Abstract:
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.
Key words:crack, thin hard inclusion, fine elastic inclusion, variational problem, non-penetration condition.