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建立了固体推进剂/衬层界面裂纹的指数型分层界面层模型,该模型将界面层划分为多个子层,并在每一子层中用指数函数表示界面层初始模量的分布。应用Fourier变换方法推导出一个Cauchy型奇异积分方程组,采用配点数值方法得到平面应力状态下裂纹问题的半解析解,并讨论了法向和剪切应力加载下界面层参数对应力强度因子的影响。结果表明,界面层模量降低时,应力强度因子的绝对值显著减小;界面层厚度对应力强度因子的影响相对不明显。
An exponential layered interface model of solid propellants / liner interface cracks is established. The model divides the interface layer into several sublayers and expresses the distribution of the initial modulus of the interface layer by exponential function in each sublayer. A set of Cauchy-type singular integral equations is derived by using the Fourier transform method. The semi-analytical solutions of the crack problems in the plane stress state are obtained by using the matching point numerical method. The influence of the interface layer parameters on the stress intensity factor under normal and shear stress loadings is also discussed . The results show that the absolute value of stress intensity factor decreases obviously when the interfacial layer modulus decreases; the influence of interfacial layer thickness on the stress intensity factor is relatively insignificant.