EXPLICITLY MODELING PERMANENT SET AND ANISOTROPY PROPERTY INDUCED BY STRESS SOFTENING FOR RUBBER-LIKE MATERIALS

Wang Xiaoming; Wu Rongxing; Jiang Yi; Xiao Heng

doi:10.6052/0459-1879-21-060

Volume 53 Issue 7

Jul. 2021

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Chinese Journal of Theoretical and Applied Mechanics > 2021 > 53(7): 1999-2009. > DOI: 10.6052/0459-1879-21-060 CSTR: 32045.14.0459-1879-21-060

Wang Xiaoming, Wu Rongxing, Jiang Yi, Xiao Heng. Explicitly modeling permanent set and anisotropy property induced by stress softening for rubber-like materials. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(7): 1999-2009. DOI: 10.6052/0459-1879-21-060

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EXPLICITLY MODELING PERMANENT SET AND ANISOTROPY PROPERTY INDUCED BY STRESS SOFTENING FOR RUBBER-LIKE MATERIALS

*.
Institute of Applied Mechanics, Ningbo Polytechnic, Ningbo 315000, Zhejiang, China
†.
Ningbo Construction Engineering Group Co Ltd, Ningbo 315000, Zhejiang, China
**.
MOE Key Lab of Disaster Forecast and Control in Engineering, School of Mechanics and Civil Engineering, Jinan University, Guangzhou 510632, China

Received Date: February 02, 2021
Accepted Date: June 07, 2021
Available Online: June 07, 2021

Graphical Abstract

Abstract

Abstract

Stress softening, known as the Mullins effect, is observed in rubber-like materials after initial loading cycles. Experimental observations have shown that the Mullins effect leads to a permanent set and induces anisotropic properties. A multi-axial, compressible strain energy function based on the Hencky strain is proposed to account for the stress softening and simulate the permanent set and anisotropic properties by introducing two variables, separately characterizing the permanent set and anisotropic properties, which are dependent on dissipation. A comprehensive, explicit shape function is proposed by using the spherical coordinate system to make the model effective in arbitrary direction. The new model exhibits isotropic properties when it not yet induced stress softening, and becomes anisotropy when the Mullins effect occurs. The residual strain increases and reach a fixed value as the loading-unloading cycles proceeds, and the anisotropy becomes more obvious. The simulation results are shown good accord with the classical experimental data and successfully forecast the permanent set and anisotropic properties induced by stress softening.
- tress softening,
- permanent set,
- anisotropy,
- dissipation,
- shape function

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References

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EXPLICITLY MODELING PERMANENT SET AND ANISOTROPY PROPERTY INDUCED BY STRESS SOFTENING FOR RUBBER-LIKE MATERIALS

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