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- W1569122180 abstract "Frictional contact is often observed in the problems with the presence of crack surface. In order to take effects of contact of crack surfaces on the structural response, in the framework of mesh-based approaches, e.g. Finite Element Method (FEM) or Boundary Element Method (BEM), usually the contact surfaces need to be discretized and nodes are placed on the contact surfaces, although the meshes for both contact surfaces are not necessary to be matched with each other. However, the crack surface will evolve under loading, so remeshing is needed to make the meshes consistent with the geometry of crack surfaces. In this paper, we deal with the frictional contact problems resulting from presence of crack surfaces by combining the eXtended Finite Element Method (XFEM) and B-Differential Equation Method (BDEM). XFEM is used to model the discontinuities of displacement fields in the interior of the elements without the need for the remeshing of the domain. In BDEM, the normal and tangential contact conditions are formulated as B-differentiable equations and satisfied accurately. The B-differentiable Newton solution strategy with the good convergence performance is employed to solve with system equations. The Numerical examples including 2D and 3D frictional contact problems are given to demonstrate the effectiveness and accuracy of the presented approach." @default.
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- W1569122180 date "2013-10-19" @default.
- W1569122180 modified "2023-09-23" @default.
- W1569122180 title "The eXtended Finited Element Method for frictional contact problem" @default.
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