| A nonlinear hyper-viscoelastic constitutive model for carbon black filled nature rubber with finite strain |
| Received:December 10, 2015 Revised:January 04, 2016 |
| DOI： |
| Key Words: nonlinear; hyper-viscoelasticity; constitutive model; rate dependent; rubber material |
| Author Name | Affiliation | E-mail | | YU Hai-fu | State Key Laboratory of Organic-inorganic Composite,Beijing University of Chemical Technology | yuhaifu2014@163.com | | LI Fan-zhu | State Key Laboratory of Organic-inorganic Composite,Beijing University of Chemical Technology | | | YANG Hai-bo* | State Key Laboratory of Organic-inorganic Composite,Beijing University of Chemical Technology | yanghb@mail.buct.edu.cn | | ZHANG Li-qun | State Key Laboratory of Organic-inorganic Composite,Beijing University of Chemical Technology | |
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| Abstract: |
| A nonlinear hyper-viscoelastic constitutive model for carbon black filled nature rubber material with finite strain is proposed. The total stress is decomposed into two parts: the first part is hyperelastic stress calculated by Yeoh hyperelastic model, and the second part is rate dependent viscoelastic stress calculated by the Boltzmann superposition principle. The strain dependent hyperelastic stress is described by the nonlinear spring in the modified Zener model, while the rate and pre-deformation dependent viscoelastic stress is characterized by the nonlinear dashpot in the modified Zener model. Loading and unloading uniaxial tensile test, stress relaxation test, and multistep relaxation test are used to verify the effectiveness and reliability of the proposed constitutive model. A good agreement between test data and calculated data indicates that the model is reliable and reasonable. |
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