Teacher(s)
Language
English
> French-friendly
> French-friendly
Main themes
Composite materials, especially fiber-reinforced ones, are increasingly used in numerous industrial sectors (e.g., aerospace, automotive, sporting equipment) where the technological advances require combined properties that no classical homogeneous material has. The objective of this course is to introduce the students to the methods of analysis and computation which enable the design of structures or products made of composite materials. This is why the course will develop micro-mechanically based approaches, anisotropic elasticity, the theory of laminates, etc.
Learning outcomes
At the end of this learning unit, the student is able to : | |
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In consideration of the reference table AA of the program "Masters degree in Mechanical Engineering", this course contributes to the development, to the acquisition and to the evaluation of the following experiences of learning:
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Content
1. Composite materials: types, properties, applications, fibers, matrices, forming processes.
2. Anisotropic elasticity. Différent classes of material symmetries.
3. Behaviour of an orthotropic ply. Engineering and apparent properties. Simple rules of mixture
4. Multiscale approach and homogenization. General results. Eshelby's solution. Mean-field models (Mori-Tanaka, self-consistent, etc.). Applications to various types of composites.
5. Classical laminate theory: constitutive equations, simple calculation methods.
6. Damage models and failure criteria. At the ply level. At the laminate level. Interlaminar stresses and edge effects.
2. Anisotropic elasticity. Différent classes of material symmetries.
3. Behaviour of an orthotropic ply. Engineering and apparent properties. Simple rules of mixture
4. Multiscale approach and homogenization. General results. Eshelby's solution. Mean-field models (Mori-Tanaka, self-consistent, etc.). Applications to various types of composites.
5. Classical laminate theory: constitutive equations, simple calculation methods.
6. Damage models and failure criteria. At the ply level. At the laminate level. Interlaminar stresses and edge effects.
Teaching methods
-Project (e.g., heterogeneous microstructure composite laminate) using (semi)analytical models and a finite element numerical simulation software, in order to master various models and methods and compare their predictions. A report will be written.
-In the classroom or at home: solve several relatively simple problems enabling to learn the theoretical concepts.
-In the classroom or at home: solve several relatively simple problems enabling to learn the theoretical concepts.
Evaluation methods
Written exam: 50%. Project: 50%.
Online resources
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