Thermoelastic contact problem with frictional heating for the punch of functionally graded materials

A contact problem with frictional heating for a body with the functionally graded materials (FGMs) is considered. The FGM body slides on the surface of rigid half-space. The problem is reduced to one integral equation in pressure. The approximate solution was derived basing on the representation of deformed solid surface by a polinomial surface. The influence of the parameters which characterise nonhomogeneity of a medium on a contact region size is investigated.