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Modeling Holes and Inclusions by Level Sets in the Extended ®nite-element Method
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sukumar, N. Chopp, David L. N. Mo Es C. Belytschko, Ted Osher, Stanley Sethian, James A. |
| Copyright Year | 2001 |
| 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 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 two-dimensional linear elastostatics are presented to demonstrate the accuracy and potential of the new technique. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://dilbert.engr.ucdavis.edu/~suku/xfem/papers/xfem_ls.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Approximation Convergence (action) Displacement mapping Elmer FEM solver Finite element method Gene Ontology Term Enrichment Inclusion Bodies Methyl bromide:MCnc:Pt:Air:Qn Numerical method Psychologic Displacement Rate of convergence |
| Content Type | Text |
| Resource Type | Article |