NONCLASSICAL INTERFACE PROBLEMS FOR PIECEWISE HOMOGENEOUS ANISOTROPICELASTIC BODIES

Two non-classical model interface problems for piecewise homogeneous a nisotropic bodies are studied. In both problems on the contact surface jumps of the normal components of displacement and stress vectors are given. In addition, in the first problem (Problem H) the tangent comp onents of the displacement vectors are given from both sides of the co ntact surface, while in the second one (Problem G) the tangent compone nts of the stress vectors are prescribed on the same surface. The exis tence and uniqueness theorems are proved by means of the boundary inte gral equation method, and representations of solutions by single layer potentials are established. In the investigation the general approach of regularization of the first kind of integral equations is worked o ut for the case of two-dimensional closed smooth manifolds. An equival ent global regularizer operator is constructed explicitly in the form of a singular integro-differential operator.