Continuum Mechanics (05_XCMAT)
- Coefficient : 1.5
- Hourly Volume: 80.0h (including 36.0h supervised)
- CTD : 36h supervised (and 6h unsupervised)
- Out-of-schedule personal work : 38h
AATs Lists
Description
This course is an introduction to continuum mechanics and, more generally, to mechanical modelling. The course requires a basic knowledge of vector algebra. A brief review of these notions and an introduction to tensor algebra and tensor analysis are given at the very beginning in order to provide the mathematical tools needed for the rest of the course. This course begins by presenting the fundamental concepts needed to follow more advanced courses in fluid and solid mechanics. It then focuses on the study of the equilibrium of deformable solids in linear elasticity under the hypothesis of infinitesimal transformations. It thus provides, on the one hand, the basic tools necessary for the design of mechanical systems, and on the other hand, the basic theory for the future construction of approximations, which will make it possible to carry out numerical simulation in mechanics.
Learning Outcomes AAv (AAv)
At the end of this course, the student should be able to
AAv1 [heures: 40, B3, C4] : By the end of the semester, S5 students should be able to characterise a material and analyse its elementary mechanical behaviour.
AAv2 [heures: 40, B3, C4] : By the end of the semester, S5 students should be able to formulate the fundamental laws of continuum mechanics applied to elastic materials.
Assessment methods
Continuous assessment
Key Words
Continuous deformable media, Behavioural relationship, Boundary problem, Balance laws, Stresses and deformations, Resistance criteria
Prerequisites
Vector analysis. Mechanics of the undeformable
Resources
- Mécanique, P. Germain, 1985, Ecole Polytechnique, volumes 1 & 2.
- Mécanique des milieux continus: cours et exercices corrigés, J. Coirier, C. Nadot-Martin, S. Liviu, 2013, Dunod.
- Exercices corrigés de mécanique des milieux continus, H. Dumontet, F. Léné, P. Muller, N. Turbé, G. Duvaut. Paris, Dunod, 1998.