Biomechanics

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.

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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.

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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.

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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.

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: 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).

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.  

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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.

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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.

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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.

View the full page

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.

View the full page

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.

View the full page

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.

View the full page

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.

View the full page

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.

View the full page

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.

View the full page

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.

View the full page

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.

View the full page

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.

View the full page

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