Part I: About the multi-scale description of heterogeneous materials.

  • Lecture 1: The world seen from the bottom: from atomic scale toward physical laws used by engineers (J-F D, 2h)
  • Lecture 2: Introduction to homogenization (CL, 6h)
  • Lecture 3: Homogenization through asymptotic expansions method. Application to elasticity (TW, 3h)

Part II: Modelling by homogenization of selected multi-physical problems.

  • Lecture 4: Thermo-mechanical coupling and homogenization: the case of SMA (BW, 2h)
  • Lecture 5: Modeling by homogenization of hydro-mechanical coupling in porous media. (JL, 3h)
  • Lecture 6: Modelling by homogenization in bio-mechanics (Ch.G., 3h)
  • Lecture 7: Environment and multi-scale modelling (J.-F. D, 3h)

Part III: Numerical multi-scale modelling of selected multi-physical problems.

  • Session 1: Introduction to Comsol Multiphysics (BW, 3h)
  • Session 2: Basic features of Comsol Multiphisics and Modelling of hydro-mechanical coupling (JL, 3h)
  • Session 3: Identification (BW, 3h)