帘线/橡胶复合材料各向异性黏-超弹性本构模型

黄小双; 彭雄奇; 张必超

doi:10.6052/0459-1879-15-189

帘线/橡胶复合材料各向异性黏-超弹性本构模型

doi: 10.6052/0459-1879-15-189

上海交通大学材料科学与工程学院, 上海 200030

基金项目: 国家自然科学基金资助项目(11172171).

详细信息

通讯作者:
彭雄奇,教授,主要研究方向:力学本构、复合材料结构设计、复合材料成型.E-mail:xqpeng@sjtu.edu.cn

中图分类号: TB121,TB332
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出版历程
- 收稿日期: 2015-05-27
- 修回日期: 2015-09-16
- 刊出日期: 2016-01-18

AN ANISOTROPIC VISCO-HYPERELASTIC CONSTITUTIVE MODEL FOR CORD-RUBBER COMPOSITES

School of Materials Science and Engineering, Shanghai JiaoTong University, Shanghai 200030, China

摘要

摘要: 帘线/橡胶复合材料广泛应用于轮胎等重要工程领域,为了描述其在服役条件下的大变形、非线性、各向异性和高应变率等材料力学行为,基于纤维增强复合材料连续介质力学理论,提出了一种考虑应变率效应的帘线/橡胶复合材料各向异性黏-超弹性本构模型. 该模型中单位体积的应变能被解耦为便于参数识别的基体等容变形能、帘线拉伸变形能、剪切应变能和黏性应变能四部分. 给出了模型参数的确定方法,并通过拟合文献中单轴拉伸、偏轴拉伸实验数据,得到了模型参数. 利用该模型预测了不同加载和变形条件下的力学行为,并将预测结果与实验结果对比分析. 结果表明, 考虑黏性模型和不考虑黏性模型对不同应变率变形条件下的预测结果相差很大,且考虑黏性模型的预测结果与实验结果吻合很好. 因此,与不考虑黏性模型相比,所提出的各向异性黏-超弹性本构模型能更好地表征帘线/橡胶复合材料在大变形、高应变率条件下的力学特性.
- 帘线/橡胶复合材料 /
- 各向异性 /
- 黏-超弹性 /
- 本构模型 /
- 模型参数拟合
Abstract: Based on fiber reinforced continuum mechanics theory, an anisotropic visco-hyperelastic constitutive model for cord-rubber composites was developed to characterize their highly non-linear, strongly anisotropic and strain rate dependent mechanical behaviors under high speed impact or large deformation condition. The unit-volume strain energy function for the visco-hyperelastic model was decomposed into four parts, representing the strain energy from isochoric rubber, the tensile energy from cord elongation, shearing energy from interaction between cord and rubber and viscous potential energy due to viscous characteristics, respectively, which greatly facilitated and simplified the identification of material parameters. By introducing the so called viscous potential energy that could not be neglected under particular loading conditions, the computation accuracy of the model was significantly improved. A simple approach for fitting the parameters was given. Experimental data from literature was used to identify material parameters in the constitutive for a specific cord-rubber composite. The developed model was validated by comparing numerical results with experimental uniaxial tension and bias-tension data under di erent strain rates, demonstrating that the developed constitutive model is highly suitable for characterizing the anisotropic and viscous material behaviors of cord-rubber composites under large deformation. The proposed model is simple, useful and easy for material parameter determination. It provides a theoretical foundation for dynamic finite element analysis of tire in the future.
- cord-rubber composites /
- anisotropic /
- visco-hyperelastic /
- constitutive model /
- parameter determination

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参考文献(30)

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