正交异性复合材料板裂纹尖端J积分的理论探讨

Theoretical Research of Crack Tip J-integral for Orthotropic Composite Plate

本文对线弹性正交异性复合材料单层板裂纹尖端附近的J积分进行了系统的理论研究。借助于复变函数方法 ,通过将J积分化为复形式 ,首先证明了弹性主方向的Ⅰ型、Ⅱ型、混合型裂纹尖端附近的J积分的路径无关性 ,推出了该J积分的计算公式。其次对于非弹性主方向的受对称载荷作用。

The theory of J integral near cack tip in the plate of linear elastic orthotropic composite material are systematically studied in this paper. By using a complex function method and changing J integral to complex form,the path independence of J integral near I mode, Ⅱ mode and mixed mode crack tips in principal elasticity direction were proved, and the computing formulae of the J integral were derived. Then ,the corresponding results of J Integral near crack tip subjected to symmetric loading and skew symmetric loading in non principal elasticity directions are given.