Equilibrium problems for elastic body with a crack and thin conjugated inclusions

An equilibrium problem for an elastic body is considered. It is assumed that the body has crack which junction the thin inclusion at a given point. We analyze a conjugate conditions parts of thin inclusion. Inequality type boundary conditions are considered at the crack faces to prevent a mutual penetration between the faces. Existence of solutions is proved. Equivalent problem formulations are discussed. The passage to the limit under stiffness parameter of thin inclusions to infinity.