上海交通大学学报 ›› 2003, Vol. 37 ›› Issue (12): 1905-1909.doi: 10.16183/j.cnki.jsjtu.2003.12.022

所属专题: 王建华教授学报发文专辑

• •    下一篇

压剪应力作用下复杂形状多裂纹应力强度因子

周小平1,2(), 张永兴2, 王建华1, 哈秋聆2   

  1. 1.上海交通大学建筑工程与力学学院,上海  200030
    2.重庆大学土木工程学院,重庆  400045
  • 收稿日期:2002-09-08 出版日期:2003-12-01 发布日期:2021-04-25
  • 作者简介:周小平(1970-),男,江西瑞金人,博士,副教授,现主要从事岩土工程的科研和教学工作.电话(Tel.): 023-65405987; E-mail: zhouxiaopinga@sina.com.
  • 基金资助:
    国家自然科学基金资助项目(59879012)

The Influence of Interaction of Complex Multicracks on Stress Intensity Factors

ZHOU Xiao-ping1,2(), ZHANG Yong-xing2, WANG Jian-hua1, HA Qiu-ling2   

  1. 1.School of Civil Eng. and Mechanics, Shanghai Jiaotong Univ. , Shanghai 200030, China
    2.School of Civil Eng. , Chongqing Univ. , Chongqing 400045
  • Received:2002-09-08 Online:2003-12-01 Published:2021-04-25

摘要:

探讨了压剪条件下复杂形状裂隙间的相互作用对应力强度因子的影响.利用裂纹孤立原理将原始问题分解为5个只含单一直裂纹的问题.根据裂纹表面应力自由的边界条件,利用伪力的Legendre多项式展开和连续分布位错使相互作用裂隙边界条件得以满足,最后推导了第1种Cauchy型和第1种Fredholm型奇异积分方程.该方法可以解决弯折裂纹、周期性排列的裂纹相互作用对应力强度因子的影响.数值结果表明,本文解与精确解、BEM解吻合较好,表明本方法是正确、可行的.

关键词: 应力强度因子, 裂隙, 相互作用

Abstract:

An extremly accurate and efficient numerical method for solving the problem was presented, which is mainly by means of the crack isolating analysis technique, stress superposition principle, the Legendre polynomial expansion of the pseudo-traction as well as the segmental average collocation technique. The singular equations of the Cauchy type and Fredholm integral equations of the first type were deduced. In the process of dealing with the superposition of infinite number of kinked cracks, the crack boundary conditions are satisfied. Many complex computing examples were given, and for some typical examples, numerical results were compared with the analytic solutions and the numerical solutions obtained by a boundary element method. The numerical results show that the stress intensity factors depend on the crack configuration, and on the geometrical and physical parameters.

Key words: stress intensity factors, crack, interaction

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