Skip to main content

Research Repository

Advanced Search

Evaluation of J1 and J2 integrals for curved cracks using an enriched Boundary Element Method

Simpson, R.; Trevelyan, J.

Authors

R. Simpson



Abstract

This paper introduces an enriched Boundary Element Method in which functions are introduced that are known to model singularities or discontinuities from a priori knowledge of the solution space. Additional fundamental solutions are introduced to solve for the additional unknowns created by enrichment and a numerical integration routine is outlined for the evaluation of strongly singular and hypersingular enriched boundary integrals. The solution of a curved crack in an infinite domain by Muskhelishvili is used to assess the accuracy of the method. Using an appropriate technique to evaluate J1 and J2 integrals, it is found that very good agreement with the exact solution is seen with improvements in accuracy over similar FEM implementations.

Citation

Simpson, R., & Trevelyan, J. (2011). Evaluation of J1 and J2 integrals for curved cracks using an enriched Boundary Element Method. Engineering Fracture Mechanics, 78(4), 623-637. https://doi.org/10.1016/j.engfracmech.2010.12.006

Journal Article Type Article
Publication Date Jan 1, 2011
Deposit Date Mar 1, 2011
Journal Engineering Fracture Mechanics
Print ISSN 0013-7944
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 78
Issue 4
Pages 623-637
DOI https://doi.org/10.1016/j.engfracmech.2010.12.006
Keywords BEM, fracture, J-integral, J1, J2 enrichment.

You might also like



Downloadable Citations