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物质点法的理论和应用

廉艳平 张帆 刘岩 张雄

廉艳平, 张帆, 刘岩, 张雄. 物质点法的理论和应用[J]. 力学进展, 2013, 43(2): 237-264. doi: 10.6052/1000-0992-12-122
引用本文: 廉艳平, 张帆, 刘岩, 张雄. 物质点法的理论和应用[J]. 力学进展, 2013, 43(2): 237-264. doi: 10.6052/1000-0992-12-122
LIAN Yanping, ZHANG Fan, LIU Yan, ZHANG Xiong. Material point method and its applications[J]. Advances in Mechanics, 2013, 43(2): 237-264. doi: 10.6052/1000-0992-12-122
Citation: LIAN Yanping, ZHANG Fan, LIU Yan, ZHANG Xiong. Material point method and its applications[J]. Advances in Mechanics, 2013, 43(2): 237-264. doi: 10.6052/1000-0992-12-122

物质点法的理论和应用——

doi: 10.6052/1000-0992-12-122
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

Material point method and its applications

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: 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.

     

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  • 收稿日期:  2012-12-24
  • 修回日期:  2013-03-21
  • 刊出日期:  2013-03-25

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