On plane contact problem of an elastic periodically layered composite with boundary normal to layering

This paper deals with some plane contact problem of an elastic laminated halfplane with boundary normal to layering. The considered problem is solved within the framework of the homogenized model with microlocal parameters given by Woźniak [6], Matysiak and Woźniak [7]. The body is assumed to be composed of two-layered, periodically repeated laminae. The perfect mechanical bonding between the layers is assumed. Moreover, the boundary condition for normal stresses on boundary normal to layering is approximated by using approach given by Perkowski et al. [8], Matysiak and Perkowski [9]. This approach allows to reduce the described problem to well-known dual integral equations and it can be solved exactly. Thus, the problem is solved by using analytical methods. The results of numerical analyses shown the distribution of contact pressure and stress distributions are presented in the form of figures.