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裂纹群应力强度因子分析的广义参数有限元法

徐华 徐德峰 杨绿峰

徐华, 徐德峰, 杨绿峰. 裂纹群应力强度因子分析的广义参数有限元法[J]. 应用数学和力学, 2016, 37(10): 1039-1049. doi: 10.21656/1000-0887.370050
引用本文: 徐华, 徐德峰, 杨绿峰. 裂纹群应力强度因子分析的广义参数有限元法[J]. 应用数学和力学, 2016, 37(10): 1039-1049. doi: 10.21656/1000-0887.370050
XU Hua, XU De-feng, YANG Lü-feng. A Finite Element Method With Generalized DOFs for Stress Intensity Factors of Crack Groups[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1039-1049. doi: 10.21656/1000-0887.370050
Citation: XU Hua, XU De-feng, YANG Lü-feng. A Finite Element Method With Generalized DOFs for Stress Intensity Factors of Crack Groups[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1039-1049. doi: 10.21656/1000-0887.370050

裂纹群应力强度因子分析的广义参数有限元法

doi: 10.21656/1000-0887.370050
基金项目: 国家自然科学基金(51268003;51478125); 广西自然科学基金(2012GXNSFEA053002;2013GXNSFBA019257)
详细信息
    作者简介:

    徐华(1979—),男,副教授,博士(E-mail: xuhua@gxu.edu.cn);杨绿峰(1966—),男,教授,博士,博士生导师(通讯作者. E-mail: lfyang@gxu.edu.cn).

  • 中图分类号: O346.1

A Finite Element Method With Generalized DOFs for Stress Intensity Factors of Crack Groups

Funds: The National Natural Science Foundation of China(51268003;51478125)
  • 摘要: 利用广义参数有限元法直接求解了裂纹群裂尖应力强度因子.首先根据改进的Williams级数建立典型裂尖奇异区Williams单元,然后通过分块集成形成求解域整体刚度方程,进一步利用Williams级数的待定系数直接确定各裂尖应力强度因子,最后通过算例分析研究了裂纹间距、裂纹与X轴夹角等参数对计算结果的影响.结果表明,该文方法能够有效克服断裂分析的传统有限元法的缺陷,具有更高的计算精度和效率.而且对于含有多条等长共线水平裂纹的无限大板,当相邻裂纹间距与裂纹半长之比大于9时,可忽略裂纹之间的相互影响,按照单裂纹进行计算;对于沿Y轴对称分布的偶数条等长斜裂纹的无限大板,随着裂纹与X轴夹角的增大,K逐渐减小,K先增大后减小.
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出版历程
  • 收稿日期:  2016-02-16
  • 修回日期:  2016-09-11
  • 刊出日期:  2016-10-15

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