A singular cell-based smoothed radial point interpolation method for fracture problems

  • Authors:

  • G. R. Liu;Y. Jiang;L. Chen;G. Y. Zhang;Y. W. Zhang

  • Affiliations:

  • CEAS-Schl Aerospace Systems, Rhodes 733, 2851 Woodside Dr, Cincinnati, OH 45221, USA;Center for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576, Singapore;Center for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576, Singapore;Intelligent Systems for Medicine Laboratory, School of Mechanical Engineering, The University of Western Australia, 35 Stirling Highway, Crawley WA6009, Australia;Large-scale Complex Systems, Programme, Institute of High Performance Computing, 1 Fusionopolis Way, Connix, Singapore 138632, Singapore

  • Venue:
  • Computers and Structures
  • Year:
  • 2011

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Abstract

A cell-based smoothed radial point interpolation method (CS-RPIM) is developed for fracture problems. The strain smoothing is performed over background triangular cells. The stiffness matrix is calculated based on the weakened weak formulation, using shape functions obtained by radial point interpolation method. A layer of five-node singular elements are used to simulate the singularity around the crack tip. Different schemes are devised in the five-node elements to perform the strain smoothing. Several examples are presented to validate the newly developed method. The results are found in excellent agreement with the exact (or reference) solutions.