The stochastic investigation of fracture response of centrally cracked symmetric angle ply laminated composite plates subjected to different types of biaxially applied stresses by implementing stochastic extended finite element method (SXFEM) is carried out. The second-order perturbation technique is used in the framework of well-established extended finite element method to obtain the mean and coefficient of variance of mixed-mode stress intensity factors by random change in input parameters. The various system properties such as material elastic properties, lamination angle, loading, crack parameters like crack length and crack angle are modelled as independent, and they combine uncorrelated and correlated input random Gaussian variables. Typical numerical results are presented to examine the effect of various levels of uncertainties in biaxial load factors, fibre angle, crack eccentricity in X and/or Y direction, crack angles and crack lengths. The results obtained using SXFEM approach are compared with the results available in the published literature, and by performing Monte Carlo simulations, an excellent agreement is seen.

通过采用随机扩展有限元方法（SXFEM），对承受不同类型双轴应力的中心裂纹对称角夹层层压板的断裂响应进行了随机研究。在完善的扩展有限元方法框架内使用二阶摄动技术，通过输入参数的随机变化获得混合模式应力强度因子的均值和方差系数。系统将各种系统特性（例如材料弹性特性，层压角度，载荷，裂纹参数（如裂纹长度和裂纹角度））建模为独立模型，并将非相关和相关的输入随机高斯变量组合在一起。X和/或Y方向，裂纹角度和裂纹长度。将使用SXFEM方法获得的结果与已发表的文献中提供的结果进行比较，并且通过执行蒙特卡洛模拟，可以得出很好的一致性。