Software tools for mechanics - Advanced

Theoretical and software bases of the finite element method (Software tools for mechanics - Bases course)

This course completes the Software tools for mechanics - Basics course. Its objective is to bring the student to master the finite element method to solve most of the mechanical problems that he or she may encounter later:
• Know how to choose the appropriate modeling (3D/structural elements, representation of contacts, behavior of materials, ...)
• Know how to put it into practice in a software framework
• Master the methods of solving a nonlinear problem in this context
• Know the possibilities and limits of numerical simulation and its models
• Know how to analyze, criticize and present a calculation result

• Advanced contact management (with friction, making/losing contact, etc.)
• Implementation of plasticity, in connection with the plasticity course
• Implementation of large deformations, in connection with the course on large deformations
• Implementation of dynamic calculations, in connection with the structural dynamics course
• Mini-Project (2 sessions with teacher and 2 sessions independently)

• Know how to formulate complex problems in a software framework
• Know how to analyze, criticize and present the results of a calculation
• Know how to formulate specific development requests for software
• Know how to choose the most suitable software for the problems dealt with

•  CC1 : Mini-project paper (55 %)
•  CC2 : Reports on practical work sessions (45 %)

•  PDF version of slides
•  M. Bonnet et A. Frangi, Analyse des solides déformables par la méthode des éléments finis, Les éditions de l'École Polytechnique, 2006
•  T.J. Hughes, The finite element method: linear static and dynamic finite element analysis, Dover, 2012

•  Stéphane Bourgeois
•  Stéphane Lejeunes (CNRS research engineer, Laboratory of Mechanics and Acoustics)
•  Iulian Rosu (CNRS research engineer, Laboratory of Mechanics and Acoustics)
•  Emmanuelle Sarrouy