A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM
A comparative study on finite elements for capturing strong discontinuities by means of elemental (E-FEM) or nodal enrichments (XFEM) is presented. Based on the same constitutive model (continuum damage) and linear elements (triangles and tetrahedra) optimized implementations of both types of enrich...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2006 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/26356 |
| Acesso em linha: | http://hdl.handle.net/11336/26356 |
| Access Level: | acceso abierto |
| Palavra-chave: | Finite Elements with Embedded Discontinuities E-Fem X-Fem Computational Material Failure Strong Discontinuities |
| Resumo: | A comparative study on finite elements for capturing strong discontinuities by means of elemental (E-FEM) or nodal enrichments (XFEM) is presented. Based on the same constitutive model (continuum damage) and linear elements (triangles and tetrahedra) optimized implementations of both types of enrichments in the same non-linear code are tested for a representative set of 2D and 3D crack propagation examples. It is shown that both methods provide the same qualitative and quantitative results for enough refined meshes. For the performed tests, E-FEM exhibited, in general, a higher accuracy, mostly for coarse meshes, whereas, convergence rate with mesh refinement, which is super-linear, showed slightly higher for X-FEM. As for the computational costs for single crack modelling X-FEM showed, depending on the case, from 1.1 to about 2.5 times more expensive than E-FEM. For multiple cracks, the computational cost of E-FEM keeps constant, whereas the cost associated to X-FEM increases linearly with the number of modelled cracks. |
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