M2 - Calculations and Simulations in Mechanical Engineering

This UE is applied to the "innovative project in mechanics". The aim is to give the student the elements needed to simulate the creation of a company, based on the product or range of products developed as part of the innovative project.

This UE is divided into :

courses taught by professionals from the world of business creation

consultations with professionals to help students (groups of up to 3) simulate setting up their own business.

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This course gives a general introduction to 1) the physics and mechanics of divided media and 2) their modeling using discrete methods (DEM). The multi-scale character of a divided material is discussed from the microscopic scale (contact interactions) to the macroscopic scale (structure scale). A phenomenological description of macroscopic behavior and microscopic properties are discussed for static, quasi-static and flowing states of granular media. Micromechanical models and change-of-scale approaches based on adimensional analyses, averaged quantities, stress transmissions and the existence of 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 using the LMGC90 computational code.

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This teaching unit is common to both the CSIM and Biomechanics programs. It combines skills in the mechanics of indeformable solids and imaging. It applies equally to biomechanics, robotics and other fields related to motion analysis, such as motion capture for video games. It comprises a theoretical part, consisting of lectures and practical sessions, and a practical part, carried out in conjunction with the UFR STAPS.

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The aim of this course is to prepare students for professional interviews by giving them the keys to making the most of their past experience.

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, including the employee's obligations, the employer's obligations and the termination of the employment relationship.

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Although natural composite materials have been used for thousands of years, the high technology of advanced composites has only been used in the aerospace industry for fifty years. Applications are increasingly varied: from aircraft structures and hydrogen tanks to tennis rackets and boats. The aim of this course is to analyze and design laminated composite structures using industrial calculation codes. To achieve this, the different components of petrochemical and natural composites are presented. Next, the implementation processes are discussed. Finally, a theoretical and applied study of laminated composites is carried out. 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-based module that focuses on the calculation aspect, in the same way as 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, particularly in Mechanics. The aim of this module is to introduce the basics of different imaging methods, using image interpretation models of increasing complexity.

We begin by defining the operating principles of imaging devices, then introduce some mathematical morphology tools for extracting statistical information about quantities of a geometric nature.

We then look at infrared thermography methods through two interpretation models: camera calibration and inversion of the thermal problem to access heat sources.

Finally, Image Correlation methods are presented, with emphasis on the various underlying interpretation models (camera, transformation, conservation of optical flow, likelihood criterion).The course concludes with a comparison between experimental measurements and a numerical model, using a finite-element model recalibration method.Theoretical lectures are backed up by practical work sessions to apply processing methods and illustrate the influence of the main analysis parameters.

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This teaching unit is of paramount importance in the training program. It involves putting into practice all the knowledge and skills acquired throughout the curriculum, by carrying out a long-term scientific project.

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