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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