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A polygonal-FEM technique in modeling large sliding contact on non-conformal meshes: A study on polygonal shape functions

Khoei, A. R ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1108/EC-04-2014-0070
  3. Abstract:
  4. Purpose - In this paper, the polygonal-FEM technique is presented in modeling large deformation - large sliding contact on non-conformal meshes. The purpose of this paper is to present a new technique in modeling arbitrary interfaces and discontinuities for non-linear contact problems by capturing discontinuous deformations in elements cut by the contact surface in uniform non-conformal meshes. Design/methodology/approach - The geometry of contact surface is used to produce various polygonal elements at the intersection of the interface with the regular FE mesh, in which the extra degrees-of-freedom are defined along the interface. The contact constraints are imposed between polygonal elements produced along the contact surface through the node-to-surface contact algorithm. Findings - Numerical convergence analysis is carried out to study the convergence rate for various polygonal interpolation functions, including the Wachspress interpolation functions, the metric shape functions, the natural neighbor-based shape functions, and the mean value shape functions. Finally, numerical examples are solved to demonstrate the efficiency of proposed technique in modeling contact problems in large deformations. Originality/value - A new technique is presented based on the polygonal-FEM technique in modeling arbitrary interfaces and discontinuities for non-linear contact problems by capturing discontinuous deformations in elements cut by the contact surface in uniform non-conformal meshes
  5. Keywords:
  6. Polygonal-FEM ; Deformation ; Degrees of freedom (mechanics) ; Interpolation ; Arbitrary interfaces ; Contact constraint ; Contact problem ; Design/methodology/approach ; Discontinuous deformation ; Interpolation function ; Non-conformal meshes ; Numerical convergence ; Numerical methods
  7. Source: Engineering Computations (Swansea, Wales) ; Volume 32, Issue 5 , 2015 , Pages 1391-1431 ; 02644401 (ISSN)
  8. URL: http://www.emeraldinsight.com/doi/full/10.1108/EC-04-2014-0070