| 橡胶材料循环加载的本构行为及数值拟合 |
| Modeling of constitutive behaviors of filled rubber compounds for cycle loading path: |
| 投稿时间：2014-07-03 修订日期：2014-07-22 |
| DOI： |
| 中文关键词: 橡胶材料 应力应变曲线 本构行为 Mullins软化 永久变形 |
| 英文关键词: Rubber materials constitutive equation cycle loading stress strain curve Mullins |
| 基金项目:国家自然科学基金51073009 |
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| 中文摘要: |
| 使用电子万能试验机对炭黑填充的橡胶材料进行循环加载,对稳定后的应力应变曲线进行数值拟合。对加载段的应力应变曲线采用传统的超弹性本构模型(Marlow,Arruda Boyce,Van der Waals,Yeoh,Ogden等)进行描述,对卸载段的应力应变曲线采用Mullins模型,即应力软化模型进行描述,对永久变形行为采用塑性变形模型进行描述,并使用反分析方法(Inverse analysis method)来确定Mullins方程的参数。研究表明,Marlow本构模型对加载段的应力应变曲线拟合效果最好,Mullins模型可较好地描述大应变时卸载段的应力应变曲线,但仅用Mullins模型无法拟合出材料的永久变形行为,而将Marlow超弹性本构模型、Mullins模型以及塑性变形理论相结合,可以精确地描述橡胶材料的加载卸载应力应变曲线及永久变形行为。本研究对于进一步研究橡胶材料的粘弹性自生热行为以及疲劳寿命的有限元分析可提供一定参照。 |
| 英文摘要: |
| 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. |
| Author Name | Affiliation | E-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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