Computer labs are planned in the cursus. Students will be invited to choose their style: as developers, they will have the opportunity to introduce new features in a selected finite element code; as users, they will have to perform finite element analyses on simple case studies involving material and/or geometrical nonlinearities.
After the course, attendants should have a good knowledge of some basic aspects in mechanics of material, including the material constitutive equations, the numerical algorithms and the finite element procedures. They will have the ability :
- to choose a material model and the proper procedure to identify the material parameters from experiment;
- to perform calculations of the stress or temperature fields in nonlinear cases, and to successfully manage the iterative processes associated to nonlinearities;
- to deal with contact problems;
- to evaluate the quality of a FE result obtained with a nonlinear computation (mesh sensitivity, numerical integration).
- Basic material models : material modeling, including rheology, plasticity criterion, incremental theory of plasticity, 3D plastic flow, basic hardening rules. Identification procedures, inverse problems
- Advanced constitutive equations : cyclic and complex loadings, damage models, models for thermomechanical loadings, foams and cellular systems, hyperelasticity, polymeric materials
- Finite element formulation : elementary introduction of the method for thermal and mechanical applications. Newton technique, element assembly, tangent matrix. Integration of the constitutive equations, implicit algorithms
- Geometrical nonlinear and contact analysis, stabilization methods. Stability problems. Localization process. Mesh adaptation
- Coupled problems (thermal-metallurgical-mechanical interactions).
Niveau requis : It is mandatory to have a basic knowledge of linear algebra and calculus, and a basic knowledge in continuum mechanics (stress, strain, linear elasticity)
Course is easier for students who have already attended a basic Finite Element course, and who have already manipulated a FE code (not required).
Being curious about mechanical problems, having a good knowledge of plasticity theory would be a must, but is not really needed.
Modalités d'évaluation : During the last afternoon devoted to computer labs, students are requested to show their numerical results in a 20-30 minute oral presentation (prepared by group of 2).
Dernière mise à jour : jeudi 2 février 2012