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Boundary integral equation methods in the theory of elasticity of hemitropic materials: A brief review

โœ Scribed by David Natroshvili; Ioannis G. Stratis; Shota Zazashvili

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
327 KB
Volume
234
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

The theory of elasticity of hemitropic materials has recently been the object of rigorous mathematical analysis. In particular, the potential method and the theory of pseudodifferential equations have been used in studying the solvability in various function spaces of the main boundary value and transmission problems, in smooth and in Lipschitz domains. The main features and results of this boundary integral equations approach are briefly reviewed here.

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## Abstract This work considers the methods for solving approximately the four types of boundary equations arising when the third initial boundary value problem of the theory of elasticity is solved with the help of retarded elastic potentials. The convergence of these methods is proved.