Strain-Dependent Dynamic Properties of Filled Rubber: A Non-Linear Viscoelastic Approach Based on Structural Variables
Strain-Dependent Dynamic Properties of Filled Rubber: A Non-Linear Viscoelastic Approach Based on Structural Variables
复制标题
填充橡胶的应变相关动态特性：基于结构变量的非线性粘弹性方法
DOI：
10.5254/1.3538811
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发表时间：
1999
影响因子：
1.5
通讯作者：
A. Lion
中科院分区：
文献类型：
--
作者：
A. Lion
摘要基于非线性热粘弹性现象学理论，提出了炭黑填充硫化胶动态模量的应变依赖性（Payne效应）的一般框架。根据热力学参数，我们建立了一个由非线性弹簧和阻尼元件组成的一维模型。我们引入了粘度函数，它不仅与温度有关，而且与其他变量有关。它们可能与材料微观结构的当前状态有关。在动载和静载条件下，这些变量近似为常数，可以简化模型。其中一个主要结果是，简化后的方程组可以与线性粘弹性相媲美，但结构变量暗示了粘弹性与变形幅度的依赖关系。从我们的理论可以得出，存储模量和耗散模量的振幅相关部分不是相互独立的，如f…
Abstract This essay deals with a general framework based on the phenomenological theory of non-linear thermoviscoelasticity to represent the characteristic strain dependence of dynamic moduli of carbon black-filled vulcanizates (Payne effect). By virtue of thermodynamical arguments we develop a one-dimensional model consisting of non-linear springs and damping elements. We introduce viscosity functions depending not only on the temperature but on other variables besides. They can be related to the current state of the material's microstructure. Under dynamic loads and stationary conditions, these variables become approximately constant so that the model can be simplified. One of the main results is that the reduced set of equations becomes comparable to linear viscoelasticity but the structural variables imply a dependence of the viscosities on the deformation amplitude. It follows from our theory that the amplitude-dependent parts of storage and dissipation modulus are not independent of each other, as f...