New local near-tip functions for the element-free Galerkin method. (English) Zbl 1112.74066
Summary: An enhanced local enrichment technique using new near-tip functions is presented based on the framework of EFG method for elastic crack problems. The new near-tip enrichment reduces by a factor of four the number of auxiliary basis function required by the local enrichment. Also, it shows better accuracy than the previous local enrichment. The performance is compared with the previous enrichment techniques through several numerical examples.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 74R10 | Brittle fracture |
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