Explicit Solutions of Boundary-Value Problems of Thermoelasticity with Microtemperatures for a Half-Space

被引：0

作者：

Giorgashvili L. ^{[1
]}

Burchuladze D. ^{[1
]}

Skhvitaridze K. ^{[1
]}

机构：

[1] Georgian Technical University, Tbilisi

来源：

Journal of Mathematical Sciences | 2016年 / 216卷 / 4期

关键词：

D O I：

10.1007/s10958-016-2911-1

中图分类号：

学科分类号：

摘要：

We consider the statics case of the theory of linear thermoelasticity with microtemperatures materials. The representation formula of a general solution of the homogeneous system of differential equations obtained in this paper is expressed by means of four harmonic and three metaharmonic functions. These formulas are very convenient and useful in many particular problems for domains with concrete geometry. Here we demonstrare an application of these formulas to the III type boundary value problem for a half-space. Uniqueness theorems are proved. Solutions are obtained in quadratures. © 2016, Springer Science+Business Media New York.

引用

页码：538 / 546

页数：8

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