  The variational discrete element method developed in [28] for dynamic
elasto-plastic computations is adapted to compute the deformation of elastic
Cosserat materials. In addition to cellwise displacement degrees of freedom
(dofs), cellwise rotational dofs are added. A reconstruction is devised to
obtain P 1 non-conforming polynomials in each cell and thus constant strains
and stresses in each cell. The method requires only the usual macroscopic
parameters of a Cosserat material and no microscopic parameter. Numerical
examples show the robustness of the method for both static and dynamic
computations in two and three dimensions.
