Fundamental Solutions of the Equations of the Oscillation Theory for Anisotropic Elastic Media

被引：0

作者：

Ilyashenko, A. V. ^{[1
]}

机构：

[1] Moscow State Univ Civil Engn, Moscow 129337, Russia

来源：

MECHANICS OF SOLIDS | 2023年 / 58卷 / 05期

关键词：

fundamental solutions; anisotropy; isotropy; oscillation theory; BOUNDARY-INTEGRAL-EQUATION; DYNAMIC GREENS-FUNCTIONS; ELEMENT SOLUTION; WAVES; BEM;

D O I：

10.3103/S002565442360006X

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The construction of fundamental solutions in R-3 for the equations of harmonic vibrations in the theory of elasticity of anisotropic elastic media is carried out. Solutions are constructed in the form of multipole series. Theorems on the convergence of series in the topology of compact convergence in R-3 \0 are proved. The problems on constructing some singular solutions of the theory of vibrations of an anisotropic body are discussed. The fundamental solution of the oscillation equations for an isotropic medium is obtained in a closed form.

引用

页码：1551 / 1558

页数：8

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