A structural analysis with crack problems by Reproducing Kernel Particle Methods
  Revised:March 09, 2003
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DOI:10.7511/jslx20046132
KeyWord:structural analysis,meshless methods,finite element methods,discontinuity,crack
Gao Zhengguo~
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Abstract:
      This paper is aimed at presenting a Reproducing Kernel Particle Method (RKPM) for structure analysis on a body with cracks modeled. Discontinuous approximations, visibility criterion and diffraction method are applied to the Reproducing Kernel Particle Method (RKPM) for construction of functions around the crack of a discontinuity in this paper. And the method allows for modeling of arbitrarily cracks without any fine meshing work around all cracks as in FEM. An Object-Oriented computation program has been achieved for stress analysis in 2D and 3D filed with crack modeled. In program design, the operation of solid body discretization is not depending on the construction process of crack surface mesh. The paper concludes with two simple examples demonstrating the computational efficiency of RKPM for discontinuous problems in 2D and 3D filed.