Material Point Method Calculations with Explicit Cracks

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 dis...

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Bibliographic Details
Published in:Computer modeling in engineering & sciences 2003, Vol.4 (6), p.649
Main Author: Nairn, J A
Format: Article
Language:English
Subjects:
Algorithms
Cracks
Finite element method
Mathematical analysis
Two dimensional models
Velocity distribution
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Summary: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.
ISSN:1526-1492
1526-1506
DOI:10.3970/cmes.2003.004.649