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Mitigating kinematic locking in the material point method
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DOI：10.1016/j.jcp.2012.04.032.png)
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摘要
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The material point method exhibits kinematic locking when traditional linear shape functions are used with a rectangular grid. The locking affects both the strain and the stress fields, which can lead to inaccurate results and nonphysical behavior. This paper presents a new anti-locking approach that mitigates the accumulation of fictitious strains and stresses, significantly improving the kinematic response and the quality of all field variables. The technique relies on the Hu-Washizu multi-field variational principle, with separate approximations for the volumetric and the deviatoric portions of the strain and stress fields. The proposed approach is validated using a series of benchmark examples from both solid and fluid mechanics, demonstrating the broad range of modeling possibilities within the MPM framework when combined with appropriate anti-locking techniques and algorithms. (C) 2012 Elsevier Inc. All rights reserved.
Keyword:
Material point method
Locking
Meshfree methods
Particle methods
期刊
IF:
3.8
论文数:
1.6W
被引数:
7.4W
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