Predeformation- and frequency-dependent material behaviour of filler-reinforced rubber: Experiments, constitutive modelling and parameter identification
Predeformation- and frequency-dependent material behaviour of filler-reinforced rubber: Experiments, constitutive modelling and parameter identification
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DOI：
10.1016/j.ijsolstr.2012.12.015
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发表时间：
2013-05
影响因子：
3.6
通讯作者：
D. Wollscheid;A. Lion
中科院分区：
文献类型：
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作者：
D. Wollscheid;A. Lion
弹性体在加载大的静态预变形叠加小幅值的简谐变形时，对预变形和频率有很大的依赖性。为了研究这种与预变形和频率有关的材料行为，进行了一些准静态和动态实验。基于Haupt和Lion(2002)和Lion等人的实验事实和进一步的方法。(2009)，对最近发展的有限粘弹性本构模型进行了扩展，以考虑储能模数和损耗模数对预变形的依赖性。在计算效率方面，我们利用了频域中的公式。因此，本构方程在预变形附近被几何线性化，并在频域中进行计算。最后，建立了不可压缩材料的本构模型，推导了动弹模张量。此外，还将给出参数辨识的过程和一些初步的数值模拟结果。
Elastomers show a significant dependence on predeformation and frequency when they are loaded with large static predeformations superimposed by harmonic deformations of small amplitude. In order to investigate this predeformation- and frequency-dependent material behaviour some quasi-static and dynamic experiments are carried out. Based on the experimental facts and further approaches of Haupt and Lion (2002) and Lion et al. (2009), a recently developed constitutive model of finite viscoelasticity is extended to take the dependence on the predeformation of storage- and loss-modulus into account. In terms of computation efficiency, we make use of a formulation in the frequency domain. Therefore the constitutive equations are geometrically linearised in the neighbourhood of the predeformation and evaluated in frequency domain. Finally the constitutive model is formulated for incompressible materials and the dynamic modulus tensors are derived. Additionally the process of parameter identification and some first numerical simulation results will be shown.