A Hyperelastic Mixed Constitutive Model for Rubber Based on Molecular Chain Statistical Theory

doi:10.19894/j.issn.1000-0518.200325

Chinese Journal of Applied Chemistry ›› 2021, Vol. 38 ›› Issue (2): 228-235.DOI: 10.19894/j.issn.1000-0518.200325

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A Hyperelastic Mixed Constitutive Model for Rubber Based on Molecular Chain Statistical Theory

SHI Cheng^1,2, ZHOU Heng-Wei¹, DING Ming-Ming^1,2*, YE Feng^2*, SHI Tong-Fei^1,2

¹Xinjiang Laboratory of Phase Transitions and Microstructures in Condensed Matter Physics, College of Physical Science and Technology, Yili Normal University, Yining 835000, China
²State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, China

Received:2020-10-30 Accepted:2020-12-31 Published:2021-02-01 Online:2021-04-10

Abstract

Abstract: Rubber materials are widely used in practice because of their unique hyperelasticity. The analysis of the stress-strain relationship can provide theoretical guidance for the engineering application of rubber mechanical properties. In order to describe the mechanical properties of rubber materials more accurately, a hybrid hyperelastic constitutive model was proposed in this paper. The new model is based on the Gaussian model and 8-chain model, which are coupled by the weight function related to the stretching ratio. When the stretching ratio is small, the new model degenerates into Gaussian form; When the stretching ratio is large, the new model can improve the deficiency of 8-chain model in small deformation by regulating of the weight function. We select experiment data from three aspects to verify the applicability of the new model: Stress-strain curve of orientation hardening, stress-strain curve of non-oriented hardening, stress-strain curve of different stretch ratios. We carry on the fitting verification from uniaxial tension, biaxial tension and pure shear experiments, respectively. The results show that the new model retains the advantages of Gaussian model in small deformation range and 8-chain model in large deformation range at the same time and has no dependence on stretching ratios and stress-strain curve forms. It breaks through the limitation of Gaussian model and 8-chain model, and provides a new idea for prediction of rubber hyperelastic mechanical properties.

Key words: Rubber, Hyperelasticity, Molecular statistical theory, Constitutive model

CLC Number:

O631

SHI Cheng, ZHOU Heng-Wei, DING Ming-Ming, YE Feng, SHI Tong-Fei. A Hyperelastic Mixed Constitutive Model for Rubber Based on Molecular Chain Statistical Theory[J]. Chinese Journal of Applied Chemistry, 2021, 38(2): 228-235.

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A Hyperelastic Mixed Constitutive Model for Rubber Based on Molecular Chain Statistical Theory

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