| Modeling on Constitutive Behaviors of Filled Rubber Compounds for Cyclic Loading Path |
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| DOI： |
| Key Words: rubber material；stress vs. strain curve；constitutive model；stress softening model；permanent |
| Author Name | Affiliation | | LI Fanzhu | Beijing University of Chemical Technology | | LIU Jinpeng | Beijing University of Chemical Technology | | LU Yonglai | Beijing University of Chemical Technology | | ZHANG Liqun | Beijing University of Chemical Technology | | YANG Haibo | Beijing University of Chemical Technology |
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| Abstract: |
| The stress-strain relationship of carbon black filled elastomer materials under a cyclic loading condition, namely hysteresis loop，was obtained by using an electronic universal material testing machine，and then was analyzed by modeling in this work.The stress-strain relationship in the loading stage was described by hyperelastic models，such as Marlow，Arruda Boyce，Van der Waals and Yeoh models.The stress-strain relationship in the unloading stage was described by Mullins model，also called stress softening model.The permanent set behavior was described by plastic deformation model. Inverse analysis method was used to determine the parameters of the above Mullins model.It was shown that the Marlow hyperelastic model gave the best prediction of the mechanical behavior in the loading stage.Mullins model could describe the unloading stress-strain curve well under large strain，but permanent set couldn’t be described by Mullins model alone.The combination of plastic deformation model with Marlow model and Mullins model could accurately describe the mechanical behaviors in the cyclic loading and unloading path. |
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