Dynamic brittle fracture with eigenerosion enhanced material point method

Summary This article proposes an approach to resolve the dynamic fracture of brittle materials by incorporating eigenerosion into the material point method (MPM) framework. The eigenerosion approach links the crack propagation to energy conservation based on the variational theory of fracture mechan...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2020-09, Vol.121 (17), p.3768-3794
Main Authors: Zhang, Kun, Shen, Shui‐Long, Zhou, Annan
Format: Article
Language:English
Subjects:
Brittle fracture
Brittle materials
Crack propagation
eigenerosion approach
Energy conservation
Energy release rate
Fracture mechanics
material point method
phantom‐node method
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Summary:Summary This article proposes an approach to resolve the dynamic fracture of brittle materials by incorporating eigenerosion into the material point method (MPM) framework. The eigenerosion approach links the crack propagation to energy conservation based on the variational theory of fracture mechanics. This idea closely resembles the conventional treatment for the phase‐field method. The major difference is that the effective energy release rate of each particle that controls the crack propagation is only calculated within its neighborhood domain for the eigenerosion approach. Because evaluation of the material's fracture behavior can be decoupled from the governing equations as a separate solution step, the eigenerosion scheme allows straightforward implementation into any standard MPM solver with minor modifications. In addition, a phantom‐node method is employed to handle the preexisting crack. With these settings, the proposed model can capture complex fracture behaviors. Several representative benchmark tests demonstrate the efficiency and validity of the proposed model.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.6381