This paper describes the formulation and numerical implementation of the three-dimensional dual boundary element method (DBEM) for the thermoelastic analysis of mixed-mode crack problems in linear elastic fracture mechanics. The DBEM incorporates two pairs of independent boundary integral equations; namely the temperature and displacement, and the flux and traction equations. In this technique, one pair is applied on one of the crack faces and the other pair on the opposite one. On non-crack boundaries, the temperature and displacement equations are applied.
Fracture mechanics stress intensity factors boundary integral equation method.
This is a preview of subscription content, log in to check access.
Cruse, T.A. (1977). Mathematical formulations of the boundary integral equation method in solid mechanics. Technical Report AFOSR–TR–77–1002. Pratt and Whitney Aircraft Group.Google Scholar
Das, B.R. (1968). Thermal stresses in a long cylinder containing a penny–shaped crack. International Journal of Engineering Science6, 497–516.zbMATHCrossRefGoogle Scholar
Florence, A.L. and Goodier, J.N. (1963). The linear thermoelastic problem of uniform heat flow disturbed by a penny–shaped insulated crack. International Journal of Engineering Science1, 533–540.MathSciNetCrossRefGoogle Scholar
Mi, Y. and Aliabadi, M.H. (1992). Dual boundary element method for three–dimensional fracture mechanics analysis. Engineering Analysis with Boundary Elements10, 161–171.CrossRefGoogle Scholar
Murakami, Y. et al. (1987). Stress Intensity Factors Handbook, Pergamon Press, London.Google Scholar
Olesiak, Z. and Sneddon, I.N. (1959). The distribution of therml stress in an infinite elastic solid containing a penny–shaped crack. Archive for Rational Mechanics and Analysis4, 238–254.MathSciNetCrossRefADSGoogle Scholar
Portela, A., Aliabadi, M.H. and Rooke, D.P. (1992). The dual boundary element method: Effective implementation for crack problems. International Journal for Numerical Methods in Engineering33, 1269–1278.zbMATHCrossRefGoogle Scholar
Prasad, N.N.V., Aliabadi, M.H. and Rooke, D.P. (1994). The dual boundary element method for thermoelastic crack problem. International Journal of Fracture66, 255–272.CrossRefADSGoogle Scholar
Rizzo, F.J. and Shippy, D.J. (1977). An advanced boundary integral equation method for three–dimensional thermoelasticity. International Journal for Numerical Methods in Engineering11, 1753–1768.zbMATHCrossRefGoogle Scholar