Numerical analysis of growing crack problems using particle discretization scheme

M. L.L. Wijerathne, Kenji Oguni, Muneo Hori

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)


This paper presents the particle discretization scheme (PDS) to analyze brittle failure of solids. The scheme uses characteristic functions of Voronoi and Delaunay tessellations to discretize a function and its derivatives, respectively. A discretized function has numerous discontinuities so that these discontinuities are utilized as a candidate of crack path segment in modeling propagating cracks, without making any extra computation to accommodate new displacement discontinuities. When the scheme is implemented to a finite element method (FEM), the resulting stiffness matrix coincides with the one that is obtained by using linear elements. The accuracy of computing a stress intensity factor at a crack tip is examined. It is shown that the accuracy is better than that of a FEM with linear elements when the rotational degree of freedom is included in discretizing displacement functions. Three three-dimensional growing crack problems are solved by means of the PDS and the results are presented.

Original languageEnglish
Pages (from-to)46-73
Number of pages28
JournalInternational Journal for Numerical Methods in Engineering
Issue number1
Publication statusPublished - 2009 Oct 1


  • Brittle failure in 3D
  • Discrete physics
  • Particle discretization scheme
  • Rotational degree of freedom
  • Stress intensity factor

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics


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