Двумерные нестационарные волны в электромагнитоупругих телах

Type of periodical: Monographies

Section: Mathematics

Publication date: 2019

Authors: В.А. Вестяк, А.Р. Гачкевич, Р.С. Мусий и др.

Summary: A general mathematical formulation of the problem of non-stationary coupled thermo-electro-magneto-elasticity of anisotropic bodies is given. From it, as a special case, initial-boundary value problems for isotropic conductors are obtained. A method for solving problems of this class based on the use of a small parameter is proposed and implemented. Unsteady surface and volume Green's functions are constructed for the electromagnetic and elastic half-planes, as well as for a thick-walled sphere, a space with a spherical cavity and a ball. Statements on the structure of unsteady axisymmetric volumetric Green's functions in a spherical coordinate system are proved.

ISBN 978-5-9221-1843-9

Size in pages: 288

Print run: 300