[1]杜云海,郭同德..自由边半平面体裂纹问题的超奇异积分方程法[J].郑州大学学报(工学版),2003,24(01):28-31.[doi:10.3969/j.issn.1671-6833.2003.01.007]
　Du Yunhai,Guo Tongde.Super-singular integral equation method for free-edged half-planar crack problems[J].Journal of Zhengzhou University (Engineering Science),2003,24(01):28-31.[doi:10.3969/j.issn.1671-6833.2003.01.007]
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自由边半平面体裂纹问题的超奇异积分方程法()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
24
期数:
2003年01期
页码:
28-31
栏目:
出版日期:
1900-01-01

文章信息/Info

Title:
Super-singular integral equation method for free-edged half-planar crack problems
作者:
杜云海; 郭同德.
郑州大学工程力学系,河南,郑州,450002, 郑州大学工程力学系,河南,郑州,450002
Author(s):
Du Yunhai; Guo Tongde
关键词:
半平面;  裂纹;  超奇异积分方程;  应力强度因子
Keywords:
DOI:
10.3969/j.issn.1671-6833.2003.01.007
文献标志码:
A
摘要:
对自由边半平面平行于界面的裂纹问题进行了研究.根据自由边半平面弹性体的弹性力学基本解,利用换功定律、位移-应变关系、胡克定律及裂纹岸应力边界条件,得到描述该问题的超奇异积分方程组,并通过积分变换,在有限部积分的意义下建立了相应的数值方法.对裂纹面上作用均布力情况的算例表明,在自由边附近,即便裂纹面上单独作用法向力或切向力,Ⅰ、Ⅱ型应力强度因子也同时存在,并发生剧烈的变化.
Abstract:
The crack problem of the free side semiplane parallel to the interface was studied. According to the basic solution of elasticity of free-edge semiplanar elastomer, the super-singular integral equation system describing the problem is obtained by using the work exchange law, displacement-strain relationship, Hooke’s law and crack-shore stress boundary conditions, and the corresponding numerical method is established in the sense of finite partial integral through integral transformation. The example of the average distribution force on the crack surface shows that near the free edge, even if the normal force or tangential force is applied separately on the crack surface, the stress intensity factors of type I and II also exist at the same time and change drastically.

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更新日期/Last Update: 1900-01-01