Modeling of moving boundaries in large plasticity deformations via an enriched arbitrary Lagrangian-Eulerian FE method

Anahid, M ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. Publisher: 2010
  3. Abstract:
  4. In this paper, a new computational technique is presented for the modeling of moving boundaries in large plastic deformations based on an enriched arbitrary Lagrangian-Eulerian finite element method. An Arbitrary Lagrangian-Eulerian (ALE) technique is employed to capture the advantages of both Lagrangian and Eulerian methods and alleviate the drawbacks of mesh distortion in Lagrangian formulation. An enriched finite element method is implemented based on the extended FEM technique to capture the arbitrary interfaces independent of element boundaries. The process is accomplished by performing a splitting operator to separate the material (Lagrangian) phase from the convective (Eulerian) phase, and partitioning the Lagrangian and relocated meshes with some sub-quadrilaterals whose Gauss points are used for integration of the domain of elements. In order to demonstrate the efficiency of the enriched ALE finite element model in large deformations, several numerical examples including the coining problem with horizontal and vertical moving boundaries and a tensile plate with a moving interface are presented and the results are compared with those of the standard finite element and extended finite element methods
  5. Keywords:
  6. Arbitrary Lagrangian-Eulerian ; Enriched fem ; Godunov technique ; Large plasticity deformations ; Partition of unity ; ALE finite element ; Arbitrary Lagrangian-Eulerian ; Computational technique ; Enriched fem ; Enriched finite elements ; Eulerian ; Eulerian method ; Extended finite element method ; FE method ; FEM techniques ; Gauss point ; Lagrangian ; Lagrangian formulations ; Large deformations ; Large plastic deformation ; Mesh distortion ; Moving boundaries ; Moving interface ; Numerical example ; Partition of unity ; Standard finite element ; Deformation ; Lagrange multipliers ; Numerical methods ; Plasticity ; Finite element method ; civil engineering ; Eulerian analysis ; Finite element method ; Interface ; Lagrangian analysis ; plastic deformation
  7. Source: Scientia Iranica ; Volume 17, Issue 2 A , 2010 , Pages 141-160 ; 10263098 (ISSN)
  8. URL: http://archive.scientiairanica.com/PDF/Articles/00001253/khoei.pdf