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求解双材料裂纹结构全域应力场的扩展边界元法

李聪 牛忠荣 胡宗军 胡斌 程长征

李聪, 牛忠荣, 胡宗军, 胡斌, 程长征. 求解双材料裂纹结构全域应力场的扩展边界元法[J]. 应用数学和力学, 2019, 40(8): 926-937. doi: 10.21656/1000-0887.400013
引用本文: 李聪, 牛忠荣, 胡宗军, 胡斌, 程长征. 求解双材料裂纹结构全域应力场的扩展边界元法[J]. 应用数学和力学, 2019, 40(8): 926-937. doi: 10.21656/1000-0887.400013
LI Cong, NIU Zhongrong, HU Zongjun, HU Bin, CHENG Changzheng. Computation of Total Stress Fields for Cracked Bi-Material Structures With the Extended Boundary Element Method[J]. Applied Mathematics and Mechanics, 2019, 40(8): 926-937. doi: 10.21656/1000-0887.400013
Citation: LI Cong, NIU Zhongrong, HU Zongjun, HU Bin, CHENG Changzheng. Computation of Total Stress Fields for Cracked Bi-Material Structures With the Extended Boundary Element Method[J]. Applied Mathematics and Mechanics, 2019, 40(8): 926-937. doi: 10.21656/1000-0887.400013

求解双材料裂纹结构全域应力场的扩展边界元法

doi: 10.21656/1000-0887.400013
基金项目: 国家自然科学基金(11272111;11772114)
详细信息
    作者简介:

    李聪(1989—),女,博士生(E-mail: 478617661@qq.com);牛忠荣(1957—),男,教授(通讯作者. E-mail: niuzr@hfut.edu.cn).

  • 中图分类号: O343.1

Computation of Total Stress Fields for Cracked Bi-Material Structures With the Extended Boundary Element Method

Funds: The National Natural Science Foundation of China(11272111;11772114)
  • 摘要: 在线弹性理论中,复合材料裂纹尖端具有多重应力奇异性,常规数值方法不易求解.该文建立的扩展边界元法(XBEM)对围绕尖端区域位移函数采用自尖端径向距离r的渐近级数展开式表达,其幅值系数作为基本未知量,而尖端外部区域采用常规边界元法离散方程.两方程联立求解可获得裂纹结构完整的位移和应力场.对两相材料裂纹结构尖端的两个材料域分别采用合理的应力特征对,然后对其进行计算,通过计算结果的对比分析,表明了扩展边界元法求解两相材料裂纹结构全域应力场的准确性和有效性.
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出版历程
  • 收稿日期:  2019-01-03
  • 修回日期:  2019-05-17
  • 刊出日期:  2019-08-01

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