This course presents the fundamental concepts of the Mechanics of deformable continuums within the simplified framework of slender structures. Introducing these concepts in a limited geometric framework enables us to get to applications quickly, to deal with a wide range of phenomena, and to use a light mathematical formalism.
The approach is similar to the one followed in more specialized courses, in particular to the MEC431 one in the case of three-dimensional structures: we will cover the notions of internal forces and external forces, equilibrium equations, boundary conditions, strain, constitutive laws and boundary problems.
We will next get interested in the resolution of mathematical problems obtained and in the highlighting of the related physical phenomena, in statics and dynamics, in both small and large displacements.
We will study the problems of statics of wires, rods, beams or elastic arches which will enable us to deal with the classical problems on the strength of materials, but also more advanced problems such as buckling instabilities or boundary layers.
Finally, we will introduce the variational approach, offering both a different viewpoint of the physical laws governing the mechanics of structures and that provides mathematical and numerical tools for solving equations. This will enable us in particular to get fundamental energy proprieties, define stability concepts and provide an introduction to the finite element method.
Course language: French
- Teaching coordinator: Audoly Basile
- Teaching coordinator: Bellon Ludovic
- Teaching coordinator: Bleyer Jérémy
- Teaching coordinator: Feld Nicolas
- Teaching coordinator: Kannan Vignesh
- Teaching coordinator: Reyssat Etienne
- Teaching coordinator: Roman Benoît