物质点法的理论和应用

廉艳平; 张帆; 刘岩; 张雄

doi:10.6052/1000-0992-12-122

物质点法的理论和应用

doi: 10.6052/1000-0992-12-122

清华大学航天航空学院, 北京 100084

基金项目: 国家自然科学基金项目(11272180, 11102097)和国家重点基础研究发展计划项目(2010CB832701)资助

详细信息

作者简介:
张雄, 清华大学航天航空学院教授、博士生导师. 2004 年入选教育部首批新世纪优秀人才支持计划, 获教育部自然科学奖二等奖(2009, 第一获奖人) 和一等奖(2008, 第六获奖人)、北京市教育创新标兵(2003)、北京市高等教育教学成果奖二等奖(2004)、ICACM Fellows Award (2011, 台北) 等奖励.

通讯作者:
张雄

中图分类号: O242
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出版历程
- 收稿日期: 2012-12-24
- 修回日期: 2013-03-21
- 刊出日期: 2013-03-25

Material point method and its applications

School of Aerospace, Tsinghua University, Beijing 100084, China

Funds: This project was supported by National Nature Science Foundation of China (11272180,11102097), and National Basic Research Program of China (2010CB832701)

More Information

Corresponding author: ZHANG Xiong

摘要

摘要: 物质点法采用质点离散材料区域, 用背景网格计算空间导数和求解动量方程,避免了网格畸变和对流项处理, 兼具拉格朗日和欧拉算法的优势, 非常适合模拟涉及材料特大变形和断裂破碎的问题. 本文详细论述了物质点法在基本理论、算法和软件开发方面的进展, 包括广义插值物质点法、接触算法、自适应算法、并行算法、与其他算法的杂交和耦合等. 系统地总结了物质点法在超高速碰撞、冲击侵彻、爆炸、动态断裂、流固耦合、多尺度分析、颗粒材料流动和岩土失效等一系列涉及材料特大变形问题中的应用,展示了其相对于传统数值计算方法的优势.
- 无网格法 /
- 物质点法 /
- 冲击侵彻 /
- 爆炸 /
- 特大变形
Abstract: Material point method (MPM) discretizes the material domain by particles, and solves the momentum equations on a predefined background mesh. MPM avoids mesh entanglement and involving convection term, by taking advantages of both the Lagrangian and the Eulerian methods. So it is very promising in the numerical simulation of problems involving extreme material deformation and fracture. The state of the art of the theory, the algorithm development and implementation, and the software development of material point method are reviewed in detail. The generalized material point method, the contact algorithm, the adaptive algorithm, the parallel algorithm, and the coupling with other methods are included. Applications of MPM to the problems involving extreme material deformation, such as hypervelocity impact, penetration, explosion, dynamic fracture, fluid-structure interaction, multiscale analysis, and granular material flow and rock and soil failure, are investigated systematically. The applications demonstrate the advantages of MPM over conventional numerical methods.
- meshless/meshfree method /
- material point method /
- impact and penetration /
- explosion /
- extreme deformation

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