MASTER MECANIQUE

The aim 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 presentation is made within the framework of linear elasticity and small perturbations in statics. Starting with prerequisites in mathematics and solid mechanics, the principle of discretization is first addressed through the approaches of Ritz and Gallerkine for one-dimensional media. Next, the problem of numerical integration is approached using the Gauss method. Meshing and validation of computational models is then addressed in the study of surface modeling with 2D elements. Finally, these notions will be used to set up the complete formalism of the finite element method within the framework of bar and beam elements, then triangle-type elements. A practical application of these important theoretical notions is carried out on an industrial calculation code (ANSYS) during practical work and a project.

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This course aims to prepare students for professional interviews by giving them the keys to value their past experiences.

This teaching is based on interview simulation games constructed on the basis of existing job offers.

See full page

This unit introduces students to:

- management in the company, by presenting the company as an economic and legal entity on the one hand and by approaching the strategic approach in its entirety on the other.

- marketing in the company, from market research to operational marketing. The marketing approach will be directly applied to the industrial creation project carried out by the student teams.

The course sessions will be complemented by a company visit, as well as by the methodological approach of concretecase studies.

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This 42h course is divided in two parts (1/3, 2/3) in order to give the basic elements in heat transfer and fluid mechanics (3D). Fluids will be considered as continuous media. We will call a particle an element of infinitely small volume for a mathematical description but large enough compared to the molecules to be described by continuous functions. This course is an extension of the course on modeling elastic media in L3 and the course on fluid mechanics (1D).

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This 42-hour course is divided into two identical parts that run in parallel. The first part concerns the study of vibration problems in discrete media and in 1D continuous media (string, beams). The second part concerns the use of variational formulations in order to reformulate the problems studied in L3 in RDM and 3D elasticity. We can then propose optimized approximate solutions. This part of the course allows to make a link between RDM, 3D elasticity and the second semester course of finite elements.

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- Generalized Standard Materials: This course presents a unified framework to describe the thermomechanical behavior of materials. Based on the notions of thermodynamics seen in the preparatory years, it introduces the notion of irreversibility in an extended framework where the nature of the state variables can become tensorial. A link with MMC is essential so that the student understands how a purely mechanical description of continuous media and systems can be completed by a thermodynamic description of the material or the constituents of the medium to be analyzed.

At the end of the course, the student should be able to write the behavioral equations of state and complementary equations associated with a thermomechanical model. He/she should be able to draw up a complete energy balance by calculating in particular the deformation energy, the dissipated energy, the heat sources induced by the thermomechanical couplings

- Heterogeneous Elasticity: In this course, the notion of elasticity is extended to anisotropic media, heterogeneous media (dimensioning of composite materials), and large transformations (entropic elasticity of elastomers).

 - Vibrations and dynamic systems: Basic notions of vibrations for a single degree of freedom modeling, with and without damping. Free vibrations. Forced vibrations. Study of the resonance phenomenon.
Modeling of systems with two degrees of freedom. Resonance and anti-resonance.
Study of systems with a large number of degrees of freedom (e.g. from finite element modeling). Study of eigenmodes.
Dimensioning with respect to dynamic loads.

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This course enables students to apply the key stages of a mechanical design approach, from initial specifications to prototype qualification, to one or more concrete cases dealt with in previous years' industrial projects. It thus supports the year's industrial projects by mobilizing the same skills, but on one or more solved cases, unlike the current projects. It therefore requires the mobilization of various skills acquired in other courses, particularly non-technological ones, in the Master's or Bachelor's program (fundamental principle of dynamics, strength of materials, continuum mechanics, vibrations, finite element simulation) on one or more real mechanisms that students can manipulate and experiment with.

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The internship is carried out in a company or laboratory. During the internship the student must demonstrate:

his understanding of a broad field of basic sciences and his ability to analyze and synthesize them;

its ability to mobilize the resources of a specific scientific and technical field;

his mastery of engineering methods and tools: identification, modeling and resolution of problems, even unfamiliar and incompletely defined ones, the use of computer tools, analysis and design of systems;

its ability to design, implement, test and validate innovative solutions, methods, products, systems and services

its ability to carry out fundamental or applied research activities, to set up experimental devices, to be open to the practice of collaborative work;

ability to find, evaluate and use relevant information;

its ability to take into account the company's challenges: economic dimension, respect for quality, competitiveness and productivity, commercial requirements, economic intelligence;

its ability to take into account the issues of work relations, ethics, responsibility, safety and health in the workplace;

its capacity to integrate into professional life, to integrate into an organization, to lead it and to make it evolve: exercise of responsibility, team spirit, project management, communication with specialists as well as with non-specialists;

His/her ability to work in an international context: mastery of one or more foreign languages and associated cultural openness;

its ability to know itself, to evaluate itself, to manage its competences (in particular in a perspective of lifelong learning), to make its professional choices.

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- Viscoelasticity: The objective of this part is to deepen the modeling of viscoelastic behaviors already seen in the ECUE "Rheology 1" in order to introduce the generalized versions "series" and "parallel" of the Biot model. From a more "material" point of view, the notions of relaxation time spectra are introduced to account for the transformations classically encountered in polymers, as well as the concept of time-temperature equivalence.

 - plasticity: Present the basic plasticity models present in the finite element codes (isotropic and kinematic models). A link is made with the metallurgy course in order to highlight the microstructural events retained during the implementation of macroscopic models. In the same way, the course will be based on the rheology course and on the practical work on materials which have allowed to highlight the notion of threshold and work hardening. The models set up can be used in the projects oriented towards numerical simulation

 - damage : Present the various microscopic manifestations of damage on brittle and ductile materials.
Introduce a thermomechanical theory (Kachanov-Lemaitre) of damage allowing the construction of continuous models adapted to the type of material studied (brittle and ductile materials) as well as to the loading mode (creep, oligo-cyclic fatigue and large number of cycles) The models developed can be used in the option project.

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Description*: Project carried out in a research laboratory or in connection with an industrial problem, during which the student must, alone or in a group, appropriate the problem proposed by the research team, and use the modelling and calculation tools acquired during his/her training to solve it and propose a solution. The student must make a written and oral restitution of his approach and the results obtained.

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This course is an introduction to new design methods associated with additive manufacturing techniques, enabling you to produce a part on a 3D (polymer) printer, from its design on the computer (CAD) in relation to the capabilities of the process, the optimization of its geometry (topological optimization), the preparation and launch of manufacturing, and the finishing stages after printing (completion).

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This UE is applied to the "innovative project in mechanics". It is about giving the student the elements to simulate the creation of a company, from the product or the range of products developed in innovative project.

This EU is divided into :

course given by professional actors of the world of business creation

consultations given by professionals to accompany the students (groups of 3 students maximum) in the simulation of the creation of their company.

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This course gives a general introduction to 1) the physics and mechanics of divided media and 2) their modeling through discrete methods (DEM). The multiscale character of a divided material is discussed from the microscopic scale (contact interactions), to the macroscopic scale (structure scale). A phenomenological description of the macroscopic behavior as well as the microscopic properties are discussed for static, quasi-static and flowing states of granular media. Micro-mechanical models and scaling approaches based on dimensionless analysis, averaged quantities, stress transmissions and anisotropies are introduced. The influence of particle properties and contact interactions on the microstructure is also discussed. Discrete Element Methods (DEM), regular (Molecular Dynamics) and non-regular (Contact Dynamics) numerical approaches are presented. In particular, the Contact Dynamics method will be implemented on simple examples through the LMGC90 computational code.

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This teaching unit is common to both the CSIM and Biomechanics courses. It combines skills in mechanics of indeformable solids and imaging. It applies to biomechanics, robotics and other fields related to motion analysis, such as motion capture for video games. It includes a theoretical part of courses and practical work done in collaboration with the UFR STAPS.

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This course aims to prepare students for professional interviews by giving them the keys to value their past experiences.

This teaching is based on interview simulation games constructed on the basis of existing job offers.

Labor law deals with the analysis of the main rules of the employment contract and, in particular, with the employee's obligations, the employer's obligations and the termination of the employment relationship.

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Although natural composites have been used for thousands of years, the high technology of advanced composites has 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 in laminated composite materials using industrial calculation codes. To do so, a presentation of the different components of the composites of petrochemical or natural origin is made. Then the implementation processes are discussed. Finally, the theoretical and applied study of laminated composites is conducted. A practical application of these important theoretical notions is carried out on an industrial calculation code (ANSYS) during practical work and a project.

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This teaching unit is an extension of the "Advanced Numerical Simulation" module. It is a project module that focuses on the calculation aspect in the manner of what is done in design offices.

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Chapter 1: Large deformations and numerical processing

Chapter 2: Numerical solutions of stationary and unsteady problems (elastoplasticity, contact, friction)

Chapter 3: Numerical solutions in transient dynamics and modal analysis

Classes are supported by practical exercises, and practical work is carried out using ANSYS software.

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Field measurements are increasingly used in engineering, and more particularly in Mechanics. This module aims to present the basics of different imaging methods using image interpretation models of increasing complexity.

We begin by defining the principles of operation of imaging devices, then we present some tools of mathematical morphology in order to extract statistical information on quantities of geometric nature.

The methods of infrared thermography are then discussed through two models of interpretation: the calibration of the camera and the inversion of the thermal problem to access the heat sources.

The course ends with a comparison between experimental measurements and a numerical model by implementing a method of recalibration of finite element model.Theoretical courses are supported by practical sessions to implement the processing methods and illustrate the influence of the main parameters of analysis.

See full page

This teaching unit is of capital importance in the training. It is the practical application of all the knowledge and know-how acquired throughout the course, through the realization of a long-term scientific project.

See full page

See full page

This UE is applied to the "innovative project in mechanics". It is about giving the student the elements to simulate the creation of a company, from the product or the range of products developed in innovative project.

This EU is divided into :

course given by professional actors of the world of business creation

consultations given by professionals to accompany the students (groups of 3 students maximum) in the simulation of the creation of their company.

See full page

This course gives a general introduction to 1) the physics and mechanics of divided media and 2) their modeling through discrete methods (DEM). The multiscale character of a divided material is discussed from the microscopic scale (contact interactions), to the macroscopic scale (structure scale). A phenomenological description of the macroscopic behavior as well as the microscopic properties are discussed for static, quasi-static and flowing states of granular media. Micro-mechanical models and scaling approaches based on dimensionless analysis, averaged quantities, stress transmissions and anisotropies are introduced. The influence of particle properties and contact interactions on the microstructure is also discussed. Discrete Element Methods (DEM), regular (Molecular Dynamics) and non-regular (Contact Dynamics) numerical approaches are presented. In particular, the Contact Dynamics method will be implemented on simple examples through the LMGC90 computational code.

See full page

This teaching unit is common to both the CSIM and Biomechanics courses. It combines skills in mechanics of indeformable solids and imaging. It applies to biomechanics, robotics and other fields related to motion analysis, such as motion capture for video games. It includes a theoretical part of courses and practical work done in collaboration with the UFR STAPS.

See full page

This course aims to prepare students for professional interviews by giving them the keys to value their past experiences.

This teaching is based on interview simulation games constructed on the basis of existing job offers.

Labor law deals with the analysis of the main rules of the employment contract and, in particular, with the employee's obligations, the employer's obligations and the termination of the employment relationship.

See full page

Although natural composites have been used for thousands of years, the high technology of advanced composites has 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 in laminated composite materials using industrial calculation codes. To do so, a presentation of the different components of the composites of petrochemical or natural origin is made. Then the implementation processes are discussed. Finally, the theoretical and applied study of laminated composites is conducted. A practical application of these important theoretical notions is carried out on an industrial calculation code (ANSYS) during practical work and a project.

See full page

This teaching unit is an extension of the "Advanced Numerical Simulation" module. It is a project module that focuses on the calculation aspect in the manner of what is done in design offices.

See full page

Chapter 1: Large deformations and numerical processing

Chapter 2: Numerical solutions of stationary and unsteady problems (elastoplasticity, contact, friction)

Chapter 3: Numerical solutions in transient dynamics and modal analysis

Classes are supported by practical exercises, and practical work is carried out using ANSYS software.

See full page

Field measurements are increasingly used in engineering, and more particularly in Mechanics. This module aims to present the basics of different imaging methods using image interpretation models of increasing complexity.

We begin by defining the principles of operation of imaging devices, then we present some tools of mathematical morphology in order to extract statistical information on quantities of geometric nature.

The methods of infrared thermography are then discussed through two models of interpretation: the calibration of the camera and the inversion of the thermal problem to access the heat sources.

The course ends with a comparison between experimental measurements and a numerical model by implementing a method of recalibration of finite element model.Theoretical courses are supported by practical sessions to implement the processing methods and illustrate the influence of the main parameters of analysis.

See full page

This teaching unit is of capital importance in the training. It is the practical application of all the knowledge and know-how acquired throughout the course, through the realization of a long-term scientific project.

See full page

See full page

The aim 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 presentation is made within the framework of linear elasticity and small perturbations in statics. Starting with prerequisites in mathematics and solid mechanics, the principle of discretization is first addressed through the approaches of Ritz and Gallerkine for one-dimensional media. Next, the problem of numerical integration is approached using the Gauss method. Meshing and validation of computational models is then addressed in the study of surface modeling with 2D elements. Finally, these notions will be used to set up the complete formalism of the finite element method within the framework of bar and beam elements, then triangle-type elements. A practical application of these important theoretical notions is carried out on an industrial calculation code (ANSYS) during practical work and a project.

See full page

This course aims to prepare students for professional interviews by giving them the keys to value their past experiences.

This teaching is based on interview simulation games constructed on the basis of existing job offers.

See full page

This unit introduces students to:

- management in the company, by presenting the company as an economic and legal entity on the one hand and by approaching the strategic approach in its entirety on the other.

- marketing in the company, from market research to operational marketing. The marketing approach will be directly applied to the industrial creation project carried out by the student teams.

The course sessions will be complemented by a company visit, as well as by the methodological approach of concretecase studies.

See full page

See full page

This 42h course is divided in two parts (1/3, 2/3) in order to give the basic elements in heat transfer and fluid mechanics (3D). Fluids will be considered as continuous media. We will call a particle an element of infinitely small volume for a mathematical description but large enough compared to the molecules to be described by continuous functions. This course is an extension of the course on modeling elastic media in L3 and the course on fluid mechanics (1D).

See full page

This 42-hour course is divided into two identical parts that run in parallel. The first part concerns the study of vibration problems in discrete media and in 1D continuous media (string, beams). The second part concerns the use of variational formulations in order to reformulate the problems studied in L3 in RDM and 3D elasticity. We can then propose optimized approximate solutions. This part of the course allows to make a link between RDM, 3D elasticity and the second semester course of finite elements.

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At the beginning of this teaching unit, the group of students (4 maximum) has a set of documents among which we systematically find the Functional Product Specifications containing a validated principle solution. The group of students must then propose a critical analysis of the documents given and build an organization plan to achieve the realization of a technical file containing all the drawings of the product parts.

In this progression, the student must go through an inescapable step which consists in defining the product (CAD model) and arguing, through a set of calculation notes, the choice of the selected components and the dimensioning of the product parts.

At the final project review, in the presence of the client, the student group will present these results.

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This teaching unit is the continuation of the UE " Definition of industrial products ". Starting from the product definition file, the group of students (4 maximum) must create the functional prototype of the solution validated later. During the manufacturing of the prototype, the group of students must:

manage the subcontracting of parts to be produced and the purchase of standard components;

control the manufactured parts and the purchased components;

assemble the prototype from an assembly graph established by the students.

From the characterization of the functions accessible in the CDCF, the student group must qualify the functional prototype by implementing all the experimental means to verify each of the criteria and by proposing corrective solutions in case of non respect.

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This course enables students to apply the key stages of a mechanical design approach, from initial specifications to prototype qualification, to one or more concrete cases dealt with in previous years' industrial projects. It thus supports the year's industrial projects by mobilizing the same skills, but on one or more solved cases, unlike the current projects. It therefore requires the mobilization of various skills acquired in other courses, particularly non-technological ones, in the Master's or Bachelor's program (fundamental principle of dynamics, strength of materials, continuum mechanics, vibrations, finite element simulation) on one or more real mechanisms that students can manipulate and experiment with.

See full page

The internship is carried out in a company or laboratory. During the internship the student must demonstrate:

his understanding of a broad field of basic sciences and his ability to analyze and synthesize them;

its ability to mobilize the resources of a specific scientific and technical field;

his mastery of engineering methods and tools: identification, modeling and resolution of problems, even unfamiliar and incompletely defined ones, the use of computer tools, analysis and design of systems;

its ability to design, implement, test and validate innovative solutions, methods, products, systems and services

its ability to carry out fundamental or applied research activities, to set up experimental devices, to be open to the practice of collaborative work;

ability to find, evaluate and use relevant information;

its ability to take into account the company's challenges: economic dimension, respect for quality, competitiveness and productivity, commercial requirements, economic intelligence;

its ability to take into account the issues of work relations, ethics, responsibility, safety and health in the workplace;

its capacity to integrate into professional life, to integrate into an organization, to lead it and to make it evolve: exercise of responsibility, team spirit, project management, communication with specialists as well as with non-specialists;

His/her ability to work in an international context: mastery of one or more foreign languages and associated cultural openness;

its ability to know itself, to evaluate itself, to manage its competences (in particular in a perspective of lifelong learning), to make its professional choices.

See full page

This course is an introduction to new design methods associated with additive manufacturing techniques, enabling you to produce a part on a 3D (polymer) printer, from its design on the computer (CAD) in relation to the capabilities of the process, the optimization of its geometry (topological optimization), the preparation and launch of manufacturing, and the finishing stages after printing (completion).

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Product Design : Study of the fundamentals of industrial design. Search for solutions using sketches and creative methods around a chosen personal project. Modeling in plastiline of the project to be produced in CAD.
Graphic Design: Introduction to sketching for industrial design.
CAD: 3D volume and surface modeling with Onshape on the chosen project.

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This UE is applied to the "innovative project in mechanics". It is about giving the student the elements to simulate the creation of a company, from the product or the range of products developed in innovative project.

This EU is divided into :

course given by professional actors of the world of business creation

consultations given by professionals to accompany the students (groups of 3 students maximum) in the simulation of the creation of their company.

See full page

This course aims to prepare students for professional interviews by giving them the keys to value their past experiences.

This teaching is based on interview simulation games constructed on the basis of existing job offers.

Labor law deals with the analysis of the main rules of the employment contract and, in particular, with the employee's obligations, the employer's obligations and the termination of the employment relationship.

See full page

Although natural composites have been used for thousands of years, the high technology of advanced composites has 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 in laminated composite materials using industrial calculation codes. To do so, a presentation of the different components of the composites of petrochemical or natural origin is made. Then the implementation processes are discussed. Finally, the theoretical and applied study of laminated composites is conducted. A practical application of these important theoretical notions is carried out on an industrial calculation code (ANSYS) during practical work and a project.

See full page

The Product-Material-Process triptych is apprehended through visits to companies whose themes are

- welding (Cameron France);

high capacity machining and non-destructive testing (Cameron France);

the RIM process (Teens);

plastic injection (Cid Plastique);

water jet cutting (MP water jet)

the realization of profiles and their heat treatment (Profiles System)

3D printing (plastic/metal)

Each of these visits is prepared, within the university, by the professional in charge of the visit. These interventions end with case studies.

The professionals met during the interventions of this EU participate in the industrialization phase of the innovative product by bringing their technical expertise.

See full page

The objective of this module is to practice numerical simulation tools (finite element or mechanism simulation software) while insisting on their limits, through case studies on: HPP isotropic elasticity, modal analysis, mechanism simulation, topological optimization, thermal and thermomechanical analysis,...). In most of the examples treated, we will try to show the interest of experimentation, both to feed the models upstream and to validate them downstream.

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The objective of this course is to develop a new product. The idea or the new need is the initiative of the project group made up of 2 or 3 students maximum. This innovative project covers the different phases of a project from the statement of the need to the realization of the functional prototype (see the pre-industrialization of the product) through the analysis of the competition, the search for a solution in principle, the definition of the validated solutions as well as the writing of the claim of their patent when the technical solution is defined This innovative project is associated with 5 other teaching units:

CAD and prototyping which corresponds to the implementation of the digital model and the realization of the functional prototype;

graphic design in which the student elaborates the communication elements of this innovative project: packaging, poster, presentation video, first page of the website;

eco-design in which the student defines the "environmental value of his innovative product".

Product-Material-Process and Industrialization

business creation ;

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This teaching unit is common to the CDPI and Biomechanics courses. It lies at the heart of any industrial product design process, whether for healthcare or any other field. In this unit, various players from the socio-economic world will contribute their experience in the field.

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This teaching unit is linked to the innovative project. With the participation of a product designer, students must be able to introduce design very early on in the conception of the product.

The functional studies of the product's skin are done using foam models and/or 3D printed models. After validation, the manufacturing of the functional prototype is done using the means available in the mechanical department (conventional manufacturing, CN and 3D printing)

The prototype is validated during a project review called "functional prototype qualification".

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This teaching unit is linked to the innovative project. With the participation of an eco-design professional, students are able to :

Integrate eco-design in the design of products;

Optimize the environmental footprint of products ("product balance" software);

Limit the energy requirements of products;

Promote the company's responsible image;

Anticipate the environmental display.

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This teaching unit is linked to the innovative project. With the participation of a professional graphic designer, students are able to produce communication elements using the software studied (Photoshop, Gimp, Inskape, etc.).

Renderings include the creation of a logo, a poster, product packaging and a website for the simulated company.

A project review specific to this UE validates the proposed communication elements.

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This teaching unit aims to provide knowledge on the vocabulary and the main tools used in production departments in order to organize production and ensure the required level of quality, while respecting the constraints of costs and deadlines

See full page

This UE is applied to the "innovative project in mechanics". It is about giving the student the elements to simulate the creation of a company, from the product or the range of products developed in innovative project.

This EU is divided into :

course given by professional actors of the world of business creation

consultations given by professionals to accompany the students (groups of 3 students maximum) in the simulation of the creation of their company.

See full page

This course aims to prepare students for professional interviews by giving them the keys to value their past experiences.

This teaching is based on interview simulation games constructed on the basis of existing job offers.

Labor law deals with the analysis of the main rules of the employment contract and, in particular, with the employee's obligations, the employer's obligations and the termination of the employment relationship.

See full page

Although natural composites have been used for thousands of years, the high technology of advanced composites has 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 in laminated composite materials using industrial calculation codes. To do so, a presentation of the different components of the composites of petrochemical or natural origin is made. Then the implementation processes are discussed. Finally, the theoretical and applied study of laminated composites is conducted. A practical application of these important theoretical notions is carried out on an industrial calculation code (ANSYS) during practical work and a project.

See full page

The Product-Material-Process triptych is apprehended through visits to companies whose themes are

- welding (Cameron France);

high capacity machining and non-destructive testing (Cameron France);

the RIM process (Teens);

plastic injection (Cid Plastique);

water jet cutting (MP water jet)

the realization of profiles and their heat treatment (Profiles System)

3D printing (plastic/metal)

Each of these visits is prepared, within the university, by the professional in charge of the visit. These interventions end with case studies.

The professionals met during the interventions of this EU participate in the industrialization phase of the innovative product by bringing their technical expertise.

See full page

See full page

The objective of this module is to practice numerical simulation tools (finite element or mechanism simulation software) while insisting on their limits, through case studies on: HPP isotropic elasticity, modal analysis, mechanism simulation, topological optimization, thermal and thermomechanical analysis,...). In most of the examples treated, we will try to show the interest of experimentation, both to feed the models upstream and to validate them downstream.

See full page

See full page

This teaching unit is linked to the innovative project. With the participation of an eco-design professional, students are able to :

Integrate eco-design in the design of products;

Optimize the environmental footprint of products ("product balance" software);

Limit the energy requirements of products;

Promote the company's responsible image;

Anticipate the environmental display.

See full page

This teaching unit is linked to the innovative project. With the participation of a professional graphic designer, students are able to produce communication elements using the software studied (Photoshop, Gimp, Inskape, etc.).

Renderings include the creation of a logo, a poster, product packaging and a website for the simulated company.

A project review specific to this UE validates the proposed communication elements.

See full page

This teaching unit aims to provide knowledge on the vocabulary and the main tools used in production departments in order to organize production and ensure the required level of quality, while respecting the constraints of costs and deadlines

See full page

The aim 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 presentation is made within the framework of linear elasticity and small perturbations in statics. Starting with prerequisites in mathematics and solid mechanics, the principle of discretization is first addressed through the approaches of Ritz and Gallerkine for one-dimensional media. Next, the problem of numerical integration is approached using the Gauss method. Meshing and validation of computational models is then addressed in the study of surface modeling with 2D elements. Finally, these notions will be used to set up the complete formalism of the finite element method within the framework of bar and beam elements, then triangle-type elements. A practical application of these important theoretical notions is carried out on an industrial calculation code (ANSYS) during practical work and a project.

See full page

This course aims to prepare students for professional interviews by giving them the keys to value their past experiences.

This teaching is based on interview simulation games constructed on the basis of existing job offers.

See full page

This unit introduces students to:

- management in the company, by presenting the company as an economic and legal entity on the one hand and by approaching the strategic approach in its entirety on the other.

- marketing in the company, from market research to operational marketing. The marketing approach will be directly applied to the industrial creation project carried out by the student teams.

The course sessions will be complemented by a company visit, as well as by the methodological approach of concretecase studies.

See full page

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This teaching unit is the first one related to the "bio" part of the biomechanics course. It is intended for students with a mechanical engineering background. Its mission is to give students the basic notions of health and biology that will allow them to better understand future teaching and projects in biomechanics.

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This 42h course is divided in two parts (1/3, 2/3) in order to give the basic elements in heat transfer and fluid mechanics (3D). Fluids will be considered as continuous media. We will call a particle an element of infinitely small volume for a mathematical description but large enough compared to the molecules to be described by continuous functions. This course is an extension of the course on modeling elastic media in L3 and the course on fluid mechanics (1D).

See full page

This 42-hour course is divided into two identical parts that run in parallel. The first part concerns the study of vibration problems in discrete media and in 1D continuous media (string, beams). The second part concerns the use of variational formulations in order to reformulate the problems studied in L3 in RDM and 3D elasticity. We can then propose optimized approximate solutions. This part of the course allows to make a link between RDM, 3D elasticity and the second semester course of finite elements.

See full page

This course enables students to apply the key stages of a mechanical design approach, from initial specifications to prototype qualification, to one or more concrete cases dealt with in previous years' industrial projects. It thus supports the year's industrial projects by mobilizing the same skills, but on one or more solved cases, unlike the current projects. It therefore requires the mobilization of various skills acquired in other courses, particularly non-technological ones, in the Master's or Bachelor's program (fundamental principle of dynamics, strength of materials, continuum mechanics, vibrations, finite element simulation) on one or more real mechanisms that students can manipulate and experiment with.

See full page

This teaching unit is only offered in the biomechanics course. It is a project module which can be numerical or experimental, but which focuses on biomechanical aspects.

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The internship is carried out in a company or laboratory. During the internship the student must demonstrate:

his understanding of a broad field of basic sciences and his ability to analyze and synthesize them;

its ability to mobilize the resources of a specific scientific and technical field;

his mastery of engineering methods and tools: identification, modeling and resolution of problems, even unfamiliar and incompletely defined ones, the use of computer tools, analysis and design of systems;

its ability to design, implement, test and validate innovative solutions, methods, products, systems and services

its ability to carry out fundamental or applied research activities, to set up experimental devices, to be open to the practice of collaborative work;

ability to find, evaluate and use relevant information;

its ability to take into account the company's challenges: economic dimension, respect for quality, competitiveness and productivity, commercial requirements, economic intelligence;

its ability to take into account the issues of work relations, ethics, responsibility, safety and health in the workplace;

its capacity to integrate into professional life, to integrate into an organization, to lead it and to make it evolve: exercise of responsibility, team spirit, project management, communication with specialists as well as with non-specialists;

His/her ability to work in an international context: mastery of one or more foreign languages and associated cultural openness;

its ability to know itself, to evaluate itself, to manage its competences (in particular in a perspective of lifelong learning), to make its professional choices.

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This course is an introduction to new design methods associated with additive manufacturing techniques, enabling you to produce a part on a 3D (polymer) printer, from its design on the computer (CAD) in relation to the capabilities of the process, the optimization of its geometry (topological optimization), the preparation and launch of manufacturing, and the finishing stages after printing (completion).

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Product Design : Study of the fundamentals of industrial design. Search for solutions using sketches and creative methods around a chosen personal project. Modeling in plastiline of the project to be produced in CAD.
Graphic Design: Introduction to sketching for industrial design.
CAD: 3D volume and surface modeling with Onshape on the chosen project.

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Field measurements are increasingly used in engineering, and more particularly in Mechanics. This module aims to present the basics of different imaging methods using image interpretation models of increasing complexity.

We begin by defining the principles of operation of imaging devices, then we present some tools of mathematical morphology in order to extract statistical information on quantities of geometric nature.

The methods of infrared thermography are then discussed through two models of interpretation: the calibration of the camera and the inversion of the thermal problem to access the heat sources.

The course ends with a comparison between experimental measurements and a numerical model by implementing a method of recalibration of finite element model.Theoretical courses are supported by practical sessions to implement the processing methods and illustrate the influence of the main parameters of analysis.

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This teaching unit is of capital importance in the training. It is the practical application of all the knowledge and know-how acquired throughout the course, through the realization of a long-term scientific project.

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This teaching unit is common to the CDPI and Biomechanics courses. It lies at the heart of any industrial product design process, whether for healthcare or any other field. In this unit, various players from the socio-economic world will contribute their experience in the field.

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Biomechanics is an interdisciplinary field that has developed greatly in recent years. It covers many fields of application such as the analysis of sports movement, accidentology, traumatology, orthopedics, biocompatibility of osteoarticular prostheses, functional rehabilitation, assistance in the diagnosis and management of respiratory and cardiovascular diseases, tissue growth and remodeling, tissue engineering, etc.

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This UE is applied to the "innovative project in mechanics". It is about giving the student the elements to simulate the creation of a company, from the product or the range of products developed in innovative project.

This EU is divided into :

course given by professional actors of the world of business creation

consultations given by professionals to accompany the students (groups of 3 students maximum) in the simulation of the creation of their company.

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This module provides the basic notions to understand the different mechanical behaviors of materials and how they can be studied from experiments or models. The module will start with a basic review of continuum mechanics under the Small Perturbation Hypothesis (SPH). The different classes of mechanical behavior of materials will be studied (Elasticity, Visco-elasticity, Plasticity,...) as well as the different mechanical moduli (Young, compressibility, shear, Poisson's ratio,...), for all types of materials (metallic, composites, polymers,...). After studying the links between the different microstructures and the mechanical properties, the main tests used to characterize the mechanical behavior of materials will be explained. The basic notions of anisotropic elasticity will also be presented (anisotropic elasticity tensors, orthotropy, transverse isotropy). The basic rheological models, commonly used to model these behaviors, will then be presented and it will be shown how their parameters can be identified. The module will end with a presentation of the dynamic analysis methods (DMA)

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This teaching unit is common to both the CSIM and Biomechanics courses. It combines skills in mechanics of indeformable solids and imaging. It applies to biomechanics, robotics and other fields related to motion analysis, such as motion capture for video games. It includes a theoretical part of courses and practical work done in collaboration with the UFR STAPS.

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This course aims to prepare students for professional interviews by giving them the keys to value their past experiences.

This teaching is based on interview simulation games constructed on the basis of existing job offers.

Labor law deals with the analysis of the main rules of the employment contract and, in particular, with the employee's obligations, the employer's obligations and the termination of the employment relationship.

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This teaching unit is an extension of the "Advanced Numerical Simulation" module. It is a project module that focuses on the calculation aspect in the manner of what is done in design offices.

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Chapter 1: Large deformations and numerical processing

Chapter 2: Numerical solutions of stationary and unsteady problems (elastoplasticity, contact, friction)

Chapter 3: Numerical solutions in transient dynamics and modal analysis

Classes are supported by practical exercises, and practical work is carried out using ANSYS software.

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Biomechanics is essentially based on the various mechanics theories (solid mechanics, fluid mechanics, etc.) applied to the study of biological systems. Since the Biomechanics course is open to a public that is not necessarily an expert in mechanics (doctors, orthopedists, physiotherapists, etc.), it is necessary to introduce to this public the basic notions of rigid solid mechanics. Indeed, the human body can be considered, to a first approximation, as a set of body segments (foot, leg, thigh, hip, bust, etc.) articulated together. These segments can be modeled by rigid solids in order to study aspects related to the static equilibrium of the body, such as its movements, shocks and traumatology.  

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This UE is applied to the "innovative project in mechanics". It is about giving the student the elements to simulate the creation of a company, from the product or the range of products developed in innovative project.

This EU is divided into :

course given by professional actors of the world of business creation

consultations given by professionals to accompany the students (groups of 3 students maximum) in the simulation of the creation of their company.

See full page

This module provides the basic notions to understand the different mechanical behaviors of materials and how they can be studied from experiments or models. The module will start with a basic review of continuum mechanics under the Small Perturbation Hypothesis (SPH). The different classes of mechanical behavior of materials will be studied (Elasticity, Visco-elasticity, Plasticity,...) as well as the different mechanical moduli (Young, compressibility, shear, Poisson's ratio,...), for all types of materials (metallic, composites, polymers,...). After studying the links between the different microstructures and the mechanical properties, the main tests used to characterize the mechanical behavior of materials will be explained. The basic notions of anisotropic elasticity will also be presented (anisotropic elasticity tensors, orthotropy, transverse isotropy). The basic rheological models, commonly used to model these behaviors, will then be presented and it will be shown how their parameters can be identified. The module will end with a presentation of the dynamic analysis methods (DMA)

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This teaching unit is common to both the CSIM and Biomechanics courses. It combines skills in mechanics of indeformable solids and imaging. It applies to biomechanics, robotics and other fields related to motion analysis, such as motion capture for video games. It includes a theoretical part of courses and practical work done in collaboration with the UFR STAPS.

See full page

This course aims to prepare students for professional interviews by giving them the keys to value their past experiences.

This teaching is based on interview simulation games constructed on the basis of existing job offers.

Labor law deals with the analysis of the main rules of the employment contract and, in particular, with the employee's obligations, the employer's obligations and the termination of the employment relationship.

See full page

Biomechanics is an interdisciplinary field that has developed greatly in recent years. It covers many fields of application such as the analysis of sports movement, accidentology, traumatology, orthopedics, biocompatibility of osteoarticular prostheses, functional rehabilitation, assistance in the diagnosis and management of respiratory and cardiovascular diseases, tissue growth and remodeling, tissue engineering, etc.

See full page

This teaching unit is common to the CDPI and Biomechanics courses. It lies at the heart of any industrial product design process, whether for healthcare or any other field. In this unit, various players from the socio-economic world will contribute their experience in the field.

See full page

This teaching unit is an extension of the "Advanced Numerical Simulation" module. It is a project module that focuses on the calculation aspect in the manner of what is done in design offices.

See full page

Chapter 1: Large deformations and numerical processing

Chapter 2: Numerical solutions of stationary and unsteady problems (elastoplasticity, contact, friction)

Chapter 3: Numerical solutions in transient dynamics and modal analysis

Classes are supported by practical exercises, and practical work is carried out using ANSYS software.

See full page

Field measurements are increasingly used in engineering, and more particularly in Mechanics. This module aims to present the basics of different imaging methods using image interpretation models of increasing complexity.

We begin by defining the principles of operation of imaging devices, then we present some tools of mathematical morphology in order to extract statistical information on quantities of geometric nature.

The methods of infrared thermography are then discussed through two models of interpretation: the calibration of the camera and the inversion of the thermal problem to access the heat sources.

The course ends with a comparison between experimental measurements and a numerical model by implementing a method of recalibration of finite element model.Theoretical courses are supported by practical sessions to implement the processing methods and illustrate the influence of the main parameters of analysis.

See full page

This teaching unit is of capital importance in the training. It is the practical application of all the knowledge and know-how acquired throughout the course, through the realization of a long-term scientific project.

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The aim 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 presentation is made within the framework of linear elasticity and small perturbations in statics. Starting with prerequisites in mathematics and solid mechanics, the principle of discretization is first addressed through the approaches of Ritz and Gallerkine for one-dimensional media. Next, the problem of numerical integration is approached using the Gauss method. Meshing and validation of computational models is then addressed in the study of surface modeling with 2D elements. Finally, these notions will be used to set up the complete formalism of the finite element method within the framework of bar and beam elements, then triangle-type elements. A practical application of these important theoretical notions is carried out on an industrial calculation code (ANSYS) during practical work and a project.

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The first part of this course concerns complements of probability theory: conditional expectation, Gaussian vectors. The second part presents one of the main families of stochastic processes in discrete time : Markov chains. These are sequences of dependent random variables, whose dependence relation is relatively simple since each variable depends only on the previous one. It is also a very powerful modeling tool. We will study the main properties of these processes, as well as their behavior in long time and the estimation of their parameters.

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The first part of this course concerns complements of probability theory: conditional expectation, Gaussian vectors. The second part presents one of the main families of stochastic processes in discrete time : Markov chains. These are sequences of dependent random variables, whose dependence relation is relatively simple since each variable depends only on the previous one. It is also a very powerful modeling tool. We will study the main properties of these processes, as well as their behavior in long time and the estimation of their parameters.

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This 42h course is divided in two parts (1/3, 2/3) in order to give the basic elements in heat transfer and fluid mechanics (3D). Fluids will be considered as continuous media. We will call a particle an element of infinitely small volume for a mathematical description but large enough compared to the molecules to be described by continuous functions. This course is an extension of the course on modeling elastic media in L3 and the course on fluid mechanics (1D).

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The course aims to provide a general introduction to cellular and molecular biology and to put into context the use of modern physics, through its quantitative methods and approaches, to describe biological systems and their complexity from the molecular to the cellular and tissue scales.

A fundamental point addressed is also the quantification of phenomena, their physical interpretation and their physico-mathematical modeling. The course opens to the philosophy and to the set of themes of this master's course centered on the study of the physical principles of the organization and the dynamics of the living and complex matter.

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