The language in which the classes are taugh is indicated in parenthesis (EN for English and FR for French).
Some teaching material (corrected exercises, notes, presentations) is rendered available online.
This course has been created for the summer school on theoretical mechanics with Pr. Nicolas Auffray. It is intended at presenting the basic tools of group theory that are useful for the mechanician. This course deals with the concepts of symmetry groups and groups of transformations. It is applied to predict equivalent macroscopic behavior of architectured materials but also instabilities in materials and structures. Indeed, an intricate link exists between instabilities and symmetries as bifurcations are generically symmetry breaking.
The class shows practical examples of how to predict the generic shapes of a tensor using group theory and representation theory.
This course provides an introduction to the mathematical modeling of solids and deformable structures. The concepts of tensor calculations are introduced and then applied to strain and stress tensor calculations. The usual mechanical behavior laws are presented, with an emphasis on anisotropic linear elasticity. Displacement and stress based resolution methods are presented with their simplifications in the case of plane strain or plane stress problems. Practical exercices comprise analysis of a brazilian test on cylindrical mortar samples.
I have been teaching this class for various types of students (roboticians, geomechanicians, civil engineers and mechanicians) and have adapted its content to the pedagogical objectives of each formation.
The aim of the Strength of Materials course is to study the strength and deformation of construction elements (drive shafts, buildings, bridges, etc.) in order to determine or verify the choice of materials, shapes and dimensions. In the first part, we look at the approach used to establish the equations of beam theory. In the second part, we apply this theory to simple case studies. A last part concerns energy methods.
I have taught this class as an introductory class to first year engineer students and as a reminder to master 2 students.
This class is built as a general culture class on great engineering buildings such as tunnels, bridges and dams. The main characteristics and classifications for these types of constructions are presented along with the building regulations in Europe. Then the most famous constructions in the world are reviewed. A professionnal from the engineering office Setec comes for a 2h seminar and the class ends with a wooden stick bridge contest based on famous bridges. The aim of the project was to study in detail one of the world most famous bridge that was not presented in class, create a wooden mockup and a numerical representation in order to study its main mechanical characteristics. The bridges are then tested in beding.