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Elasticity and Plasticity

2MAB1 Elasticity and Plasticity Materials and Mechanics - Apprenticeship S7
Lessons : 15 h TD : 15 h TP : 15 h Project : 0 h Total : 45 h
Co-ordinator : Antoine GUEYDAN
Prerequisite
- Notions of mechanical behavior (field of elasticity and homogeneous plasticity)
- Matrix calculation
- Transformation of stresses and strains
- Tensor concept
Course Objectives
- Understand and use the different laws of 2D and 3D behavior
- Predict the mechanical deformation of a material by selecting the appropriate laws and criteria.
- Associate the numerical approach with the experimental tests necessary for the definition of the mechanical behavior
Syllabus
- Back to the stress tensor
- Definition of elastoplasticity
- Criteria of plasticity
- Work hardening
- Plastic flow
Practical work (TD or TP)
The applications are realized in the form of tutorials and practical work. Each part of the course is treated in the tutorials. The practical exercises allow to control the experimental part of the course and to introduce the numerical computations for simple cases.
TP1: Standard tensile test - Hardening of alloys - Work hardening laws
TP2: Experimental determination of the yield domain boundary of a stainless steel
TP3: Determination of the elastic behavior of a composite material
TP4: Treatment of the main stress state using the Mohr circle
Acquired skills
- Mathematical tools applied to mechanics: Diagonalization, use of the Mohr circle, decomposition of a tensor, transfer matrix
- Most met matrices of flexibility and rigidity
- Constitutive laws in elasticity and hardening, criteria of plasticity of an isotropic material
- Kinematic and isotropic hardening
- Incremental plasticity
Bibliography
Non renseigné

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