A boundary element method is derived for solving a class of boundary value problems governing generalized plane thermoelastic deformations of anisotropic elastic materials. The method involves boundary integrals only and provides a simple boundary element procedure for a wide class of problems which do not involve inertia or coupling effects. Numerical results are given for some specific problems in order to assess the effectiveness of the method.
Get full access to this article
View all access options for this article.
References
1.
[1] Rizzo, F. J. and Shippy, D. J.: An advanced boundary integral method for three-dimensional thermoelasticity. Int. J. Num. Methods Eng., 11, 1753-1768 (1977).
2.
[2] Rizzo, F. J. and Shippy, D. J.: The boundary element method in thermoelasticity, in Developments in Boundary Element Methods, pp. 155-172, ed., P K. Banerjee and R. Butterfield, Applied Science, London, 1979.
3.
[3] Sladek, V. and Sladek, J.: Boundary integral equation method in thermoelasticity, Part III: Uncoupled thermoelasticity. Appl. Math. Modelling, 8, 413-418 (1984).
4.
[4] Sladek, V. and Sladek, J.: Improved computation of thermal stresses in stationary thermoelasticity using boundary elements. Zeitschriftfur Angewandte und Mechanikl70, 141-144 (1990).
5.
[5] Deb, A.: Boundary element analysis of anisotropic bodies under thermo-mechanical body force loadings. Computers Struct., 58, 715-725 (1996).
6.
[6] Deb, A., Henry, D. P., and Wilson, R. B.: Alternate BEM formulation for 2-and 3-D anisotropic thermoelasticity. Int. J. Solids Struct., 27, 1721-1738 (1991).
7.
[7] Clements, D. L.: Thermal stress in an anisotropic elastic half space. SIAMJ. Appl. Math., 24, 332-337 (1973).
8.
[8] Clements, D. L.: Boundary Tblue Problems Governed by Second Order Elliptic Systems, Pitman, London, 1981.
9.
[9] Clements, D. L. and Rizzo, F.: A method for the numerical solution of boundary value problems governed by second-order elliptic systems. J. Inst. Math. Appl., 22, 197-202 (1978).
10.
[10] Clements, D. L. and Jones, O.: The boundary integral equation method for the solution of a class of problems in anisotropic elasticity. J. Aust. Math. Soc., Series B, 22, 394-407 (1981).