Open Access

ARTICLE

Simulation of Fragmentation with Material Point Method Based on Gurson Model and Random Failure

Pengfei Yang¹, Yan Liu¹, Xiong Zhang^1,2, Xu Zhou³, Yuli Zhao³

1 School of Aerospace, Tsinghua University, Beijing 100084, China.
2 Corresponding author: xzhang@tsinghua.edu.cn
3 Beijing Institute of Special Engineering Design and Research, Beijing 100028, China.

Computer Modeling in Engineering & Sciences 2012, 85(3), 207-238. https://doi.org/10.3970/cmes.2012.085.207

Abstract

The material point method is extended to the simulations of fragmentation driven by detonation. A crack modeling scheme based on contact algorithm with material failure process is developed to study the dynamic crack propagation in plastic media. When considering microscopic damage of material, the plastic behavior is described by Gurson model with randomly-distributed initial void of material points. Gurson model can degenerate to J2 plastic theory while the microscopic void is ignored, in which situation the Weibull random failure scheme will be used. Meanwhile, a background-grid-based searching method is proposed to capture the statistical feature of the fragmentation. The scaling of the fragments in simulation tends to exhibit the same law as that in the experiment. It is found that the material point method possesses great potential for simulating high strain-rate, large deformation fragmentation phenomena.

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Keywords

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