Abstract
A problem of pairing thin elastic and rigid inclusions with possible delamination in elastic bodies is considered. On the crack and at the intersection of the crack with a hard inclusion, boundary conditions are imposed in the form of inequalities, excluding mutual penetration of the crack faces and thin inclusions. The existence and uniqueness of the solution of the problem is established. It is shown that a corresponding variational statement is equivalent to a differential setting. A passage to the limit as stiffness parameter of thin inclusions tends to infinity is investigated.
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