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A Lagrangian-extended finite-element method in modeling large-plasticity deformations and contact problems

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

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijmecsci.2009.03.012
  3. Publisher: 2009
  4. Abstract:
  5. In this paper, a Lagrangian-extended finite-element (FE) method is presented in modeling large-plasticity deformations and contact problems. The technique is used to model arbitrary interfaces in two-dimensional (2D)/three-dimensional (3D) large deformations. The material interfaces are represented independent of the FE mesh and the process is accomplished by integrating enriched elements with a larger number of Gauss points, whose positions are fixed in the element. The large elasto-plastic deformation formulation is employed within the eXtended Finite-Element Method (X-FEM) framework to simulate the nonlinear behavior of materials. The interface between two bodies is modeled by using the X-FEM technique and applying modified level set and Heaviside enrichment functions. Finally, several numerical examples of arbitrary material interfaces are modeled to demonstrate the efficiency of the Lagrangian X-FEM technique in large deformation of plasticity and contact problems. © 2009 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Lagrangian model ; Large deformation ; Level set method ; Contact modeling ; Deformation ; Drop breakup ; Lagrange multipliers ; Level measurement ; Plasticity ; Three dimensional ; Finite element method
  8. Source: International Journal of Mechanical Sciences ; Volume 51, Issue 5 , 2009 , Pages 384-401 ; 00207403 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0020740309000563