NONCLASSICAL MIXED INTERFACE PROBLEMS FOR ANISOTROPIC BODIES

The paper deals with the three-dimensional mathematical problems of th e elasticity theory of anisotropic piece-wise homogeneous bodies. Non- classical mixed type boundary value problems are studied when on one p art (S-1) of the interface the rigid contact conditions (jumps of disp lacement and stress vectors) are given, while conditions of the non-cl assical interface Problem H or Problem G are imposed on the remaining part (S-2) Of the interface, i.e., in both cases jumps of the normal c omponents of displacement and stress vectors are known on S-2 and, in addition, in the first one (Problem H) the tangent components of the d isplacement vector and in the second one (Problem G) the tangent compo nents of the stress vector are given from the both sides on S-2. The i nvestigation is carried out by the potential method and the theory of pseudodifferential equations on manifolds with boundary.