A new three-dimensional formulation for the fracture mechanics problem based on a nonsingular form of the hypersingular Somigliana stress identity (SSI) is presented. The resulting formulation permits the use of low-order numerical integration algorithms and allows the crack opening displacement variable to be modeled in a piecewise-C-1,C-alpha manner which is well suited to standard boundary element method (BEM) algorithms. The method is not limited to particular crack shapes and is sufficiently general that it holds excellent prospects for providing a general class of numerical Green's functions for this important class of problems. (C) 1998 Elsevier Science Ltd. All rights reserved. References: 19
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