Three-Dimensional Dynamic Fracture Analysis Using the Material Point Method
Y. J. Guo; and J. A. Nairn

doi:10.3970/cmes.2006.016.141
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 16, No. 3, pp. 141-156, 2006
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Keywords Material point method, MPM. Three-dimensional dynamic fracture, Cracks, Dynamic J-integral, Dynamic stress intensity, Contact, Mode I, Mode II, Mode III.
Abstract This paper describes algorithms for three-dimensional dynamic stress and fracture analysis using the material point method (MPM). By allowing dual velocity fields at background grid nodes, the method provides exact numerical implementation of explicit cracks in a predominantly meshless method. Crack contact schemes were included for automatically preventing crack surfaces from interpenetration. Crack-tip parameters, dynamic$J$-integral vector and mode I, II, and III stress intensity factors, were calculated from the dynamic stress solution. Comparisons to finite difference method (FDM), finite element method (FEM), and boundary element method (BEM), as well as to static theories showed that MPM can efficiently and accurately solve three-dimensional dynamic fracture problems. Since the crack description is independent of the object description, MPM could be useful for simulation of three-dimensional dynamic crack propagation in arbitrary directions.
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