Fundamental solutions in the linear theory of thermoelasticity for solids with triple porosity

被引:12
|
作者
Svanadze, Merab [1 ]
机构
[1] Ilia State Univ, Inst Fundamental & Interdisciplinary Math Res, Tbilisi, Georgia
基金
美国国家科学基金会;
关键词
Equilibrium; fundamental solution; steady vibrations; thermoelasticity; triple porosity materials; ELASTIC-MATERIALS; FLOW; UNIQUENESS; CONSOLIDATION; TRANSPORT; STABILITY; BEHAVIOR; FLUID; WAVES;
D O I
10.1177/1081286518761183
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper deals with the fully coupled linear theory of thermoelasticity for triple porosity materials. The system of general governing equations of motion is expressed in terms of the displacement vector field, the pressures in the three pore systems (macro-, meso- and micropores) and the temperature. The fundamental solutions are constructed explicitly by means of elementary functions for the five special cases of the equations of motion: (1) equations of steady vibrations; (2) equations in the Laplace transform space; (3) equations of steady vibrations in the quasi-static theory; (4) equations of equilibrium; and (5) equations of steady vibrations for rigid body with triple porosity. Finally, the basic properties of these solutions are established.
引用
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页码:919 / 938
页数:20
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