We study equilibrium of a two-layer construction of elastic and rigid layers with a crack along the line joining the layers. We consider the limit problem as the rigid layer… Click to show full abstract
We study equilibrium of a two-layer construction of elastic and rigid layers with a crack along the line joining the layers. We consider the limit problem as the rigid layer size tends to zero and the optimal control problem where the cost functional is the derivative of the energy functional with respect to the crack length and the control parameter characterizes the rigid layer size.
               
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