Simpson, Robert and Trevelyan, Jon (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). pp. 1-10.
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.
| Item Type: | Article |
|---|---|
| Keywords: | BEM, Fracture, Partition of Unity, Enrichment. |
| Full text: | (AM) Accepted Manuscript Download PDF (139Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://dx.doi.org/10.1016/j.cma.2010.06.015 |
| Date accepted: | No date available |
| Date deposited: | 02 December 2010 |
| Date of first online publication: | January 2011 |
| Date first made open access: | No date available |
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