Mixed- and crack-type dynamical problems of electro-magneto-elasticity theory-Reference-Cited by-同舟云学术

Mixed- and crack-type dynamical problems of electro-magneto-elasticity theory

Published:2020-02-11 Issue:4 Volume:28 Page:533-553
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Buchukuri Tengiz¹,Chkadua Otar²,Natroshvili David³

Affiliation:

1. A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University , 6 Tamarashvili str. , Tbilisi 0177 , Georgia

2. A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University , 6 Tamarashvili str., 0177; and Sokhumi State University, 9 A. Politkovskaia str. , Tbilisi 0186 , Georgia

3. Georgian Technical University , 77 M. Kostava st., 0175; and I. Vekua Institute of Applied Mathematics of I. Javakhishvili Tbilisi State University, 2 University str. , Tbilisi 0186 , Georgia

Abstract

Abstract We investigate the solvability of three-dimensional dynamical mixed boundary value problems of electro-magneto-elasticity theory for homogeneous anisotropic bodies with interior cracks. Using the Laplace transform technique, the potential method, and the theory of pseudodifferential equations, we prove the existence and uniqueness theorems and analyze asymptotic properties of solutions near the crack edges and near the lines where the different boundary conditions collide.

Funder

Shota Rustaveli National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2020-2051/pdf

Reference24 articles.

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