线弹性正交异性复合材料板Ⅰ、Ⅱ型裂纹尖端的J积分
On J-Integrals Near Models Ⅰ, Ⅱ Crack Tips in the Plates of Orthotropic Composite Material
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摘要: 本文借助于复变函数方法,通过将J积分化为复形式,首先证明了线弹性正交异性复合材料板Ⅰ、Ⅱ型裂纹尖端附近的J积分的路径无关性,继而推出了该J积分在Δ<0和Δ>0两种情况下的计算公式.这对于将J积分应用于复合材料平面断裂的理论研究和实验校核中去,具有一定的参考价值.Abstract: In this paper,we prove the independence of the path of the imegrals near model Ⅰ Ⅱ track tips in the plate of the orthotropic composite material.Then we derive the computing formulae of the J-integrals at the cases of and by using a complex variable method and redueing J-imegrals to compley farm The J-integral computational formulae derived this paper have certain reference value for the theoretical researches and the experimental verifications in the plane fracture for composite material.
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[1] Corten,H.T.,Fracture mechanics of composites,Fracture(Liebowitz,H.,Ed),7,Academic Press,New York,(1972). [2] 杨维阳、张少琴,关于复合材料单层板I型裂纹尖端应力场的的探讨,太原重型机械学院学报.3(1986). [3] 杨维阳、张少琴,关于复合材料单层板I型裂纹尖端附近应变场和位移场的探讨,太原重型机械学院学报,1(1987年). [4] 杨维阳,张少琴,复合材料单层板I型裂纹尖端附近应力场、应变场和位移场的解析解,太原重型机械学院学报,2(1988). [5] 李濒 、陈树坚、郭碧坚.《断型力学与有合材料为学》.华中下学院出版社(1986). [6] Rice,J.R.,A path-independent integral and the approximate analysis of strain concentrations by notches and cracks,J.Applied Mechanics,35,2(1968),379． -
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