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三维无限接合体双材料多界面裂纹的超奇异微积分方程法

徐春晖 秦太验 袁丽 野田尚昭

徐春晖, 秦太验, 袁丽, 野田尚昭. 三维无限接合体双材料多界面裂纹的超奇异微积分方程法[J]. 应用数学和力学, 2009, 30(3): 282-290.
引用本文: 徐春晖, 秦太验, 袁丽, 野田尚昭. 三维无限接合体双材料多界面裂纹的超奇异微积分方程法[J]. 应用数学和力学, 2009, 30(3): 282-290.
XU Chun-hui, QIN Tai-yan, YUAN Li, Noda Nao-Aki. Analysis of Multiple Interfacial Cracks in Three Dimensional Bimaterials Using Hypersingular Integral-Differential Equation Method[J]. Applied Mathematics and Mechanics, 2009, 30(3): 282-290.
Citation: XU Chun-hui, QIN Tai-yan, YUAN Li, Noda Nao-Aki. Analysis of Multiple Interfacial Cracks in Three Dimensional Bimaterials Using Hypersingular Integral-Differential Equation Method[J]. Applied Mathematics and Mechanics, 2009, 30(3): 282-290.

三维无限接合体双材料多界面裂纹的超奇异微积分方程法

基金项目: 国家自然科学基金资助项目(10872213)
详细信息
    作者简介:

    徐春晖(1971- ),女,辽宁人,副教授,博士(联系人.Tel:+86-10-62736992;E-mail:xuchunhui_cau@163.com).

  • 中图分类号: O346.1

Analysis of Multiple Interfacial Cracks in Three Dimensional Bimaterials Using Hypersingular Integral-Differential Equation Method

  • 摘要: 利用有限部积分的概念,导出了三维无限接合体中多个界面裂纹,在任意载荷作用下的超奇异微积分方程组.数值分析中,未知的位移间断采用基本分布函数和多项式乘积的形式来近似,其中基本分布函数是根据界面裂纹应力的振荡奇异性来选取的.作为典型算例,研究了存在两个矩形界面裂纹时,裂纹之间距离、裂纹形状及双材料弹性常数对应力强度因子的影响.计算表明,应力强度因子随裂纹间的距离的增大而减小.
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    [15] 徐春晖,野田尚昭,高濑康.せん断荷重下における[FJF]. 种[FJ]. 接合半[FJF]. 无[FJ]. 限体中の界面き裂の力大数の解析[J].日本械学会论文集,2007,73(731):768-774.
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出版历程
  • 收稿日期:  2008-09-28
  • 修回日期:  2009-02-06
  • 刊出日期:  2009-03-15

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