Modelling of predeformation‐ and frequency‐dependent material behaviour of filled rubber under large predeformations superimposed with harmonic deformations of small amplitudes
Modelling of predeformation‐ and frequency‐dependent material behaviour of filled rubber under large predeformations superimposed with harmonic deformations of small amplitudes
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DOI：
10.1002/pamm.201210135
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发表时间：
2012-12
期刊：
影响因子：
--
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
粘弹性材料在由小谐波变形叠加的大预变形组成的载荷下表现出显著的频率和预变形依赖行为。基于Haupt & Lion[1]和Lion， Retka & rendk[2]的进一步材料模型，我们引入了一种最近开发的频域有限粘弹性本构方法，该方法能够描述频率和预变形相关的材料行为，涉及存储和损失模量。本构方程在预变形附近几何线性化，并将在频域进行评估。此外，还引入了不可压缩材料特性的公式，并推导了相应的动模张量。（©2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim）
Viscoelastic materials show a significant frequency and predeformation dependent behaviour under loadings consisting of large predeformations superimposed by small harmonic deformations. Based on further material models of Haupt & Lion [1] and Lion, Retka & Rendek [2] we introduce a recently developed constitutive approach of finite viscoelasticity in the frequency domain that is able to describe the frequency and predeformation dependent material behaviour with respect to storage and loss modulus. The constitutive equations are geometrically linearised in the neighbourhood of the predeformation and will be evaluated in the frequency domain. Furthermore a formulation for incompressible material behaviour is introduced and the corresponding dynamic modulus tensors are derived. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)