education
ECTS
3 credits
Training Structure
College of Sciences
This course is linked to the innovative project. With the participation of an eco-design professional, students will be able to:
Incorporateeco-design into product design;
Optimize the environmental footprint of products (using "product life cycle assessment" software);
Minimize the energy requirements of products;
Promote the company's image as a responsible organization;
Plan ahead for environmental labeling.
Graphic Design
ECTS
2 credits
Training Structure
College of Sciences
This course is linked to the innovative project. With the help of a professional graphic designer, students are able to create communication materials using the software they have studied (Photoshop, GIMP, Inkscape, etc.).
The projects involve designing a logo, a poster, product packaging, and a website for the simulated company.
A project review specific to this learning unit allows for the validation of the proposed communication elements.
Internship in an industrial setting or research laboratory
ECTS
15 credits
Training Structure
College of Sciences
Production Management and Quality
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
This course aims to provide knowledge of the vocabulary and key tools used in production departments to organize production and ensure the required level of quality, while adhering to cost and deadline constraints.
Starting a Business
Level of Education
5 years of post-secondary education
ECTS
3 credits
Training Structure
College of Sciences
This course unit applies to the “Innovative Mechanics Project.” The goal is to provide students with the tools to simulate the process of starting a business based on the product or product line developed as part of the innovative project.
This learning unit is divided into:
a course taught by professionals in the field of entrepreneurship
Consultations provided by professionals to guide students (in groups of up to three) through a simulation of starting their own business.
Employment Placement
Level of Education
5 years of post-secondary education
ECTS
2 credits
Training Structure
College of Sciences
The purpose of this course unit is to prepare students for job interviews by providing them with the tools they need to highlight their past experiences.
This training is conducted using mock interview exercises based on actual job postings.
Labor law here focuses on an analysis of the main provisions of an employment contract, including, in particular, the obligations of the employee, the obligations of the employer, and the termination of the employment relationship.
Composite Materials and Laminates
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
Although natural composite materials have been in use for thousands of years, the high-tech applications of advanced composites have only been used in the aerospace industry for the past fifty years. Applications are becoming increasingly diverse: from aircraft structures and hydrogen tanks to tennis rackets and boats. The objective of this course is to analyze and design structures made of laminated composite materials using industrial simulation software. To this end, an overview of the various components of petrochemical-based and natural composites is provided. Next, the manufacturing processes are discussed. Finally, a theoretical and applied study of laminated composites is conducted. A practical application of these important theoretical concepts is carried out using industrial simulation software (ANSYS) during lab sessions and a project.
Product, Materials, Processes, and Industrialization
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
The Product-Material-Process framework is explored through company visits covering the following topics:
- welding (Cameron France);
high-capacity machining and non-destructive testing (Cameron France);
the RIM process (Ados);
plastic injection molding (Cid Plastique);
waterjet cutting (MP waterjet)
the production of profiles and their heat treatment (System Profiles)
3D Printing (Plastic/Metal)
Each of these visits is organized within the university by the staff member in charge of the visit. These sessions conclude with case studies.
The professionals we met during the activities in this course unit are contributing their technical expertise to the industrialization phase of the innovative product.
Innovative Project for Apprentices
ECTS
10 credits
Training Structure
College of Sciences
Mechanical Modeling and Simulation – Case Study
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
The objective of this module is to provide hands-on experience with numerical simulation tools (finite element software or mechanism simulation software), while clearly emphasizing their limitations, through case studies on: isotropic HPP elasticity, modal analysis, mechanism simulation, topological optimization, thermal and thermomechanical analyses, etc. In most of the examples covered, we will seek to demonstrate the value of experimentation, both for informing the models during the initial stages and for validating them at the end of the process.
Apprentice Training Program
ECTS
20 credits
Training Structure
College of Sciences
Eco-design
Level of Education
5 years of post-secondary education
ECTS
3 credits
Training Structure
College of Sciences
This course is linked to the innovative project. With the participation of an eco-design professional, students will be able to:
Incorporateeco-design into product design;
Optimize the environmental footprint of products (using "product life cycle assessment" software);
Minimize the energy requirements of products;
Promote the company's image as a responsible organization;
Plan ahead for environmental labeling.
Graphic Design
ECTS
2 credits
Training Structure
College of Sciences
This course is linked to the innovative project. With the help of a professional graphic designer, students are able to create communication materials using the software they have studied (Photoshop, GIMP, Inkscape, etc.).
The projects involve designing a logo, a poster, product packaging, and a website for the simulated company.
A project review specific to this learning unit allows for the validation of the proposed communication elements.
Production Management and Quality
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
This course aims to provide knowledge of the vocabulary and key tools used in production departments to organize production and ensure the required level of quality, while adhering to cost and deadline constraints.
Finite Element Simulation
Level of Education
4-year college degree
Training Structure
College of Sciences
Time of year
Fall
The goal of this course is to introduce students to the finite element method as applied to one-, two-, and three-dimensional problems in engineering and applied science. This introduction is presented within the framework of linear elasticity and small perturbations in statics. Building on prerequisites in mathematics and solid mechanics, the principle of discretization is first addressed through the Ritz and Galerkin approaches for one-dimensional media. Next, the issue of numerical integration is addressed using Gauss’s method. Meshing and the validation of computational models are then discussed in the context of surface modeling with 2D elements. Finally, these concepts will be used to establish the complete formalism of the finite element method for bar and beam elements, followed by triangular elements. A practical application of these important theoretical concepts is carried out using industrial simulation software (ANSYS) during lab sessions and a project.
Employment Placement
Level of Education
4-year college degree
ECTS
2 credits
Training Structure
College of Sciences
The purpose of this course unit is to prepare students for job interviews by providing them with the tools they need to highlight their past experiences.
This training is conducted using mock interview exercises based on actual job postings.
Business Management - Marketing
Level of Education
4-year college degree
ECTS
4 credits
Training Structure
College of Sciences
This course introduces students to:
- to management within the company, by presenting the company as both an economic and legal entity, on the one hand, and by addressing the strategic approach as a whole, on the other.
- corporate marketing, from market research to operational marketing. The marketing approach will be directly applied as part of the industrial design project led by the student teams.
Class sessions will be supplemented by a company visit, as well as a methodological approach involvingthe analysis of real-worldcase studies.
Technical English
ECTS
4 credits
Training Structure
College of Sciences
Health Basics (Introduction to Health and Biology)
Level of Education
4-year college degree
ECTS
5 credits
Training Structure
College of Sciences
This course is the first in the “bio” section of the biomechanics curriculum. It is intended for students with a background in mechanical engineering. Its purpose is to provide students with a basic understanding of health and biology, enabling them to better grasp future biomechanics courses and projects.
Fluid Mechanics and Heat Transfer
Level of Education
4-year college degree
Training Structure
College of Sciences
Time of year
Fall
: This 42-hour course is divided into two parts (1/3, 2/3) to provide the fundamentals of heat transfer and fluid mechanics (3D). Fluids will be treated as continuous media. A “particle” is defined as a volume element that is infinitely small for mathematical description but large enough relative to molecules to be described by continuous functions. This course builds upon the L3 course on modeling elastic media as well as the course on fluid mechanics (1D).
Vibrations and Variational Methods
Level of Education
5 years of post-secondary education
Training Structure
College of Sciences
This 42-hour course is divided into two identical parts that run concurrently. The first part focuses on the study of vibration problems in discrete media and in 1D continuous media (strings, beams). The second part focuses on the use of variational formulations to reformulate the problems studied in L3 into RDM and 3D elasticity. This approach allows us to propose optimized approximate solutions. This part of the course establishes a connection between RDM, 3D elasticity, and the second-semester course on finite elements.
Case Study
Level of Education
4-year college degree
ECTS
2 credits
Training Structure
College of Sciences
This course unit allows students to apply the key steps of a mechanical design process—from the initial specifications to prototype qualification—to one or more real-world cases addressed in previous years as part of industrial projects. It thus supports the current year’s industrial projects by drawing on the same skills, but in the context of one or more cases that have already been resolved, as opposed to ongoing projects. It therefore requires students to apply the various skills acquired in other course units—particularly non-technical ones—from either the Master’s or Bachelor’s programs (fundamentals of dynamics, strength of materials, continuum mechanics, vibrations, finite element simulation) to one or more real-world mechanisms that students can handle and experiment with.
"Bioméca" Project
Level of Education
4-year college degree
ECTS
5 credits
Training Structure
College of Sciences
This course is offered only in the biomechanics track. It is a project-based module that may be digital or experimental in nature, but focuses on biomechanical aspects.
Internship in an industrial setting or a research laboratory
Level of Education
4-year college degree
ECTS
15 credits
Training Structure
College of Sciences
The internship takes place at a company or in a laboratory. During the internship, the student must demonstrate:
his or her understanding of a broad range of basic sciences and the associated analytical and synthesis skills;
their ability to draw on resources from a specific scientific and technical field;
his or her mastery of engineering methods and tools: identifying, modeling, and solving problems—even those that are unfamiliar or incompletely defined—using computer tools, and analyzing and designing systems;
its ability to design, implement, test, and validate innovative solutions, methods, products, systems, and services
their ability to conduct research—whether basic or applied—to set up experimental designs, and to embrace collaborative work;
their ability to find relevant information, evaluate it, and make use of it;
's ability to take into account the company's challenges: economic factors, quality standards, competitiveness and productivity, business requirements, and business intelligence;
their ability to address issues related to workplace relationships, ethics, accountability, and occupational safety and health;
: the ability to enter the workforce, integrate into an organization, lead it, and drive its development—including exercising responsibility, demonstrating teamwork, managing projects, serving as a project owner, and communicating effectively with both specialists and non-specialists;
the ability to work in an international setting: proficiency in one or more foreign languages and the associated cultural openness;
their ability to understand themselves, to self-assess, to manage their skills (particularly from the perspective of lifelong learning), and to make career choices.
Design and Additive Manufacturing
Level of Education
4-year college degree
ECTS
3 credits
Training Structure
College of Sciences
This course provides an introduction to new design methods associated with additive manufacturing techniques, enabling students to create a part using a 3D printer (polymer-based). The course covers the entire process, from computer-aided design (CAD) tailored to the capabilities of the process, to the optimization of the part’s geometry (topological optimization), the preparation and initiation of the manufacturing process, and the post-printing finishing steps.
CAD, Product Design, and Graphic Design
Level of Education
4-year college degree
ECTS
5 credits
Training Structure
College of Sciences
Product Design: Study of the fundamentals of industrial design. Exploring solutions through sketching and creative methods based on a chosen personal project. Creating a plasticine model of the project to be realized using CAD.
Graphic Design: Introduction to sketching for industrial design.
CAD: 3D solid and surface modeling using Onshape for the chosen project.
Standards and Regulations
Level of Education
5 years of post-secondary education
ECTS
2 credits
Training Structure
College of Sciences
This course is common to both the CDPI and Biomechanics tracks. It lies at the heart of any industrial product design process, whether in the healthcare sector or any other field. In this course, various stakeholders from the socio-economic sector will contribute their expertise in this field.
Biomechanics
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
Biomechanics is an interdisciplinary field that has grown significantly in recent years. It covers numerous fields of application, such as sports movement analysis, accident analysis, traumatology, orthopedics, the biocompatibility of osteoarticular prostheses, functional rehabilitation, diagnostic support and management of respiratory and cardiovascular diseases, tissue growth and remodeling, tissue engineering, and more.
Starting a Business
Level of Education
5 years of post-secondary education
ECTS
3 credits
Training Structure
College of Sciences
This course unit applies to the “Innovative Mechanics Project.” The goal is to provide students with the tools to simulate the process of starting a business based on the product or product line developed as part of the innovative project.
This learning unit is divided into:
a course taught by professionals in the field of entrepreneurship
Consultations provided by professionals to guide students (in groups of up to three) through a simulation of starting their own business.
Fundamentals of Materials Mechanics
Level of Education
5 years of post-secondary education
ECTS
3 credits
Training Structure
College of Sciences
This module provides the basic concepts needed to understand the various mechanical behaviors of materials and to see how they can be studied through experiments or models. The module will begin with a basic review of continuum mechanics under the Small Disturbance Assumption (SDA). The different classes of mechanical behavior in materials will be studied (elasticity, viscoelasticity, plasticity, etc.), as well as the various mechanical moduli (Young’s modulus, compressibility, shear modulus, Poisson’s ratio, etc.), for all types of materials (metals, composites, polymers, etc.). After examining the relationships between different microstructures and mechanical properties, the main tests used to characterize the mechanical behavior of materials will be presented. Basic concepts in anisotropic elasticity will also be presented (anisotropic elasticity tensors, orthotropy, transverse isotropy). Basic rheological models, commonly used to simply model these behaviors, will then be presented, and we will show how their parameters can be identified. The module will conclude with a presentation of dynamic mechanical analysis (DMA) methods.
Motion Capture and Inverse Dynamics
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
This course is common to both the CSIM and Biomechanics tracks. It combines skills in the mechanics of rigid bodies and imaging. It applies to problems in biomechanics, robotics, and many other fields related to motion analysis, such as “motion capture” for video games. It consists of a theoretical component—including lectures and tutorials—and a practical component—laboratory sessions conducted in collaboration with the STAPS department.
CHOICE 1
ECTS
12 credits
Training Structure
College of Sciences
CHOICE 2
ECTS
12 credits
Training Structure
College of Sciences
Employment Placement
Level of Education
5 years of post-secondary education
ECTS
2 credits
Training Structure
College of Sciences
The purpose of this course unit is to prepare students for job interviews by providing them with the tools they need to highlight their past experiences.
This training is conducted using mock interview exercises based on actual job postings.
Labor law here focuses on an analysis of the main provisions of an employment contract, including, in particular, the obligations of the employee, the obligations of the employer, and the termination of the employment relationship.
Calculation Notes
Level of Education
5 years of post-secondary education
ECTS
6 credits
Training Structure
College of Sciences
This course is a continuation of the “Advanced Numerical Simulation” module. It is a project-based module that focuses on computational aspects, similar to what is done in engineering design firms.
Advanced simulation
Level of Education
5 years of post-secondary education
ECTS
4 credits
Training Structure
College of Sciences
Chapter 1: Large Deformations and Numerical Analysis
Chapter 2: Numerical Solutions to Steady-State and Transient Problems (Elastoplasticity, Contact, Friction)
Chapter 3: Numerical Solutions in Transient Dynamics and Modal Analysis
The lectures are supplemented by application-based tutorials, and the lab sessions are conducted using ANSYS software.
CHOICE 3
ECTS
12 credits
Training Structure
College of Sciences
Mechanics of Continuous Media
ECTS
4 credits
Training Structure
College of Sciences
Finite Element Method
ECTS
3 credits
Training Structure
College of Sciences
Refresher Course (Static Mechanics, Kinematics, Dynamics)
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
Biomechanics is primarily based on various mechanical theories (solid mechanics, fluid mechanics, etc.) applied to the study of biological systems. Since the Biomechanics course is open to an audience that may not necessarily be experts in mechanics (doctors, orthopedists, physical therapists, etc.), it is necessary to introduce this audience to the basic concepts of rigid-body mechanics. Indeed, the human body can be considered, as a first approximation, as a set of body segments (foot, leg, thigh, hip, torso, etc.) connected by joints. These segments can be modeled as rigid bodies in order to study aspects related to the body’s static equilibrium, such as its movements, as well as impacts and trauma.
Measurement and Imaging in Mechanical R&D
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
Field measurements are increasingly used in engineering, particularly in mechanical engineering. The objective of this module is to introduce the fundamentals of various imaging methods using image interpretation models of increasing complexity.
We begin by defining the operating principles of imaging devices, then present some tools from mathematical morphology to extract statistical information about geometric quantities.
We then discuss infrared thermography methods through two interpretive models: camera calibration and thermal problem inversion to identify heat sources.
Finally, image correlation methods are presented, with an emphasis on the various underlying interpretive models (camera, transformation, conservation of optical flux, likelihood criterion).The course concludes with a comparison between experimental measurements and a numerical model using a finite-element model registration method. The theoretical lectures are supplemented by laboratory sessions that allow students to apply the processing methods and illustrate the influence of the main analysis parameters.
Final Project
Level of Education
5 years of post-secondary education
ECTS
10 credits
Training Structure
College of Sciences
This course is of paramount importance to the program. It involves applying all the knowledge and skills acquired throughout the program by carrying out a long-term scientific project.
Internship in an industrial setting or research laboratory
ECTS
15 credits
Training Structure
College of Sciences
Starting a Business
Level of Education
5 years of post-secondary education
ECTS
3 credits
Training Structure
College of Sciences
This course unit applies to the “Innovative Mechanics Project.” The goal is to provide students with the tools to simulate the process of starting a business based on the product or product line developed as part of the innovative project.
This learning unit is divided into:
a course taught by professionals in the field of entrepreneurship
Consultations provided by professionals to guide students (in groups of up to three) through a simulation of starting their own business.
Fundamentals of Materials Mechanics
Level of Education
5 years of post-secondary education
ECTS
3 credits
Training Structure
College of Sciences
This module provides the basic concepts needed to understand the various mechanical behaviors of materials and to see how they can be studied through experiments or models. The module will begin with a basic review of continuum mechanics under the Small Disturbance Assumption (SDA). The different classes of mechanical behavior in materials will be studied (elasticity, viscoelasticity, plasticity, etc.), as well as the various mechanical moduli (Young’s modulus, compressibility, shear modulus, Poisson’s ratio, etc.), for all types of materials (metals, composites, polymers, etc.). After examining the relationships between different microstructures and mechanical properties, the main tests used to characterize the mechanical behavior of materials will be presented. Basic concepts in anisotropic elasticity will also be presented (anisotropic elasticity tensors, orthotropy, transverse isotropy). Basic rheological models, commonly used to simply model these behaviors, will then be presented, and we will show how their parameters can be identified. The module will conclude with a presentation of dynamic mechanical analysis (DMA) methods.
Motion Capture and Inverse Dynamics
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
This course is common to both the CSIM and Biomechanics tracks. It combines skills in the mechanics of rigid bodies and imaging. It applies to problems in biomechanics, robotics, and many other fields related to motion analysis, such as “motion capture” for video games. It consists of a theoretical component—including lectures and tutorials—and a practical component—laboratory sessions conducted in collaboration with the STAPS department.
Employment Placement
Level of Education
5 years of post-secondary education
ECTS
2 credits
Training Structure
College of Sciences
The purpose of this course unit is to prepare students for job interviews by providing them with the tools they need to highlight their past experiences.
This training is conducted using mock interview exercises based on actual job postings.
Labor law here focuses on an analysis of the main provisions of an employment contract, including, in particular, the obligations of the employee, the obligations of the employer, and the termination of the employment relationship.
Biomechanics
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
Biomechanics is an interdisciplinary field that has grown significantly in recent years. It covers numerous fields of application, such as sports movement analysis, accident analysis, traumatology, orthopedics, the biocompatibility of osteoarticular prostheses, functional rehabilitation, diagnostic support and management of respiratory and cardiovascular diseases, tissue growth and remodeling, tissue engineering, and more.
Standards and Regulations
Level of Education
5 years of post-secondary education
ECTS
2 credits
Training Structure
College of Sciences
This course is common to both the CDPI and Biomechanics tracks. It lies at the heart of any industrial product design process, whether in the healthcare sector or any other field. In this course, various stakeholders from the socio-economic sector will contribute their expertise in this field.
Calculation Notes
Level of Education
5 years of post-secondary education
ECTS
6 credits
Training Structure
College of Sciences
This course is a continuation of the “Advanced Numerical Simulation” module. It is a project-based module that focuses on computational aspects, similar to what is done in engineering design firms.
Advanced simulation
Level of Education
5 years of post-secondary education
ECTS
4 credits
Training Structure
College of Sciences
Chapter 1: Large Deformations and Numerical Analysis
Chapter 2: Numerical Solutions to Steady-State and Transient Problems (Elastoplasticity, Contact, Friction)
Chapter 3: Numerical Solutions in Transient Dynamics and Modal Analysis
The lectures are supplemented by application-based tutorials, and the lab sessions are conducted using ANSYS software.
Measurement and Imaging in Mechanical R&D
Level of Education
5 years of post-secondary education
ECTS
5 credits
Training Structure
College of Sciences
Field measurements are increasingly used in engineering, particularly in mechanical engineering. The objective of this module is to introduce the fundamentals of various imaging methods using image interpretation models of increasing complexity.
We begin by defining the operating principles of imaging devices, then present some tools from mathematical morphology to extract statistical information about geometric quantities.
We then discuss infrared thermography methods through two interpretive models: camera calibration and thermal problem inversion to identify heat sources.
Finally, image correlation methods are presented, with an emphasis on the various underlying interpretive models (camera, transformation, conservation of optical flux, likelihood criterion).The course concludes with a comparison between experimental measurements and a numerical model using a finite-element model registration method. The theoretical lectures are supplemented by laboratory sessions that allow students to apply the processing methods and illustrate the influence of the main analysis parameters.
Final Project
Level of Education
5 years of post-secondary education
ECTS
10 credits
Training Structure
College of Sciences
This course is of paramount importance to the program. It involves applying all the knowledge and skills acquired throughout the program by carrying out a long-term scientific project.
Internship in an industrial setting or research laboratory
ECTS
15 credits
Training Structure
College of Sciences
Finite Element Simulation
Level of Education
4-year college degree
Training Structure
College of Sciences
Time of year
Fall
The goal of this course is to introduce students to the finite element method as applied to one-, two-, and three-dimensional problems in engineering and applied science. This introduction is presented within the framework of linear elasticity and small perturbations in statics. Building on prerequisites in mathematics and solid mechanics, the principle of discretization is first addressed through the Ritz and Galerkin approaches for one-dimensional media. Next, the issue of numerical integration is addressed using Gauss’s method. Meshing and the validation of computational models are then discussed in the context of surface modeling with 2D elements. Finally, these concepts will be used to establish the complete formalism of the finite element method for bar and beam elements, followed by triangular elements. A practical application of these important theoretical concepts is carried out using industrial simulation software (ANSYS) during lab sessions and a project.
EU NON-CORE TRAINING UNITS IDIL (ELECTIVE)
ECTS
4 credits
Training Structure
College of Sciences
Stochastic processes
Training Structure
College of Sciences
The first part of this course covers additional topics in probability theory: conditional expectation and Gaussian vectors. The second part introduces one of the main families of discrete-time stochastic processes: Markov chains. These are sequences of dependent random variables, whose dependency relationship is relatively simple since each variable depends only on the previous one. They are also a very powerful modeling tool. We will study the main properties of these processes, as well as their long-run behavior and the estimation of their parameters.
Plant Health 2.0: A Global War
ECTS
2 credits
Training Structure
School of Economics
Challenges in Chemistry for Health and the Environment
ECTS
2 credits
Training Structure
School of Economics
Time of year
Fall
Why Is Democracy Hard?
ECTS
2 credits
Training Structure
School of Economics
Time of year
Every year
Innovations in clinical biomarkers and biotechnologies for pers
ECTS
2 credits
Training Structure
School of Economics
Time of year
Fall
Mediterranean Terrestrial Ecosystems
ECTS
2 credits
Training Structure
School of Economics
Scientific Openness to Earth and Water Issues in a Global Context
ECTS
2 credits
Training Structure
School of Economics
Mediterranean Aquatic Ecosystems
ECTS
2 credits
Training Structure
College of Sciences
Time of year
Fall
Basics of Sustainable Management
ECTS
2 credits
Training Structure
School of Economics
Number of hours
20h
Time of year
Fall
Explore, understand, and learn
Training Structure
College of Sciences
The Chemistry of Beer, Wine, and the Culinary Arts
ECTS
2 credits
Training Structure
School of Pharmacy
How the Way We Move Reveals Who We Are
ECTS
2 credits
Training Structure
STAPS School
Biology by the Numbers: Measure, Predict, and Design
ECTS
2 credits
Training Structure
College of Sciences
Who's Afraid of AI?
ECTS
2 credits
Training Structure
College of Sciences
Stochastic processes
Training Structure
College of Sciences
The first part of this course covers additional topics in probability theory: conditional expectation and Gaussian vectors. The second part introduces one of the main families of discrete-time stochastic processes: Markov chains. These are sequences of dependent random variables, whose dependency relationship is relatively simple since each variable depends only on the previous one. They are also a very powerful modeling tool. We will study the main properties of these processes, as well as their long-run behavior and the estimation of their parameters.
CHOICE 2 MECA IDIL
ECTS
4 credits
Training Structure
College of Sciences
The Bionic Man
ECTS
2 credits
Training Structure
School of Economics
Innovations in clinical biomarkers and biotechnologies for pers
ECTS
2 credits
Training Structure
School of Economics
Time of year
Fall
Challenges in Chemistry for Health and the Environment
ECTS
2 credits
Training Structure
School of Economics
Time of year
Fall
Why Is Democracy Hard?
ECTS
2 credits
Training Structure
School of Economics
Time of year
Every year
Mediterranean Terrestrial Ecosystems
ECTS
2 credits
Training Structure
School of Economics
Scientific Openness to Earth and Water Issues in a Global Context
ECTS
2 credits
Training Structure
School of Economics
Plant Health 2.0: A Global War
ECTS
2 credits
Training Structure
School of Economics
One Health and Eco-Epidemiology
ECTS
2 credits
Training Structure
School of Economics
Basics of Sustainable Management
ECTS
2 credits
Training Structure
School of Economics
Number of hours
20h
Time of year
Fall
Fluid Mechanics and Heat Transfer
Level of Education
4-year college degree
Training Structure
College of Sciences
Time of year
Fall
: This 42-hour course is divided into two parts (1/3, 2/3) to provide the fundamentals of heat transfer and fluid mechanics (3D). Fluids will be treated as continuous media. A “particle” is defined as a volume element that is infinitely small for mathematical description but large enough relative to molecules to be described by continuous functions. This course builds upon the L3 course on modeling elastic media as well as the course on fluid mechanics (1D).
Personal project: research project + English
ECTS
10 credits
Training Structure
School of Economics
Research Project
ECTS
8 credits
Training Structure
School of Law and Political Science
Time of year
Fall
English
Training Structure
School of Law and Political Science
Time of year
Fall
EU French as a Foreign Language
Training Structure
School of Law and Political Science
Time of year
Fall
Biophysical Science
Level of Education
4-year college degree
ECTS
4 credits
Training Structure
College of Sciences
Number of hours
33h
The course aims to provide a general introduction to cellular and molecular biology and to contextualize the use of modern physics—through its quantitative methods and approaches—to describe biological systems and their complexity, from the molecular scale to the cellular and tissue scales.
Another fundamental topic covered is the quantification of phenomena, their physical interpretation, and their physical-mathematical modeling. The course provides an introduction to the philosophy and the full range of topics in this master’s program, which focuses on the study of the physical principles underlying the organization and dynamics of living and complex matter.
IDIL Cross-Functional Training Units
Level of Education
5 years of post-secondary education
ECTS
4 credits
Training Structure
School of Economics
In-Lab
Level of Education
5 years of post-secondary education
ECTS
2 credits
Training Structure
School of Economics
Research Internship - Mechanics and Modeling of Biological Environments
ECTS
30 credits
Training Structure
College of Sciences
Divided Media and Numerical Methods
Level of Education
4-year college degree
ECTS
5 credits
Training Structure
College of Sciences
This course provides a general introduction to 1) the physics and mechanics of granular media and 2) their modeling using discrete methods (DEM). The multiscale nature of a granular material is discussed, ranging from the microscopic scale (contact interactions) to the macroscopic scale (structural scale). A phenomenological description of macroscopic behavior as well as microscopic properties is discussed for the static, quasi-static, and flow states of granular media. Micromechanical models and scale-change approaches based on dimensionless analyses, averaged quantities, stress transmission, and the presence of anisotropies are introduced. The influence of particle properties and contact interactions on the microstructure is also discussed. Numerical approaches such as discrete methods (Discrete Element Methods, DEM), regular methods (Molecular Dynamics), and non-regular methods (Contact Dynamics) are presented. In particular, the Contact Dynamics method will be applied to simple examples using the LMGC90 computational code.
Physical Modeling of Living Systems
Level of Education
5 years of post-secondary education
ECTS
6 credits
Training Structure
College of Sciences
Number of hours
36h
This course introduces and develops various methods for modeling biological systems: from the physics of individual molecules to the physical study of systems and populations of objects (e.g., proteins) or organisms (bacteria).
These methods (both analytical and numerical) stem primarily from statistical physics, the theory of stochastic processes, and nonlinear physics.
Examples of studies are also provided based on the material covered in other modules in the M1 and M2 programs to contextualize the various examples within the framework of physical theory and quantitative experimentation on living matter.
Multidisciplinary Team Project
ECTS
10 credits
Training Structure
Education and Campus Life
EU CHX NONCORE MBES Mechanics
Training Structure
College of Sciences
Innovations in clinical biomarkers and biotechnologies for pers
ECTS
2 credits
Training Structure
School of Economics
Time of year
Fall
Challenges in Chemistry for Health and the Environment
ECTS
2 credits
Training Structure
School of Economics
Time of year
Fall
Scientific Openness to Earth and Water Issues in a Global Context
ECTS
2 credits
Training Structure
School of Economics
Why Is Democracy Hard?
ECTS
2 credits
Training Structure
School of Economics
Time of year
Every year
Plant Health 2.0: A Global War
ECTS
2 credits
Training Structure
School of Economics
One Health and Eco-Epidemiology
ECTS
2 credits
Training Structure
School of Economics
Mediterranean Terrestrial Ecosystems
ECTS
2 credits
Training Structure
School of Economics
The Bionic Man
ECTS
2 credits
Training Structure
School of Economics
Basics of Sustainable Management
ECTS
2 credits
Training Structure
School of Economics
Number of hours
20h
Time of year
Fall
Explore, understand, and learn
Training Structure
College of Sciences
The Chemistry of Beer, Wine, and the Culinary Arts
ECTS
2 credits
Training Structure
School of Pharmacy
How the Way We Move Reveals Who We Are
ECTS
2 credits
Training Structure
STAPS School
Biology by the Numbers: Measure, Predict, and Design
ECTS
2 credits
Training Structure
College of Sciences
Who's Afraid of AI?
ECTS
2 credits
Training Structure
College of Sciences
Transversal Units 2B IDIL
Training Structure
Education and Campus Life
Advanced simulation
Level of Education
5 years of post-secondary education
ECTS
4 credits
Training Structure
College of Sciences
Chapter 1: Large Deformations and Numerical Analysis
Chapter 2: Numerical Solutions to Steady-State and Transient Problems (Elastoplasticity, Contact, Friction)
Chapter 3: Numerical Solutions in Transient Dynamics and Modal Analysis
The lectures are supplemented by application-based tutorials, and the lab sessions are conducted using ANSYS software.
RESEARCH INTERNSHIP - Mechanical Engineering - MoBiEN
ECTS
30 credits
Training Structure
College of Sciences
Admission
Admission Requirements
Applications can be submitted through the following platforms:
French and European students:
- For the M1 program, follow the “My Master’s” procedure on the website: https://www.monmaster.gouv.fr/
- For the M2 program, students must submit their application through the e-candidat portal: https://candidature.umontpellier.fr/candidature
International students from outside the EU: Follow the “Études en France” procedure:https://pastel.diplomatie.gouv.fr/etudesenfrance/dyn/public/authentification/login.html