Implementation of the Finite Isotropic Linear Cosserat Models based on the Weak Form

J. Jeong[1], and H. Ramezani[2]
[1]Ecole Speciale des Travaux Publics du Batiment et del’Industrie(ESTP), Cachan, France
[2]Ecole Polytechnique de l’Universite d’Orleans CNRS/CRMD, Orleans, France

The Cosserat models fall into the group of the extended continuum media. They are capable of treating the size effects (characteristic length) in a natural manner using six material moduli for the isotropic elastic cases instead of two (and) for the classical continuum mechanics. This model involves two constitutive laws corresponding to two kinds of balance equation. The first one handles the stress-strain relation and the second treats the couple stress-curvature tensor relation. It is of importance to note that neither stress tensor nor strain tensor is symmetric and the strain tensor contains the microrotation term. In this study, COMSOL Multiphysics enables us to put into practice 3D Cosserat models for the multi-scale modeling.