A coupled BEM/Scaled Boundary FEM formulation for accurate computations in linear elastic fracture mechanics

Bird, G.E.; Trevelyan, J.; Augarde, C.E.

doi:10.1016/j.enganabound.2010.01.007

A coupled BEM/Scaled Boundary FEM formulation for accurate computations in linear elastic fracture mechanics

Bird, G.E.; Trevelyan, J.; Augarde, C.E.

Authors

G.E. Bird

Professor Jon Trevelyan jon.trevelyan@durham.ac.uk
Emeritus Professor

Professor Charles Augarde charles.augarde@durham.ac.uk
Head Of Department

Abstract

Issues relating to the practical implementation of the coupled boundary element–scaled boundary finite element method are addressed in this paper. A detailed approach highlights fully the process of applying boundary conditions, including the treatment of examples in which the assumptions made in previous work are no longer valid. Verification of the method is undertaken by means of estimating stress intensity factors and comparing them against analytical solutions. The coupled algorithm shows good convergence properties. Issues relating to traction scaling, the use of discontinuous boundary elements, and the greater versatility of the coupled method over its constituent methods are highlighted.

Citation

Bird, G., Trevelyan, J., & Augarde, C. (2010). A coupled BEM/Scaled Boundary FEM formulation for accurate computations in linear elastic fracture mechanics. Engineering Analysis with Boundary Elements, 34(6), 599-610. https://doi.org/10.1016/j.enganabound.2010.01.007

Journal Article Type	Article
Publication Date	Jun 1, 2010
Deposit Date	May 5, 2010
Publicly Available Date	May 7, 2010
Journal	Engineering Analysis with Boundary Elements
Print ISSN	0955-7997
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	34
Issue	6
Pages	599-610
DOI	https://doi.org/10.1016/j.enganabound.2010.01.007
Keywords	Boundary element method, Scaled boundary finite element method, Fracture, Linear elasticity, Coupled methods.

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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Engineering Analysis with Boundary Elements. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Engineering Analysis with Boundary Elements, 34, 6, June 2010, 10.1016/j.enganabound.2010.01.007.