A domain decomposition based method for two-dimensional linear elastic fractures. (May 2016)

• Record Type: Journal Article
• Authors: Liu, Zhijun; Zheng, Hong; Sun, Cong
• Is Part Of: Engineering analysis with boundary elements. Volume 66(2016:May)
• Page Start: 34
• Page End: 48
• Publication Date: 2016-05
• Subjects: Domain decomposition -- Williams׳ series -- Numerical manifold method -- Lagrange multiplier -- Local refinement -- Stress intensity factor; 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.2016.01.015
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: In this study, the two-dimensional physical domain containing cracks is divided into several non-overlapping parts: rectangular crack-tip regions around crack tips and the outer region without any crack tip. In each crack-tip region the displacement is approximated with Williams׳ series; while in the outer region it is approximated with numerical manifold interpolation. In order to balance accuracy and efficiency in solution, a transitional zone encompassing each crack-tip region is locally refined with a structured mesh. To avoid singular integration over a crack-tip region, the potential energy over every crack-tip region is transformed into the boundary integration. Three different methods to enforce compatibility on interfaces are compared, concluding the Lagrange multiplier method is superior over the other two.