In this work, we try to answer the following question: What is the effectiv
e characteristic length of a mixture of Cosserat continua? More generally,
homogenization methods for heterogeneous Cosserat media are proposed and ap
plied to the case of linear elasticity. They first application deals with a
beam network regarded as a discrete Cosserat medium and the second with a
continuous heterogeneous Cosserat continuum.