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非对称载荷作用的Griffith裂纹问题的Fourier积分变换解法
FOURIER INTEGRAL TRANSFORM METHOD FOR GRIFFITH CRACK PROBLEM UNDER ASYMMETRICAL LOADS
【摘要】 本文使用Fourier积分变换,对非对称载荷作用下的Griffith裂纹问题进行了研究。利用裂纹两侧的位移和应力联结条件,将问题归结为一组带Cauchy核的奇异积分方程,通过Cauchy反演求得了问题的精确解,在此基础上.给出了其应力强度因子的表达式。该结果可作为基本解用于求解一般裂纹系问题。
【Abstract】 in this paper,by using Fourer integral transform,we try to investigate the problem of a Griffith crack loaded by asymmetrical distribution of surface tractions. According to the joined conditions of the crack.the problem can be reduced to a set of Cauchy singular integral equations,then the exact solutions is obtained by making use of Cauchy reversal operations,and the stress intensity factors are given.The results may be used as fundamental solutions to solve a general crack system of plane.
【关键词】 Griffith裂纹;
Fourier积分变换;
应力强度因子;
【Key words】 Griffith crack; Fourier integral transform; stress intensity factor.;
【Key words】 Griffith crack; Fourier integral transform; stress intensity factor.;
【基金】 河南省自然科学基金
- 【文献出处】 郑州工业大学学报 ,JOURNAL OF ZHENGZHOU UNIVERSITY OF TECHNOLOGY , 编辑部邮箱 ,1996年03期
- 【分类号】O29
- 【被引频次】2
- 【下载频次】72