Zaghdoudi Maha, Kömmling Anja, Jaunich Matthias, Wolff Dietmar
Bundesanstalt für Materialforschung und -prüfung (BAM), 12200 Berlin, Germany.
Polymers (Basel). 2020 Sep 21;12(9):2152. doi: 10.3390/polym12092152.
To improve the predictive capability of long-term stress relaxation of elastomers during thermo-oxidative ageing, a method to separate reversible and irreversible processes was adopted. The separation is performed through the analysis of compression set after tempering. On the basis of this separation, a numerical model for long-term stress relaxation during homogeneous ageing is proposed. The model consists of an additive contribution of physical and chemical relaxation. Computer simulations of compression stress relaxation were performed for long ageing times and the results were validated with the Arrhenius treatment, the kinetic study and the time-temperature superposition technique based on experimental data. For chemical relaxation, two decay functions are introduced each with an activation energy and a degradative process. The first process with the lower activation energy dominates at lower ageing times, while the second one with the higher activation energy at longer ageing times. A degradation-rate based model for the evolution of each process and its contribution to the total system during homogeneous ageing is proposed. The main advantage of the model is the possibility to quickly validate the interpolation at lower temperatures within the range of slower chemical processes without forcing a straight-line extrapolation.
为提高弹性体在热氧化老化过程中长时应力松弛的预测能力,采用了一种分离可逆和不可逆过程的方法。该分离通过回火后压缩永久变形的分析来进行。基于这种分离,提出了一种均匀老化过程中长时应力松弛的数值模型。该模型由物理和化学松弛的叠加贡献组成。对长老化时间进行了压缩应力松弛的计算机模拟,并根据实验数据采用阿累尼乌斯处理、动力学研究和时间-温度叠加技术对结果进行了验证。对于化学松弛,引入了两个衰减函数,每个函数都有一个活化能和一个降解过程。活化能较低的第一个过程在较短老化时间占主导,而活化能较高的第二个过程在较长老化时间占主导。提出了一个基于降解速率的模型,用于描述各过程在均匀老化过程中的演变及其对整个系统的贡献。该模型的主要优点是能够在较慢化学过程范围内的较低温度下快速验证插值,而无需强制进行直线外推。