Different decay functions to describe the effects of homogeneous thermo-oxidative aging on the constitutive behavior of aged rubber-like materials for longer timescales is presented. Then, a suitable decay function has been introduced and implemented into a micro-mechanical model to study the effects of homogeneous thermo-oxidative aging on the quasi-static mechanical response of rubber-like materials and their inelastic responses such as Mullins effect and permanent set over time. The model describes the aging induced damage with respect to experimental studies on the process of chemical aging which suggests decomposition of original network and creation of a new one. Accordingly, in the course of aging, the strain energy of the polymer matrix is divided from two independent sources, (i) a decomposing original matrix (ii) a newly formed matrix. The model is validated with respect to a comprehensive set of own experimental data as well as data available in literature that were designed to capture thermal induced aging effects of constitutive behavior of polymers. Besides accuracy, the model is relatively simple and easy to fit.

提出了不同的衰减函数来描述均匀热氧化老化对老化橡胶状材料在较长时间范围内的本构行为的影响。然后，将合适的衰减函数引入微机械模型，以研究均相热氧化老化对类橡胶材料准静态机械响应及其非弹性响应（如穆林斯效应和永久变形）的影响。随着时间的推移。该模型相对于化学老化过程的实验研究描述了老化引起的破坏，该实验表明原始网络的分解和新网络的创建。因此，在老化过程中，聚合物基质的应变能从两个独立的来源中分离出来，（i）分解原始基质（ii）新形成的基质。该模型针对一组完整的自身实验数据以及文献中可用来捕获聚合物本构行为的热诱导老化效应的数据进行了验证。除了准确性之外，该模型还相对简单且易于拟合。