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XRPIM versus XFEM

S. LIU

Northeastern University, College of Engineering, Boston, MA 02115-5000, USA

https://doi.org/10.1142/S0219876213400069Cited by:1 (Source: Crossref)

Abstract

We present an extended radial point interpolation method (XRPIM) for modeling cracks and material interfaces in two-dimensional elasto-static problems. Therefore, partition of unity enrichment is incorporated into RPIM. We employ both step enrichment and crack tip enrichment for cracks. The studies are restricted to stationary cracks though the method can be extended easily to moving boundaries. We compare the results to the extended finite element method to show the superiority of our method. We show for two selected problems that the error is of magnitudes lower compared to XFEM simulations.

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