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Symmetric weak-form integral equation method for three-dimensional fracture analysis. (English) Zbl 0906.73074
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:
 74S15 Boundary element methods in solid mechanics 74R99 Fracture and damage