Numerical analysis of growing crack problems using particle discretization scheme

作者：Wijerathne M L L; Oguni Kenji; Hori Muneo^*

来源：International Journal for Numerical Methods in Engineering, 2009, 80(1): 46-73.

DOI：10.1002/nme.2620

• particle discretization scheme
• brittle failure in 3D
• rotational degree of freedom
• discrete physics
• stress intensity factor

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.

• 出版日期2009-10-1