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A partition of unity enriched dual boundary element method for accurate computations in fracture mechanics

Simpson, Robert; Trevelyan, Jon

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Authors

Robert 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). A partition of unity enriched dual boundary element method for accurate computations in fracture mechanics. Computer Methods in Applied Mechanics and Engineering, 200(1-4), 1-10. https://doi.org/10.1016/j.cma.2010.06.015

Journal Article Type Article
Publication Date Jan 1, 2011
Deposit Date Nov 29, 2010
Publicly Available Date Mar 28, 2024
Journal Computer Methods in Applied Mechanics and Engineering
Print ISSN 0045-7825
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 200
Issue 1-4
Pages 1-10
DOI https://doi.org/10.1016/j.cma.2010.06.015
Keywords BEM, Fracture, Partition of Unity, Enrichment.

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