摘要
本文采用复变函数方法和微积分理论两种途径探讨线弹性正交异性复合材料板复合型裂纹尖端的J积分,得到了该J积分在△>0和△<0两种情况下的表示式,证明了它们的路径无关性,推出了它们的计算公式.
By the complex variable method and calculus theory,the J-integral of the crack tip of mixed mode for undirectional plate of linear elastic orthotropic composites is analysed. The complex form and real form of the J-integrals in two cases of △>0 and △<0 are obtained. Their path independence is proved,and their computing formula are derived.
出处
《应用数学》
CSCD
北大核心
1993年第4期417-424,共8页
Mathematica Applicata
关键词
J积分
裂纹
复合材料
板
正交异性
J-integral
Cauchy-Goursat basic theorem
Green formula
Mixed mode crack
Composite material
