Homogenization of the equations of state for a heterogeneous layered medium consisting of two creep materials

A mathematical model that describes the joint motion of periodically alternating layers of two isotropic creep materials is considered. It is assumed that all layers are parallel to one of the coordinate planes and the thickness of any two adjacent layers is $\varepsilon$. For this model, the corresponding homogenized model for $\varepsilon\to0$ is constructed, which describes the behavior of a homogeneous creep material.