A direct evaluation of stress intensity factors using the Extended Dual Boundary Element Method. (March 2015)

• Record Type: Journal Article
• Authors: Alatawi, I.A.; Trevelyan, J.
• Is Part Of: Engineering analysis with boundary elements. Volume 52(2015:Mar.)
• Page Start: 56
• Page End: 63
• Publication Date: 2015-03
• Subjects: Enriched BEM -- Extended BEM -- Fracture mechanics -- Stress Intensity Factors (SIF); Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2014.11.022
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: We introduce an alternative method in computational fracture mechanics to evaluate Stress Intensity Factors (SIFs) directly using the Extended Dual Boundary Element Method (XBEM) for 2D problems. Like other enrichment approaches, the new approach is able to yield accurate results on coarse discretisations, and the enrichment increases the problem size by only two degrees of freedom per crack tip. The BEM equations formed by collocation at nodes are augmented by two additional equations that enforce continuity of displacement at the crack tip. The enrichment approach provides the values of SIFs K I and K II directly in the solution vector and without any need for postprocessing such as the J-integral. Numerical examples are used to compare the accuracy of these directly computed SIFs to J-integral processing of both conventional and enriched boundary element approximations.