A numerical method to analyse unsteady thermal stresses in three-dimensional problems is proposed. It is shown that three-dimensional unsteady thermal stress problems can be easily solved without the volume integral by means of the thermoelastic displacement potential and the boundary element method. It is also shown that the time integral can be easily carried out analytically. In order to investigate the accuracy of this method, unsteady thermal stress distributions for a sphere and a circular cylinder are obtained. As a numerical example for which it is difficult to obtain the analytical solution, thermal displacements and surface stress distributions for a torus are obtained.
Get full access to this article
View all access options for this article.
References
1.
MasindaJ.‘Application of the Boundary Element Method to 3D Problems of Non-Stationary Thermoelasticity’, Engng Analysis, 1984, 1, 66–69.
2.
MasindaJ.‘Application of BEM to Three-dimensional Problems of Non-Stationary Thermoelastic’, inBoundary Elements, 1985 (Edited by BrebbiaC.MaierG.), Proc. 7th Int. Conf., Como, Italy, (Springer, Berlin) Vol. 1.
3.
BrebbiaC. A.Boundary Element Techniques - Theory and Applications in Engineering, 1984 (Springer, Berlin).
4.
AbramowitzM.StegunI. A. (Editors), Handbook of Mathematical Functions, 1965 (Dover, New York).
5.
ParkusH.Instationäre Wärmespannungen, 1959 (Springer, Berlin), p. 14.
6.
BanerjeeP. K.ButterfieldR.TomlinG. R.‘Boundary element methods for two-dimensional problems of transient ground water flow’, Int. J. Num. Analyt. Methods Geomech.1981, 5, 15–31.
