Equilibrium state of the internal crack in the infinite elastic wedge with thin coating

We studied the stress concentration in the neighborhood of the vertices of the internal crack located on the bisector of an infinite elastic wedge. Normal forces are applied to the edges of the crack. The edges of the wedge are supported by a thin flexible covering, free from stresses from the outside. The effect of the coating on the stress‐strain state of the wedge is modeled by a special boundary condition. The correctness of which is confirmed by numerical simulations. The integral Mellin transform made it possible to reduce the problem to the solution of a singular integral equation of the first kind with a Cauchy kernel with respect to the derivative of the crack opening function. Solutions of the integral equation are constructed by the collocation method for various combinations of geometric and physical parameters of the problem.