Loading...

Three-dimensional data transfer operators in large plasticity deformations using modified-SPR technique

Khoei, A. R ; Sharif University of Technology | 2009

1284 Viewed
  1. Type of Document: Article
  2. DOI: 10.1016/j.apm.2008.10.033
  3. Publisher: 2009
  4. Abstract:
  5. In this paper, the data transfer operators are developed in 3D large plasticity deformations using superconvergent patch recovery (SPR) method. The history-dependent nature of plasticity problems necessitates the transfer of all relevant variables from the old mesh to new one, which is performed in three main stages. In the first step, the history-dependent internal variables are transferred from the Gauss points of old mesh to nodal points. The variables are then transferred from nodal points of old mesh to nodal points of new mesh. Finally, the values are computed at the Gauss points of new mesh using their values at nodal points. As the solution procedure, in general, cannot be re-computed from the initial configuration, it is continued from the previously computed state. In particular, the transfer operators are defined for mapping of the state and internal variables between different meshes. Aspects of the transfer operators are presented by fitting the best polynomial function with the C0, C1 and C2 continuity in 3D superconvergent patch recovery technique. Finally, the efficiency of the proposed model and computational algorithms is demonstrated through numerical examples. © 2008 Elsevier Inc. All rights reserved
  6. Keywords:
  7. Data transfer operator ; Large deformation ; Mapping of variables ; Modified-SPR technique ; Computational fluid dynamics ; Data transfer ; Deformation ; Error analysis ; Plasticity ; Three dimensional ; Computational algorithms ; Error estimator ; Gauss points ; Initial configurations ; Internal variables ; Large deformation ; Nodal points ; Numerical examples ; Polynomial functions ; Solution procedures ; Superconvergent patch recovery methods ; Superconvergent patch recovery techniques ; Three-dimensional datum ; Surface plasmon resonance
  8. Source: Applied Mathematical Modelling ; Volume 33, Issue 7 , 2009 , Pages 3269-3285 ; 0307904X (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0307904X08002862