On a Method for Solving Boundary Value Problems of the Dynamical Theory of Elasticity in a Quarter Plane

被引：0

作者：

Babeshko, V. A. ^{[1
,2
]}

Evdokimova, O., V ^{[1
]}

Babeshko, O. M. ^{[2
]}

机构：

[1] Russian Acad Sci, Southern Sci Ctr, Rostov Na Donu 344006, Russia

[2] Kuban State Univ, Krasnodar 350040, Russia

来源：

MECHANICS OF SOLIDS | 2021年 / 56卷 / 07期

基金：

俄罗斯基础研究基金会;

关键词：

boundary value problems; block element method; packed block elements; Lame equations; Helmholtz equations; BLOCK-ELEMENT METHOD;

D O I：

10.3103/S0025654421070037

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In the paper, using the coordinate block element method, an exact solution in the first quadrant of a plane boundary value problem of the second kind for the dynamic Lame elasticity equations is constructed for the first time and is expanded in terms of solutions of boundary value problems for the Helmholtz equation. In the earlier paper of the authors, the solution was constructed by an integro-differential method. Exact solutions of vector boundary value problems using scalar ones in nonclassical domains make it possible to simplify the solutions of boundary value problems in media of complex rheology and to get information on some processes and phenomena in mechanics and physics that was previously overlooked when other approaches were used.

引用

页码：1373 / 1378

页数：6

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