L. Giorgashvili, D. Natroshvili, and Sh. Zazashvili
abstract:
The purpose of this paper is to investigate basic transmission and interface
crack problems for the differential equations of the theory of elasticity of
hemitropic materials with regard to thermal effects. We consider the so called
pseudo-oscillation equations corresponding to the time harmonic dependent case.
Applying the potential method and the theory of pseudodifferential equations
first we prove uniqueness and existence theorems of solutions to the Dirichlet
and Neumann type transmission-boundary value problems for piecewise homogeneous
hemitropic composite bodies. Afterwards we investigate the interface crack
problems and study regularity properties of solution.
Mathematics Subject Classification: 31B10, 35J57, 47G30, 47G40, 74A60, 74G30, 74G40, 74M15
Key words and phrases: Elasticity theory, elastic hemitropic materials, integral Equations, pseudodifferential equations, transmission problems, interface crack problems, potential theory