文章摘要
Modeling of constitutive behaviors of filled rubber compounds for cycle loading path:
Received:July 03, 2014  Revised:July 22, 2014
DOI：
Key Words: Rubber materials; constitutive equation;cycle loading;stress strain curve;Mullins
Author NameAffiliationE-mail
LI Fan-zhu Beijing University of Chemical Technology,Beijing 10029,China lifanzhu2013@163.com 
LIU Jin-peng Beijing University of Chemical Technology,Beijing 10029,China  
LU Yong-lai Beijing University of Chemical Technology,Beijing 10029,China  
ZHANG Li-qun Beijing University of Chemical Technology,Beijing 10029,China  
YANG Hai-bo* Beijing University of Chemical Technology,Beijing 10029,China yanghb@mail.buct.edu.cn 
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Abstract:
      This research study was devoted to the modeling of the mechanical behavior of carbon black (CB) filled natural rubber (NR) compounds under a cycle loading experiment. These compounds were prepared on a two-roll mill, and the tensile tests were carried out on a rectangle-shaped (100mm10mm2mm) specimen. The time-independent behavior of the loading curve was described by traditional hyperelastic models, including those of Marlow, Arruda Boyce, Van der Waals, Yeoh, etc. The viscoelastic behavior of the unloading curve was studied with Mullins model. The permanent set behavior was described by plastic model. Inverse analysis method, a procedure for estimating the material parameters by fitting model prediction to experimental data, was used to determine the parameters of the mentioned Mullins equation. It is shown that Marlow hyperelastic model gives the best prediction of the mechanical deformation in the loading stage. Mullins models combined with inverse analysis method could describe the unloading stress strain curve well for the large strains, but plastic deformation could not be predicted using Mullins model only. The combination of plastic model with Marlow and Mullins equations accurately describe the mechanical behaviors including loading/unloading and permanent set behavior, which could be used for the evaluation of self-heating and prediction of fatigue life for rubber components further.
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