| An nonlinear visco-hyperelastic constitutive model for carbon black filled natural rubber materials |
| Received:September 21, 2015 Revised:September 21, 2015 |
| DOI： |
| Key Words: rubber materials; nonlinear; visco-hyperelasticity; constitutive model; stress relaxation |
| Author Name | Affiliation | E-mail | | yuhaifu | Beijing University of Chemical Technology | yuhaifu2014@163.com | | lifanzhu | Beijing University of Chemical Technology | | | yanghaibo* | Beijing University of Chemical Technology | yanghb@mail.buct.edu.cn | | zhangliqun | Beijing University of Chemical Technology | |
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| Abstract: |
| A nonlinear visco-hyperelastic constitutive model that can describe loading condition, unloading condition, and stress relaxation process simultaneously was developed for carbon black filled natural rubber materials under uniaxial deformation based on the modified Zener model. The linear dashpot and spring is replaced by nonlinear dashpot and spring. The total stress was decomposed into hyperelastic stress and viscoelastic stress. Hyperelastic stress was determined by the Yeoh model, and viscoelastic stress was determined by the instantaneous stress of loading and unloading conditions by integration method. Besides, considering the stress relaxation, viscoelastic stress was divided into two parts: one part represented the viscoelastic stress that obtained from loading and unloading conditions, the other part represented the reaction force of stress relaxation. Comparison between simulated data and experimental data was made to confirm the reliability of the proposed constitutive model. The result showed that the simulated data were in agreement with the experimental data, indicating the model was reliable and reasonable. |
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