ON CONTACT PROBLEMS WITH DEFORMABLE STAMP

This paper presents one of the methods for studying behavior deformable stamps on a base. It is based new universal modeling method previously published by authors, used in boundary value problems systems partial differential equations. Its advantage possibility avoiding need to solve complex equations replacing them with separate equations, among which Helmholtz are simplest. With help combinations solutions this equation, it possible describe multicomponent problems, including cracks type formed objects base, and models nano particles located bases. However, without ability contact stamps, these not built. The mixed problem reduced solution Wiener–Hopf integral equation. Two cases considered: case large-width strip stamp semi-infinite stamp. A packed block element accepted as stamp, equation specified area. Mechanically, can be imitated membrane that multilayer medium occupying combination such flat more rheology, well three-dimensional ones. Along proof constructing an exact under consideration, appearance unknown functionals noted course study. In absolutely solid they do occur. finds way determine analytical representation obtained. suggested their will typical solving other stamps. features results obtained discussed.