New hyperelastic model based on seth strain tensor

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (2) : 227-233.

ZHAO Zihan1,2, MU Xihui1, DU Fengpo1

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Abstract

Based on the Seth strain tensor invariant, a new hyperelastic model for isotropic and incompressible rubber-like materials was proposed, which can describe the mechanical behavior of the rubber-like material over a large range accurately.In order to investigate its applicability and accuracy, the parameters of the proposed model, as well as the Yeoh model and the second-order polynomial model were identified by using Treloar classical data and carbon black filled rubber test data respectively.The results show that only the proposed model can reliably fit the test data of two different rubber-like materials in uniaxial tension and equibiaxial tension tests while others cannot.Finally, based on the three hyperelastic models mentioned above, the finite element analysis and experiment verification on the static stiffness of a rubber bushing were carried out.As compared with experimental data, the simulation errors of radial stiffness and axial stiffness based on the proposed model are 6.61% and 9.72% respectively, which are significantly smaller than those based on other two models.Therefore, the proposed model can be applied to the performance analysis of rubber products.The proposed model merely includes four material parameters,so, it can be used widely for various rubber-like materials and has good engineering value.

Key words

rubber-like material / Seth strain tensor / isotropy / hyperelastic model / rubber bushing

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ZHAO Zihan1,2, MU Xihui1, DU Fengpo1. New hyperelastic model based on seth strain tensor[J]. Journal of Vibration and Shock, 2020, 39(2): 227-233

References

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