Stress state of isotropic layer with crack

The stress state of an elastic isotropic layer with a finite through crack is considered. At the boundary planes of the layer, the normal component of the displacement vector and the tangential stress are zero. The crack surface is subject to normal forces that vary arbitrarily. On the basis of three-dimensional elasticity theory, a method of solving the problem is proposed. Numerical results characterizing the behavior of the normal-stress intensity coefficient are obtained. Translated from Prikladnaya Mekhanika, Vol. 33, No. 1, pp. 43–51, January, 1997.