This study proposes a one-dimensional constitutive model for elastomeric materials based on recent observations regarding the separation of elastic and viscous contributions in uniaxial cyclic tensile experiments on EPDM rubber. The focus is on capturing the changes in constitutive behavior and energy dissipation associated with the Mullins effect. In the model, this is achieved through the evolution of both permanent set and hyperelastic parameters of an Edwards-Vilgis function to account for the Mullins effect, and with a viscosity associated with the effective stretch rate of the network to describe the non-linear flow stress. The simulations are able to reproduce the observed constitutive response and its change with increasing levels of pre-deformation. The model is less able to accurately reproduce the virgin loading response, which is achieved via extrapolation to zero pre-strain. However, for practical purposes, where scragging of elastomeric products is the norm, the model is able to predict the cyclic response and the dissipated energy, and their change with different scragging levels in good agreement with experimental data.

这项研究基于关于EPDM橡胶单轴循环拉伸实验中弹性和粘性贡献分离的最新发现，提出了一种弹性体材料的一维本构模型。重点是捕获与穆林斯效应相关的本构行为和能量耗散的变化。在模型中，这是通过Edwards-Vilgis函数的永久变形参数和超弹性参数的演化来实现的，以说明穆林斯效应，并具有与网络的有效拉伸速率相关的粘度来描述非线性流动强调。仿真能够重现观察到的本构响应及其随预变形水平的提高而变化。该模型无法准确再现原始加载响应，这是通过外推至零预应变来实现的。但是，出于实际目的，在以弹性体产品为标准的情况下，该模型能够预测循环响应和耗散能量，以及它们在不同分散水平下的变化，与实验数据高度吻合。