In this contribution, a constitutive model is proposed for filled rubber-like materials to describe hysteresis. The model is based on the network decomposition concept. Rubber matrix is decomposed into purely elastic and deformable networks. The Gent model is considered to model the purely elastic network. The deformable network is simulated by using the freely jointed chain concept, a probability density function of the chain length and the network alteration theory. Damage in a network is assumed as a debonding of polymer chains from filler surface, which evolves with respect to the chain length over the set of available chains. In the consecutive loading cycles, a new network rearrangement is accounted for the characterization of the hysteresis behavior. Debonded chains in the damaged network are considered to rebond up to the point of the permanent set. The model contains seven material parameters and was successfully tested on the sequential cyclic uniaxial tensile test data of filled rubbers having different filler concentrations.

中文翻译：

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迟滞的本构模型：填充橡胶样材料的连续损伤方法

在此贡献中，提出了用于填充橡胶状材料的本构模型以描述滞后现象。该模型基于网络分解概念。橡胶基体分解为纯弹性和可变形的网络。Gent模型被认为是对纯弹性网络建模的模型。利用自由连接链概念，链长的概率密度函数和网络变更理论对可变形网络进行仿真。网络中的损坏被认为是聚合物链从填料表面脱粘，这相对于整个可用链组上的链长而发展。在连续的加载周期中，考虑了磁滞行为的特征，进行了新的网络重排。损坏网络中的脱粘链被认为可以重新粘合到永久变形点。该模型包含七个材料参数，并已在具有不同填充剂浓度的填充橡胶的连续循环单轴拉伸试验数据上成功进行了测试。