STEADY-STATE OSCILLATION PROBLEMS IN ANISOTROPIC ELASTICITY

Three-dimensional steady state oscillation problems of the elasticity theory for homogeneous anisotropic bodies are studied. The most decayi ng fundamental matrices are constructed and the generalized Sommerfeld -Kupradze type radiation conditions are formulated in the anisotropic elasticity. For a wide class of boundary valve problems (BVPs) the uni queness theorems are established in the special function spaces for ar bitrary values of the oscillation parameter. Existence theorems are pr oved by reduction of the original BVPs to the equivalent boundary inte gral (pseudodifferential)equations. For crack type problems C-alpha-re gularity of solutions is established with alpha < 1/2.