Simpson, R. and Trevelyan, J. (2011) Evaluation of J1 and J2 integrals for curved cracks using an enriched boundary element method. Engineering Fracture Mechanics, 78(4), pp. 623-637. (doi: 10.1016/j.engfracmech.2010.12.006)
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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 J<sub>1</sub> and J<sub>2</sub> integrals, it is found that very good agreement with the exact solution is seen with improvements in accuracy over similar FEM implementations.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Trevelyan, Dr Jon and Simpson, Dr Robert |
| Authors: | Simpson, R., and Trevelyan, J. |
| College/School: | College of Science and Engineering > School of Engineering |
| Journal Name: | Engineering Fracture Mechanics |
| ISSN: | 0013-7944 |
| ISSN (Online): | 1873-7315 |
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