正交异性复合材料板界面裂纹尖端应力强度因子

Stress Intensity Factors near Interface Crack Tip of Two Dissimilar Orthotropic Composite Material

研究了两种不同的正交异性复合材料板受对称载荷作用的界面裂纹问题.据弹性力学理论、断裂力学知识,给出了该问题的力学模型:一类偏微分方程边值问题.通过引入特殊的应力函数,采用复变函数方法和待定系数法求解了八阶齐次线性方程组,推出了两种相异正交异性复合材料板的双材料弹性常数的计算公式,得到了受对称载荷作用的界面裂纹尖端应力强度因子的计算公式,给出了一个工程应用算例.其结果在相关断裂分析的理论研究与实际应用中具有重要的参考价值.

The interlaminar fracture between two dissimilar orthotropic composite materials interface crack problem subjected to symmetric loadings is studied. According to elastic mechanics theories and fracture mechanics knowledge, the mechanics models for boundary value problem to a class of partial differential equations are presented. By introducing special stress functions, we find solutions of eighth order homogeneous linear equation set with complex functions method and approach of undetermined coefficients, deduce calculation formulas of bi-material elastic constants for two dissimilar orthotropic composite materials. The expressions of stress intensity factors near finite interface crack tip subjected to symmetric loadings are derived. A engineering application numerical example is given. The results have certain referential value with respect to practical application and theorial study in related fracture analysis.