On 3D punch problems for a periodic two-layered elastic half-space

Within the framework of the linear elasticity with microlocal parameters three-dimensional contact problems for a half-space region consisting of alternating layers of two homogeneous, isotropic and linear-elastic materials are examined. Effective results can be obtained on the basis of similarity in governing equations for the homogenized model of the laminated medium and transversely isotropic elastic solid.