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Material Point Method Calculations with Explicit Cracks

J. A. Nairn1
Material Science and Engineering, University of Utah, Salt Lake City, Utah 84112, USA

Computer Modeling in Engineering & Sciences 2003, 4(6), 649-664. https://doi.org/10.3970/cmes.2003.004.649

Abstract

A new algorithm is described which extends the material point method (MPM) to allow explicit cracks within the model material. Conventional MPM enforces velocity and displacement continuity through its background grid. This approach is incompatible with cracks which are displacement and velocity discontinuities. By allowing multiple velocity fields at special nodes near cracks, the new method (called CRAMP) can model cracks. The results provide an ``exact'' MPM analysis for cracks. Comparison to finite element analysis and to experiments show it gets good results for crack problems. The intersection of crack surfaces is prevented by implementing a crack contact scheme. Crack contact can be modeled using stick or sliding with friction. All results are two dimensional, but the methods can be extended to three dimensional problems.

Keywords

Material point method, cracks, fracture, numerical methods, contact

Cite This Article

Nairn, J. A. (2003). Material Point Method Calculations with Explicit Cracks. CMES-Computer Modeling in Engineering & Sciences, 4(6), 649–664.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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