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Dynamic fracture with meshfree enriched XFEM

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Abstract

The enrichment of the extended finite element method (XFEM) by meshfree approximations is studied. The XFEM allows for modeling arbitrary discontinuities, but with low order elements the accuracy often needs improvement. Here, the meshfree approximation is used as an enrichment in a cluster of nodes about the crack tip to improve accuracy. Several numerical examples show that this leads to more accuracy for stress intensity factors computations, and to the capability to capture the branching point of a propagating crack from the stresses.

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Authors and Affiliations

  1. Theoretical and Applied Mechanics, Northwestern University, Evanston, IL, 60208-3111, USA

    Thomas Menouillard & Ted Belytschko

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  1. Thomas Menouillard
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  2. Ted Belytschko
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Correspondence to Thomas Menouillard.

Additional information

The authors gratefully acknowledge the support of the Army Research Office through Grant W911NF-08-1-0212 and the Office of Naval Research through Grant N00014-08-1-1191.

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Menouillard, T., Belytschko, T. Dynamic fracture with meshfree enriched XFEM. Acta Mech 213, 53–69 (2010). https://doi.org/10.1007/s00707-009-0275-z

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