填充橡胶材料循环加载的本构行为及数值拟合

Modeling on Constitutive Behaviors of Filled Rubber Compounds for Cyclic Loading Path

使用电子万能材料试验机对炭黑填充的橡胶材料进行单轴循环加载,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Marlow,Arruda Boyce,Van der Waals和Yeoh等超弹性本构模型进行描述,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,并使用反分析方法确定Mullins方程的参数。结果表明,Marlow超弹性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,但无法拟合出材料的永久变形行为;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循环加载与卸载条件下的应力应变行为。

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.