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Journal ArticleDOI

Thermal Stress in an Anisotropic Elastic Half-Space

David L. Clements
- 01 May 1973 - 
- Vol. 24, Iss: 3, pp 332-337
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TLDR
In this paper, the distribution of thermal stress in an anisotropic elastic half-space is derived for the case when the temperature and stress fields are independent of one of the three Cartesian coordinates.
Abstract
Equations for the distribution of thermal stress in an anisotropic elastic half-space are derived for the case when the temperature and stress fields are independent of one of the three Cartesian coordinates. These equations are used to determine the stress field due to an arbitrary temperature distribution and particular stress and displacement conditions on the boundary of the half space. The analysis holds for the most general anisotropy in which no symmetry elements of the material are assumed.

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Citations
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Journal ArticleDOI

The method of fundamental solutions for heat conduction in layered materials

TL;DR: In this article, the authors investigated the application of the Method of Fundamental Solutions (MFS) to two-dimensional problems of steady-state heat conduction in isotropic and anisotropic bimaterials.
Journal ArticleDOI

A time-stepping drbem for magneto-thermo-viscoelastic interactions in a rotating nonhomogeneous anisotropic solid

TL;DR: In this article, a numerical model based on the dual reciprocity boundary element method (DRBEM) for studying the transient magneto-thermo-viscoelastic stresses in a nonhomogeneous anisotropic solid subjected to a heat source is presented.
Journal ArticleDOI

On some crack problems in anisotropic thermoelasticity

TL;DR: In this paper, a single crack in an anisotropic material in which the displacement and stress are independent of one Cartesian coordinate is considered, and no symmetry elements of the material are assumed and the temperature, displacement, and stress fields are determined for an arbitrary distribution of temperature or heat flux.
Journal ArticleDOI

A time-stepping DRBEM for the transient magneto-thermo-visco-elastic stresses in a rotating non-homogeneous anisotropic solid

TL;DR: In this article, the transient magneto-thermo-visco-elastic stresses in a nonhomogeneous anisotropic solid placed in a constant primary magnetic field acting in the direction of the z-axis and rotating about it with a constant angular velocity were studied.
Journal ArticleDOI

Thermoelectroelastic Green's function and its application for bimaterial of piezoelectric materials

TL;DR: In this paper, the thermoelectroelastic Green's functions for bimaterials subjected to a temperature discontinuity are presented by way of Stroh formalism, and the problem of a crack of arbitrary orientation near a bimmaterial interface between dissimilar thermopiezoelectric material is analyzed.
References
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Book

Conduction of Heat in Solids

TL;DR: In this paper, a classic account describes the known exact solutions of problems of heat flow, with detailed discussion of all the most important boundary value problems, including boundary value maximization.
Journal ArticleDOI

Dislocations and Cracks in Anisotropic Elasticity

TL;DR: In this paper, the authors considered the elastic equations for the case in which the state of the solid is independent of one of the three Cartesian coordinates, and the stresses due to a dislocation, a wall of parallel dislocations, and a crack in an arbitrary non-uniform stress field were obtained.
Journal ArticleDOI

Anisotropic elasticity with applications to dislocation theory

TL;DR: In this article, a general solution of the elastic equations for an arbitrary homogeneous anisotropic solid is found for the case where the elastic state is independent of one (say x3) of the three Cartesian coordinates x1, x2, x3.