期刊文献+

一种求解圆弧裂纹问题的新方法 被引量:5

A New Method for Solving Circular Arc Crack Problems
在线阅读 下载PDF
导出
摘要 提出求解圆弧裂纹问题的新方法.无限大平面弹性体的某一圆周上分布有若干条圆弧裂纹,不论无穷远处是否受力都可化成求解一个复势函数边值条件的线性关系问题.利用这一方法,可以很简便地求得无穷远处受双轴拉伸时圆弧裂纹问题的精确解,进而求出应力强度因子和位移场,并可求出圆弧裂纹面上的位移. A new method for solving circular arc crack problems is proposed. If there are some cracks in the same circular arc in an infinite plane elastic body, no matter whether the stresses vanish at infinity or not, the problems are reduced to a problem of linear relationship of the boundary value. Using this method, the problem with a circular arc crack under uniform biaxial load at infinity can be solved conveniently and accurately. Furthermore, the displacements on the crack surface and the stress intensity factors at the crack tips are obtained.
出处 《北京理工大学学报》 EI CAS CSCD 北大核心 2006年第8期661-663,692,共4页 Transactions of Beijing Institute of Technology
关键词 Westergaard方法 复变函数法 圆弧裂纹问题 Riemann—Hilbert问题 应力强度因子 Westergaard method complex variable method circular arc crack problem Riemann- Hilbert problem stress intensity factors
  • 相关文献

参考文献4

  • 1Erdogan F. Stress intensity factors [J ]. J Appl Mech,1983, 50: 992-1002.
  • 2Muskhelishvili N I. Some basic problems of mathematical theory of elasticity[M]. Groningen, Holland: P. Noordhoff, 1953.
  • 3Shen Dawei, Fan Tianyou. Semi-inverse method for solving circular arc crack problems [J ]. Eng Frac Mech,2004, 71 : 1705 - 1724.
  • 4Tada H, Paris P C, Irwin G R. The stress analysis of cracks handbook[M]. 3rd ed. New York: ASME, 2000.

同被引文献40

  • 1杨伯源.映射函数法求方形孔口角点裂纹的应力强度因子[J].固体力学学报,1996,17(3):200-206. 被引量:5
  • 2葛龙桂,赵晗.08Cr_2AlMo钢低倍星状裂纹分析[J].物理测试,2005,23(6):32-35. 被引量:5
  • 3陈宜周,李福林,林筱云.椭圆孔口端点和裂纹端点处的变动态应力分析[J].固体力学学报,2005,26(4):473-476. 被引量:9
  • 4匡震邦 马法尚.裂纹端部场[M].西安:西安交通大学出版社,2002..
  • 5Muskhelishvili N I. Some Basic Problems of Mathe- matical Theory of Elasticity [M]. Gorningen, Holland : P Noordhoff, 1953.
  • 6徐芝纶.弹性力学(上册)[M].北京:高等教育出版社,1985:118-160.
  • 7Sen Dawei,Fan Tianyou. Exact solutions of two semi-infinite collinear cracks in a strip [ J ]. Engineering Fracture Mechanics, 2003,70 : 813-822.
  • 8Hacebe N, Yoshikawa K, Ueda M, Nakamura T. Planes elastic solution for the second mixed boundary value problem and its application[J]. Archive of Applied Mechanics, 1994,64 : 295-306.
  • 9曾芸芸.带裂纹的圆形孔口问题的复变函数解法[D].北京:北京理工大学,2006:7-9.
  • 10Tada H,Paris P C,Irwin G R. The Stress Analysis of Cracks Handbook[M]. Hellertown,Pennsylvania: Del Research Corporation, 1973.

引证文献5

二级引证文献35

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部