Abstract Under dynamic loads, the viscoelastic behavior of filled elastomers exhibits a nonlinearity known as the Payne Effect. The material stiffness decreases as the dynamic strain amplitude increases. The aim of this work is to model this feature, by adapting a previously developed constitutive model. First, a complete experimental dynamic campaign is performed to characterize the dynamic properties of a filled elastomer used on silent block. The continuous spectrum of relaxation time is identified as a function of the strain amplitude. This identification follows the standard method of the literature. The spectrum is discretized into a dynamic strain amplitude dependent Prony Series. Finally, a constitutive model using the Prony Series is developed and numerically implemented. Comparisons between experimental results and model predictions are presented.

中文翻译：

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佩恩效应：基于松弛时间的动态应变幅度相关谱的本构模型

摘要 在动态载荷下，填充弹性体的粘弹性行为表现出一种非线性，称为佩恩效应。材料刚度随着动态应变幅度的增加而降低。这项工作的目的是通过调整先前开发的本构模型来对这一特征进行建模。首先，执行完整的实验动态活动以表征用于静音块的填充弹性体的动态特性。弛豫时间的连续谱被确定为应变幅度的函数。这种识别遵循文献的标准方法。频谱被离散化为动态应变振幅相关的 Prony 系列。最后，开发了使用 Prony 系列的本构模型并进行了数值计算。