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Zbl 0906.73074
Li, S.; Mear, M.E.; Xiao, L.
Symmetric weak-form integral equation method for three-dimensional fracture analysis. (English)
[J] Comput. Methods Appl. Mech. Eng. 151, No.3-4, 435-459 (1998). ISSN 0045-7825

A symmetric Galerkin boundary element method is developed for the analysis of linearly elastic isotropic three-dimensional solids containing fractures. The formulation is based upon a weak-form displacement integral equation and a weak-form traction integral equation. These integral equations are only weakly singular, and their validity requires only that the boundary displacement data are continuous, hence, allowing standard $C^0$ elements to be employed. As part of the numerical implementation, a special crack-tip element is developed which has a feature in that there exist degrees of freedom associated with the nodes at the crack front.

MSC 2000:: *74S15 Boundary element methods
74R99 Fracture and damage

Keywords: Galerkin boundary element method; linearly elastic isotropic three-dimensional solids; displacement integral equation; traction integral equation; crack-tip element

Cited in: Zbl 1194.74501

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