MIXED CRACK TYPE PROBLEM IN ANISOTROPIC ELASTICITY

The paper deals with three-dimensional mixed boundary value problem of the anisotropic elasticity theory when the elastic body under conside ration has a cut in the form of an arbitrary non-closed, two-dimension al, smooth surface with a smooth boundary: on one side of the cut surf ace the Dirichlet type condition (i. e., the displacement vector) is g iven, while on the other side the Neumann type condition (i. e., the s tress vector) is prescribed. Applying the potential method and invokin g the theory of Psi DEs uniqueness, existence and regularity results a re proved in various function spaces. The asymptotic expansion of the solution of the corresponding system of boundary Psi DEs is written.