Strain induced transient effects of filler reinforced elastomers with respect to the Payne‐Effect: experiments and constitutive modelling

Strain induced transient effects of filler reinforced elastomers with respect to the Payne‐Effect: experiments and constitutive modelling
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DOI:
10.1002/zamm.200900362
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发表时间:
2010-05
期刊:
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
影响因子:
--
通讯作者:
M. Rendek;A. Lion
M. Rendek;A. Lion
中科院分区:
其他
文献类型:
--
作者:
M. Rendek;A. Lion

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填充增强橡胶在循环变形下表现出许多有趣的非线性效应。由于动态载荷,可以观察到材料微观结构的变化以及弹性体动态行为的变化。在这种情况下,频率、幅度、温度和预载依赖性是众所周知的影响。此外,还观察到明显的热机械耦合,例如热量积聚现象。机械耦合效应可以通过研究佩恩效应的瞬态动态行为(振幅依赖性)来证明。使用动态机械分析(DMA)技术,可以以非常舒适的方式研究上述效应。为了研究动态模量的过程依赖性,进行了双峰 DMA 测试和瞬态多步测试。本文简要解释了双峰测量的重要后处理。具有附加内部变量的有限非线性粘弹性方法为本构材料建模提供了良好的基础。证明了所开发的本构模型的热力学一致性。这提供了表示热机械耦合效应(例如耗散热量积聚)的可能性。提出了在更复杂的瞬态载荷历史下使用所开发和实施的材料模型计算的一系列有限元模拟的数值结果。
Filler‐reinforced rubber shows many interesting nonlinear effects under cyclic deformations. As a result of the dynamic loading, a change in the materials' microstructure and hence in the dynamic behaviour of the elastomer is observed. In this context, the frequency‐, amplitude‐, temperature‐, and the preload‐dependence are well‐known effects. Additionally, pronounced thermomechanical couplings are observed, e.g., heat build‐up phenomena. Mechanical coupling effects can be demonstrated by studying the transient dynamic behaviour of the Payne‐effect (amplitude dependence). Using the technique of dynamical mechanical analysis (DMA) the mentioned effects can be investigated in a very comfortable way. To study the process dependence of the dynamic modulus, bimodal DMA tests and transient multistep tests have been carried out. The non‐trivial postprocessing of the bimodal measurements is shortly explained in the paper. The approach of finite nonlinear viscoelasticity with additional internal variables provides an excellent basis for constitutive material modelling. The thermodynamical consistency of the developed constitutive model is demonstrated. This offers the possibility to represent thermomechanical coupling effects like the dissipative heat build‐up. A series of numerical results of FEM simulations under more complicated transient loading histories, computed with the developed and implemented material model, are presented.