Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-04-30T17:37:58.423Z Has data issue: false hasContentIssue false
  • English
  • Français

Heat Conduction in Dissimilar Anisotropic Media with Bonding Defects/Interface Cracks

Published online by Cambridge University Press:  05 May 2011

Y. C. Shiah ,
R.-B. Yang  and
P.-W. Hwang
Y. C. Shiah*
Affiliation:
Department of Aerospace and Systems Engineering, Feng Chia University, Taichung, Taiwan 40724,R.O.C.
R.-B. Yang*
Affiliation:
Department of Aerospace and Systems Engineering, Feng Chia University, Taichung, Taiwan 40724,R.O.C.
P.-W. Hwang*
Affiliation:
Department of Aerospace and Systems Engineering, Feng Chia University, Taichung, Taiwan 40724,R.O.C.
*
* Associate Professor
** Assistant Professor
** Assistant Professor
Get access

Abstract

As an essential foundation for the associated thermoelasticity analysis in the boundary element method (BEM), this article proposes an expedient, yet powerful, approach to analyze the heat conduction in multiply jointed anisotropic media with bonding defects/interface cracks. The direct domain mapping technique (DDM) is applied to treat a domain consisting of dissimilar anisotropic sub-regions in the potential theory of BEM. The heat transfer across a crack is modeled with a gap conductance equation specially formulated for the BEM analysis. Two numerical examples are provided as illustrations of the validity and the applicability of this proposed scheme.

Keywords

Anisotropic heat conductionMultiply jointed compositesInterface cracks
Type
Articles
Information
Journal of Mechanics , Volume 21 , Issue 1 , March 2005 , pp. 15 - 23
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Chang, Y. P., “Analytical solution for heat conduction in anisotropic media in infinite semi-infinite, and two-place-bonded regions,” Int. J. Heat Mass Transfer, Vol. 20, pp. 1019–1028 (1977).Google Scholar
2.Poon, K. C, “Transformation of heat conduction problems in layered composites from anisotropic to orthotropic,” Lett. Heat Mass Transfer, Vol. 6, pp. 503–511 (1979).CrossRefGoogle Scholar
3.Zhang, X. Z., “Steady-state temperatures in an anisotropic strip,” J. Heat Transfer, Vol. 112, pp. 16–20 (1990).Google Scholar
4.Shiah, Y. C. and Tan, C. L., “Exact boundary integral transformation of the thermoelastic domain integral in bem for general 2D anisotropic elasticity,” Computational Mechanics, Vol. 23, pp. 87–96 (1998a).CrossRefGoogle Scholar
5.Shiah, Y. C. and Tan, C. L., “BEM treatment of two-dimensional anisotropic field problems by direct domain mapping,” Engineering Analysis with Boundary Elements, Vol. 20, pp. 347–351 (1998b).CrossRefGoogle Scholar
6.Segerlind, L. J., Applied Finite Element Analysis, Wiley, USA (1984).Google Scholar
7.Li, W. H., Fluid Mechanics in Water Resources Engineering, Allyn & Bacon, USA (1983).Google Scholar
8.Bruce, E. and Lejeune, A., “An effective solution of the numerical problems at multi-domain points for anisotropic Laplace problems,” Advances in Boundary Elements, Vol. 2: Field and Fluid Flow Solutions, Proc, 11th Int. Conf. Boundary Element Methods, Cambridge, MA, USA, Brebbia, C A. and Connor, J. J., Eds., Computational Mechanics Publications, Southampton Boston (1989).Google Scholar
9.Banerjee, P. K. and Butterfield, R., Boundary Element Methods in Engineering Science, McGraw-Hill, USA (1981).Google Scholar
10.Poon, K. C., Tsou, R. C. H., and Chang, Y. P., “Solution of anisotropic problems of first class by coordinate transformation,” Journal of Heat Transfer, Vol. 101, pp. 340–345 (1979).CrossRefGoogle Scholar
11.Shiah, Y. C. and Lin, C. Y., “Anisotropic heat conduction involving internal arbitrary volume heat generation rate,” International Communications in Heat and Mass Transfer, Vol. 29, No. 8, pp. 1079–1088 (2002).CrossRefGoogle Scholar
12.Miller, T. C. and Chona, R., “Finite element analysis of a thermally loaded interface crack in a ceramic coating,” Engineering Fracture Mechanics, Vol. 59, No. 2, pp. 203–214 (1998).CrossRefGoogle Scholar
13.Nye, J. F., Physical Properties of Crystals: Their Representation by Tensors and Matrices, Oxford: Clarendon, 196p (1960).Google Scholar