Curing of epoxy resins poses a particular challenge in terms of modeling, experimental investigation, and numerical implementation, as it is a thermo-chemo-mechanical process. Several constitutive relations are required to model these processes, yielding numerous material parameters. The calibration of the constitutive relations must be performed using multiple steps, wherein uncertainties unavoidably propagate. In this study, we investigate the propagation of uncertainties during both the multi-step calibration procedure and the numerical simulation of curing processes with the identified parameters. For both, we employ the first-order second-moment method, which is carefully evaluated through coverage tests and by comparing it to the Monte Carlo method as a reference. It is demonstrated that the first-order second-moment method efficiently yields reasonable results, although providing only a first-order approximation of the highly nonlinear stochastic model response.

翻译：环氧树脂的固化过程是一个热-化学-力学耦合过程，在建模、实验研究和数值实现方面均构成特殊挑战。描述该过程需要多个本构关系，从而产生大量材料参数。本构关系的标定必须通过多步骤完成，其中不确定性不可避免地发生传递。本研究同时考察了多步骤标定程序中的不确定性传递，以及利用已识别参数进行固化过程数值模拟时的不确定性传递。针对两者，我们采用一阶二次矩法，并通过覆盖性检验以及与蒙特卡罗方法的对比进行严谨评估。研究表明，尽管仅提供高度非线性随机模型响应的一阶近似，一阶二次矩法仍能有效获得合理结果。