M2 - Calculations and Simulations in Mechanical Engineering

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 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.

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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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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.

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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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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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