Modeling Holes and Inclusions by Level Sets in the Extended ®nite-element Method

Abstract

A methodology to model arbitrary holes and material interfaces (inclusions) without meshing the internal boundaries is proposed. The numerical method couples the level set method (In the X-FEM, the ®nite-element approximation is enriched by additional functions through the notion of partition of unity. The level set method is used for representing the… (More)

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@inproceedings{Sukumar2001ModelingHA, title={Modeling Holes and Inclusions by Level Sets in the Extended ®nite-element Method}, author={N. Sukumar and David L. Chopp and N Mo Es C and Ted Belytschko and Stanley Osher and James A. Sethian}, year={2001} }