Modeling Holes and Inclusions by Level Sets in theExtended Finite Element
نویسندگان
چکیده
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 (Osher and Sethian, 1988) to the eXtended Finite Element Method (X-FEM) (Mo es et al., 1999). 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 location of holes and material interfaces, and in addition, the level set function is used to develop the local enrichment for material interfaces. Numerical examples in 2-dimensional linear elastostatics are presented to demonstrate the accuracy and potential of the new technique.
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