Dual Boundary Element Method Applied to Antiplane Crack Problems | Zendy

Wei-Liang Wu | Zendy

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Dual Boundary Element Method Applied to Antiplane Crack Problems

Author(s) -

Wei-Liang Wu

Publication year - 2009

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2009/132980

Subject(s) - boundary element method , dual (grammatical number) , structural engineering , element (criminal law) , boundary (topology) , materials science , finite element method , mathematical analysis , mathematics , engineering , art , literature , political science , law

This paper is concerned with an efficient dual boundary elementmethod for 2d crack problems under antiplane shear loading. The dual equations are the displacement and the traction boundary integral equations. When the displacement equation is applied on the outer boundary and the traction equation on one of the crack surfaces, general crack problems with anti-plane shear loading can be solved with a single region formulation. The outer boundary is discretised with continuous quadratic elements; however, only one of the crack surfaces needs to be discretised with discontinuous quadratic elements. Highly accurate results are obtained, when the stress intensity factor is evaluated with the discontinuous quarter point element method. Numerical examples are provided to demonstrate the accuracy and efficiency of the present formulation

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