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多裂纹问题计算分析的本征COD边界积分方程方法

郭钊 郭子涛 易玲艳

郭钊, 郭子涛, 易玲艳. 多裂纹问题计算分析的本征COD边界积分方程方法[J]. 应用数学和力学, 2019, 40(2): 200-209. doi: 10.21656/1000-0887.390183
引用本文: 郭钊, 郭子涛, 易玲艳. 多裂纹问题计算分析的本征COD边界积分方程方法[J]. 应用数学和力学, 2019, 40(2): 200-209. doi: 10.21656/1000-0887.390183
GUO Zhao, GUO Zitao, YI Lingyan. Analysis of Multicrack Problems With Eigen COD Boundary Integral Equations[J]. Applied Mathematics and Mechanics, 2019, 40(2): 200-209. doi: 10.21656/1000-0887.390183
Citation: GUO Zhao, GUO Zitao, YI Lingyan. Analysis of Multicrack Problems With Eigen COD Boundary Integral Equations[J]. Applied Mathematics and Mechanics, 2019, 40(2): 200-209. doi: 10.21656/1000-0887.390183

多裂纹问题计算分析的本征COD边界积分方程方法

doi: 10.21656/1000-0887.390183
基金项目: 国家自然科学基金(11662005);江西省青年科学基金(2016BAB211001)
详细信息
    作者简介:

    郭钊(1986—),男,讲师,博士(通讯作者. E-mail: guozhao@shu.edu.cn).

  • 中图分类号: O341

Analysis of Multicrack Problems With Eigen COD Boundary Integral Equations

Funds: The National Natural Science Foundation of China(11662005)
  • 摘要: 针对多裂纹问题,若采用常规的数值求解技术,计算效率较低.为实现多裂纹问题的大规模数值模拟,建立了本征裂纹张开位移(crack opening displacement, COD)边界积分方程及其迭代算法,并引入Eshelby矩阵的定义,将多裂纹分为近场裂纹和远场裂纹来处理裂纹间的相互影响.以采用常单元作为离散单元的快速多极边界元法为参照,对提出的计算模型和迭代算法进行了数值验证.结果表明,本征COD边界积分方程方法在处理多裂纹问题时取得较大的改进,其计算效率显著高于传统的边界元法和快速多极边界元法.
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出版历程
  • 收稿日期:  2018-06-27
  • 修回日期:  2018-10-16
  • 刊出日期:  2019-02-01

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