# Linear Elasticity

## In brief

• Teaching language : French
• Teaching method : En présence
• Code : N5EM05B

## Objectives

The aim of the course is to propose a short introduction to linear elasticity. The student must become familiar with the use of stress and strain tensors. The resolution of plane elasticity problems by Airy function is presented and stress field solutions of simple geometries are established (bending of a beam, torsion of a circular bar, plate with a hole, cylindrical container under pressure,  gravity dam…).

## Description

1. Infinitesimal strain.
2. Stress tensor.
3. Constitutive law of linear elasticity of an isotropic homogeneous media (Hooke law).
4. Displacement and stress formulations : Navier/Lamé and Beltrami-Michell equations.
5. Plane elasticity.

## Targeted skills

- Be able to calculate, measure and analyze a deformation.
- Be able to calculate, measure and analyze a stress.
- Be able to determine maximum values of normal and tangential stress.
- Be able to address an elasticity problem with stress or displacement formulation.
- Be able to find the solutions of plane elasticity with Airy complex or real function.

### Session 1 ou session unique - Contrôle des connaissances

ModalitéNatureCoefficientRemarques
CC (contrôle continu) Oral/Ecrit50%Ex-Elasticité linéaire
CC (contrôle continu) Bureau d'Etudes25%BE-Elasticité linéaire
CC (contrôle continu) Oral/Ecrit12.5%TP1-Elasticité linéaire
CC (contrôle continu) Oral/Ecrit12.5%TP2-Elasticité linéaire

### Session 2 - Contrôle des connaissances

ModalitéNatureCoefficientRemarques
CC (contrôle continu) Oral/Ecrit50%Ex-Elasticité linéaire
CC (contrôle continu) Bureau d'Etudes25%BE-Elasticité linéaire
CC (contrôle continu) Oral/Ecrit12.5%TP1-Elasticité linéaire
CC (contrôle continu) Oral/Ecrit12.5%TP2-Elasticité linéaire

## Places

• Toulouse

### Contact

The National Institute of Electrical engineering, Electronics, Computer science,Fluid mechanics & Telecommunications and Networks

2, rue Charles Camichel - BP 7122
31071 Toulouse Cedex 7, France

+33 (0)5 34 32 20 00