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New development in extended finite element modeling of large elasto-plastic deformations

Anahid, M ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1002/nme.2281
  3. Publisher: 2008
  4. Abstract:
  5. This paper presents new achievements in the extended finite element modeling of large elasto-plastic deformation in solid problems. The computational technique is presented based on the extended finite element method (X-FEM) coupled with the Lagrangian formulation in order to model arbitrary interfaces in large deformations. In X-FEM, the material interfaces are represented independently of element boundaries, and the process is accomplished by partitioning the domain with some triangular sub-elements whose Gauss points are used for integration of the domain of elements. The large elasto-plastic deformation formulation is employed within the X-FEM framework to simulate the non-linear behavior of materials. The interface between two bodies is modeled by using the X-FEM technique and applying the Heaviside-and level-set-based enrichment functions. Finally, several numerical examples are analyzed, including arbitrary material interfaces, to demonstrate the efficiency of the X-FEM technique in large plasticity deformations. Copyright © 2008 John Wiley & Sons, Ltd
  6. Keywords:
  7. Coupled circuits ; Deformation ; Elastoplasticity ; Materials science ; Plastic deformation ; Plastics ; Computational techniques ; Elasto-plastic ; Elasto-plastic deformation ; Extended FEM ; Extended finite element ; Extended finite element method ; FEM framework ; Gauss points ; Heaviside ; Lagrangian formulation ; Lagrangian formulations ; Large deformation ; Large deformations ; Level sets ; Material interfaces ; Non-linear behaviors ; Numerical examples ; Partition of unity ; Finite element method
  8. Source: International Journal for Numerical Methods in Engineering ; Volume 75, Issue 10 , 21 January , 2008 , Pages 1133-1171 ; 00295981 (ISSN)
  9. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.2281