On three-dimensional problems of multilayered periodic elastic composites

The purpose of the paper is to present some potential function method for solving three-dimensional static problems of multilayered periodic elastic composites. The periodically laminated bodies under consideration consist of two different elastic homogeneous materials. Perfect bonding between the layers is assumed. The analysis is carried out on the basis of the homogenized model with microlocal parameters. As an example of application of the presented method, the problem of multilayered periodic elastic half-space subjected to the pressure produced by a flat-ended rigid elliptical punch is solved.