Material behavior - Large strain

Continuum mechanics, algebra and tensor analysis (1st year Mechanics course)

Know how to deal with problems in large strain framework:
•  Master the concepts of configuration and measurement of stress and strain seen during the first year adapted to the framework of large strain
•  Know how to formulate laws of behavior in large strain
•  Know how to implement these notions within the framework of a calculation software

•  Definition of kinematics and sthenics in large deformations
•  Equilibrium equations
•  Rewriting of the thermodynamic framework in the different configurations
•  Non-linear elasticity
•  Hyperelastic models, special cases of isotropy and incompressibility
•  Some examples of dissipative models, notions of intermediate states and application to elastomers

•  Know how to identify the appropriate behavioral model for the problem at hand
•  Model complex problems with advanced behavioral models
•  Conduct and analyze calculations in large deformations

DS: written evaluation, 2h (100%)

•  Course handout (PDF)
•  J. Garrigues, Cinématique des milieux continus (online)
•  G. Holzapffel, Nonlinear solid mechanics, 2000
•  C. Felippa, Nonlinear Finite Elements (online)

Stéphane Lejeunes (CNRS Research Engineer, Laboratory of Mechanics and Acoustics)