Software tools for mechanics - Basics

Continuum Mechanics, Weak Formulations or Virtual Power Theorem

The objective of this course is to master the finite element method to solve simple problems (materials with linear elastic behavior, static):
•  Acquire a broad vision of software tools using the finite element method in solid mechanics
•  Know the theoretical foundations of the method
•  Know and know how to use the finite element method in a software framework
  -- Know how to define a problem in a software framework
  -- Know how to build the steps of the resolution of a problem in a software framework
•  Know how to analyze and criticize a calculation result
•  Know the limits of a model and of numerical simulation
Advanced modeling and calculation elements will be covered in the Software Tools in Mechanics - Advanced course.

•  Theoretical review on FEM
•  Presentation and handling of the Abaqus software
•  Resolution of various simple problems (3D volume, linear elasticity) in the form of practical work and a Mini-Project (1 session with a teacher and 1 session independently)
•  Use of structural elements (beams, plates and shells), in connection with the Thin structures and instabilities course

•  Know how to formulate simple problems in a software framework
•  Know how to analyze and criticize the results of a calculation
•  Know how to choose the most suitable software for the considered problems

•  CC1 : MCQ on theoretical part 1 (10 %)
•  CC2 : Mini-project paper (65 %)
•  CC3 : Report on practical work session related to thin structures course (25 %)

•  Lecture notes on theoretical part
•  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
•  Iulian Rosu (CNRS research engineer, Laboratory of Mechanics and Acoustics)
•  Emmanuelle Sarrouy