期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 231, 期 16, 页码 5351-5373出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2012.04.032
关键词
Material point method; Locking; Meshfree methods; Particle methods
资金
- NSF [CMMI-0900318]
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [0900318] Funding Source: National Science Foundation
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.
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