Abstract: The bonded interfacial zone of solid propellant/liner was divided into three parts according to the shear modulus variability, therefore a tri-region interfacial zone model was developed for the interfacial debonded crack. Fourier integral transform and the transfer matrix method were used to derive a Cauchy singular integral equation and it could be solved numerically. A semi-analytical solution was obtained for the crack under antiplane shear conditions, and the effects of the interfacial zone’s moduli and thicknesses on the fracture parameters were discussed. The results show that when the interfacial zone’s modulus decreases with the storage time increases, the stress intensity factor decreases while the crack opening displacement almost keeps unchanged. The influence of the interfacial zone’s thicknesses on the stress intensity factors is not significant.

Key words: Propellant; Liner; Interfacial zone model; Tri-region; Crack; Singular integral equation

摘要： 将固体推进剂/衬层粘结界面层按照剪切模量的变化分成三部分,由此建立了其界面脱粘裂纹的三区域界面层模型。应用Fourier积分变换和传递矩阵方法,推导并数值求解Cauchy奇异积分方程,得到了反平面剪切状态下裂纹问题的半解析解,并讨论了界面层模量和厚度对断裂参量的影响。结果表明,界面层模量随贮存时间的延长而降低时,应力强度因子逐渐减小,但裂纹张开位移变化不大；界面层厚度对应力强度因子的影响则不明显。 

关键词: 推进剂;衬层;界面层模型;三区域;裂纹;奇异积分方程