橡胶材料的非线性黏弹性本构方程
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国家重点研发计划(2018YFB1502501);中央高校基本科研业务费专项(ZY1911)


A Nonlinear Viscoelastic Constitutive Equation Based on Parallel Rheological Framework for Rubber Materials
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    摘要:

    橡胶是一种非线性黏弹性材料,准确描述其非线性黏弹性力学响应的本构方程是橡胶材料及制品设计优化的关键。文中基于超弹性模型和并行流变模型(PRF)描述了橡胶材料的非线性黏弹性响应特征,重点探讨了由实验数据确定PRF本构方程材料参数的方法。首先通过单轴拉伸实验数据拟合得到超弹性模型,将应力松弛实验数据拟合得到表征材料线性黏弹性的模型-Prony级数,再将Prony级数转化为初始的PRF模型,进而不断优化得到PRF模型的准确材料参数,最后进行实验验证。结果表明,PRF模型计算的不同应变下的应力松弛数据与实验数据之间的误差仅为0.067%,PRF能准确地描述橡胶材料非线性响应的应力松弛行为。

    Abstract:

    Rubber is a nonlinear viscoelastic material. The nonlinear viscoelastic constitutive equation is the key to design and optimize rubber materials and rubber products. In the paper, a nonlinear viscoelastic constitutive equation based on hyperelastic model and parallel rheological network (PRF) was studied, and the method of fitting the material parameters of the PRF constitutive equation was discussed in detail. Firstly, the hyperelastic model was obtained by fitting the experimental data of uniaxial tensile, and the linear viscoelastic model-Prony series was obtained by fitting the experimental data of stress relaxation, then the Prony series was transformed to the linear PRF model, which was used as initial value and continuously optimized. Finally, the experimental verification was carried out. The results show that the error between the fitting data by the PRF model and the experimental data of stress relaxation under different strains is only 0.067%. The PRF model can accurately describe the nonlinearity of stress relaxation of rubber materials.

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周梦雨,李凡珠,杨海波,张立群.橡胶材料的非线性黏弹性本构方程[J].高分子材料科学与工程,2020,36(3):79-84.

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  • 在线发布日期: 2020-05-14
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