Filled rubber-like materials are widely used in engineering applications, and are known to exhibit a rate-dependent non-linear inelastic behavior, and stress-softening, also known as the Mullins effect is frequently encountered. In this work, we characterized and modeled the constitutive response of a handful of commercially available filled rubber-like materials. We first perform a set of large-deformation uniaxial experiments at room temperature and at multiple rates. Those experimental findings are used to develop and calibrate a thermodynamically consistent constitutive model, which is then numerically implemented in a finite element package by writing a user material subroutine. The constitutive model is validated by comparing the results of an inhomogeneous experiment and simulation. A key finding of this work is that the mechanisms that cause the Mullins effect appear to be the main drivers of viscoelasticity in the materials used here.

中文翻译：

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填充橡胶材料中粘弹性和 Mullins 效应耦合的实验和建模

填充类橡胶材料广泛应用于工程应用中，并且已知表现出速率相关的非线性非弹性行为，并且经常遇到应力软化（也称为马林斯效应）。在这项工作中，我们对一些市售的填充橡胶类材料的本构响应进行了表征和建模。我们首先在室温下和多个速率下进行了一组大变形单轴实验。这些实验结果用于开发和校准热力学一致的本构模型，然后通过编写用户材料子程序在有限元包中以数值方式实现。通过比较非均匀实验和模拟的结果来验证本构模型。这项工作的一个重要发现是，引起马林斯效应的机制似乎是此处使用的材料粘弹性的主要驱动因素。