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X-FEM modeling of large plasticity deformation; A convergence study on various blending strategies for weak discontinuities

Khoei, A. R ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1080/17797179.2015.1083516
  3. Publisher: Taylor and Francis Ltd , 2015
  4. Abstract:
  5. In the extended finite element method (FEM), the transition elements between the enriched and standard elements, which are generally referred as the blending, or partially enriched elements, are often crucial for a good performance of the local partition of unity enrichments. In these elements, the enrichment function cannot be reproduced exactly due to the lack of a partition of unity, and blending elements produce unwanted terms into the approximation that cannot be compensated by the standard final element part of the approximation. In this paper, some optimal X-FEM-type methods reported in literature are employed to study the performance of blending elements in large plastic deformation problems with weak discontinuities. Several numerical examples are solved using the standard X-FEM, the X-FEM with modified enrichment function, the hierarchical X-FEM and the corrected X-FEM technique, and the results are compared with an alternative intrinsic enrichment strategy in large deformation problems
  6. Keywords:
  7. large deformations ; weak discontinuities ; X-FEM model ; Blending ; Numerical methods ; Blending elements ; Deformation problems ; Enrichment functions ; Extended finite element method ; FEM modeling ; Large plastic deformation ; Modified enrichment ; Weak discontinuity ; Finite element method
  8. Source: European Journal of Computational Mechanics ; Volume 24, Issue 3 , 2015 , Pages 79-106 ; 17797179 (ISSN)
  9. URL: http://www.tandfonline.com/doi/abs/10.1080/17797179.2015.1083516