On micro-macro transition in non linear mechanics

Claude Stolz (1)

1 LMS - Laboratoire de mécanique des solides

This paper is devoted to the description of the general relationships between microscopic and macroscopic mechanical quantities in non-linear mechanics. From a thermodynamical viewpoint, it is only necessary to know the two macroscopic potentials (macroscopic free energy and macroscopic potential of dissipation) to describe the state of the body and its quasistatic evolution. These global potentials are the averages of the local ones. We point out some particular cases of non-linearities, especially the case of damaged materials.

Domaines: Mécanique [physics.med-ph]

Claude Stolz. On micro-macro transition in non linear mechanics. Materials, 2010, 3 (1), pp.296-317. ⟨10.3390/ma3010296⟩. ⟨hal-00456089⟩