Training structure
Faculty of Science
Program
English S5
2 creditsNumerical calculation in mechanics Project
5 creditsScientific computing (UE Polytech' MI)
5 creditsScientific computing
Differential Calculus and Differential Equations
6 creditsStrength of materials
5 creditsFluid mechanics
5 creditsRheology of materials
3 credits
Hydrodynamics
3 credits27hMathematical Modeling in Mechanics (POLYTECH)
5 creditsNumerical analysis of differential equations
5 creditsEnglish for mechanical engineering
3 creditsStructure and design (POLYTECH)
5 creditsR&D and innovation seminar (framed teaching)
2 creditsDeformable solid mechanics
5 creditsTutored mechanical project
5 credits
Numerical calculation in mechanics Project
Study level
BAC +3
ECTS
5 credits
Component
Faculty of Science
The aim of this course is to provide an introduction to numerical tools for solving partial differential equations from various fields of engineering. The spectral method applied to the equation of heat diffusion in a bar will be covered, as well as the development of codes based on this technique. In particular, students will be asked to implement this method in Python, integrating the basics of this language and versioning tools. Documents submitted by students will be produced using Latex word processing.
Scientific computing (UE Polytech' MI)
ECTS
5 credits
Component
Faculty of Science
Differential Calculus and Differential Equations
ECTS
6 credits
Component
Faculty of Science
In the first part: deepen the basic notions of differential calculus seen in L2.
In the second part: introduce the qualitative study of differential equations.
Strength of materials
Study level
BAC +3
ECTS
5 credits
Component
Faculty of Science
Resistance of materials (RoM) is a special discipline of continuum mechanics, used to calculate stresses and strains in slender structures made of different materials (machinery, mechanical engineering, building and civil engineering). It involves 1D static modeling of a deformable solid, assimilated to a beam linked to a frame and subjected to external mechanical loads.
RoM allows us to reduce the study of a structure's overall behavior (the relationship between stresses - forces or moments - and displacements) to that of the local behavior of the materials making it up(the relationship between stresses and strains). Mechanical stresses can be seen as " cohesive forces " in matter. The deformations of a physical object can be observed by a variation in its dimensions or overall shape.
Fluid mechanics
Study level
BAC +3
ECTS
5 credits
Component
Faculty of Science
The aim of this first Fluid Mechanics module is to provide a basic understanding of the behavior of industrial fluids (air, water, hydraulic fluids), with a view to dimensioning simple systems involving static or dynamic fluids (flow rates, pressure, velocity, pressure drops, etc.). Emphasis is placed on the study and design of hydraulic installations.
Rheology of materials
Study level
BAC +3
ECTS
3 credits
Component
Faculty of Science
Rheology is the study of material deformation and flow under applied mechanical stress. In the field of materials, this science particularly concerns the following areas:
- Viscoelasticity
- Plasticity
- Viscoplasticity
- Non-Newtonian fluids
In practice, rheology is used to characterize the macroscopic mechanical properties of materials whose behavior escapes the classical theories of elastic solids and Newtonian fluids (with constant viscosity). Such materials can thus be considered as having an intermediate behavior between solid and fluid, between elastic and viscous.
Hydrodynamics
Study level
BAC +3
ECTS
3 credits
Component
Faculty of Science
Hourly volume
27h
The aim of this course is to introduce the basics of physical hydrodynamics. The kinematic aspects are dealt with first: Euler and Lagrange formalism, analysis of the motion of an element of fluid volume, introduction of current and potential velocity functions, and applications to different types of flow. In the following section on fluid dynamics, we establish Euler's equation and Bernoulli's relation for the flow of perfect fluids, followed by the Navier-Stokes equation describing the flow of viscous Newtonian fluids. This will lead to the definition of the stress tensor and the Reynolds number, enabling us to deduce whether a flow is laminar or turbulent. The course concludes with an introduction to the mechanics of deformable solids : displacement field, expansion and deformation tensors.
Mathematical Modeling in Mechanics (POLYTECH)
Study level
BAC +3
ECTS
5 credits
Component
Faculty of Science
The course links scientific computing and variational methods for mechanics and is designed to model simple physical equations and implement numerical methods to solve these equations.
Numerical analysis of differential equations
ECTS
5 credits
Component
Faculty of Science
Acquire basic notions of numerical methods for differential equations
English for mechanical engineering
Study level
BAC +3
ECTS
3 credits
Component
Faculty of Science
TD language courses aimed at training the 5 language skills;
Oral comprehension & expression
Written comprehension & expression
Oral interaction
Structure and design (POLYTECH)
Study level
BAC +3
ECTS
5 credits
Component
Faculty of Science
- read a technical drawing of medium difficulty
- identify standard mechanical components on a drawing
- identify the operation of a mechanical system of moderate difficulty from an overall drawing
- draw a part in several views, following the rules of projection
- identify and draw cylinder-plane, cylinder-cylinder, plane-cone, cylinder-cone intersections
- draw cross-sections and sectional views
- extract a part from an overall drawing of moderate difficulty
- use of basic Solidwork functions (part mode, assembly and drawing)
R&D and innovation seminar (framed teaching)
Study level
BAC +3
ECTS
2 credits
Component
Faculty of Science
Research & Development (R&D) is both the product of teamwork and individual talent, all at the service of innovation (applied research) and knowledge (fundamental research). The themes are diverse and varied, but a certain methodology is required to tackle any R&D problem.
Deformable solid mechanics
Study level
BAC +3
ECTS
5 credits
Component
Faculty of Science
The aim of this course is to model continuous solid media, initially restricting ourselves to elastostatics under the assumption of small perturbations. The fundamental principle of statics is applied to deformable solids. The following concepts are introduced: tensors and tensor fields, algebra and tensor analysis, boundary problems, fundamental principle of statics, virtual power principle. Techniques for analytically solving classical problems and energy approaches are also covered. This course is fundamental to the training of students in mechanics, whether they are going into design or R&D.
Tutored mechanical project
Study level
BAC +3
ECTS
5 credits
Component
Faculty of Science
Project assigned to a group of two to three students, supervised by a tutor. Weekly meetings to monitor progress and help students write a report and give an oral presentation. Work is spread over a semester, culminating in a report and oral presentation.