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针对经典黏弹性模型不能很好分析黏弹性材料的蠕变行为问题,运用分数阶导数的类标准线性体模型与Prony级数模型研究了黏弹性材料尼龙6/蒙脱土复合材料的蠕变行为。采用原位聚合法制备了尼龙6/蒙脱土复合材料,在室温环境下对其进行蠕变实验。然后运用分数阶导数的类标准线性体模型和Prony级数模型对复合材料的蠕变实验数据进行分析,讨论了分数阶导数类标准线性体模型参数确定问题以及各参数对蠕变曲线的影响。结果表明:相同应力水平下,复合材料的蠕变柔量随着蒙脱土含量的增加而降低。分数阶导数的类标准线性体模型与Prony级数模型均能描述该复合材料的蠕变行为,Prony级数模型更能准确的描述该复合材料的蠕变行为,同时还能方便有限元软件的计算。
For the classical viscoelastic model, the creep behavior of viscoelastic materials can not be well analyzed. The creep behavior of the viscoelastic material nylon 6 / montmorillonite composite is studied using the class standard linear body model with fractional derivative and the Prony series model . Nylon 6 / montmorillonite composites were prepared by in-situ polymerization and their creep tests were carried out at room temperature. Then the experimental data of creep of composites were analyzed by using the class standard linear body model and the Prony series model of fractional derivative. The parameters of the standard linear body model with fractional derivative were also discussed. The influence of each parameter on the creep curve was also discussed. The results show that under the same stress level, the creep compliance of composites decreases with the increase of montmorillonite content. The class standard linear body model with fractional derivative and the Prony series model can all describe the creep behavior of the composites. The Prony series model can describe the creep behavior of the composites more accurately and at the same time facilitate the finite element software Calculate.