摘要
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。
Fractional order derivative model and Prony series model were applied to study the creep behavior of viscoelastic material PA6/MMT due to the classical viscoelastic model can＇t satisfy the demands of analysis. PA6/MMT composite was prepared by in-situ polymerization method. Its creep experiments were performed at room temperature, then the experimental data of PA6/MMT composite creep behavior were analyzed by fractional order derivative model and the Prony series model. The determination of parameters in fractional order derivative standard-linear-like body model and Prony series model and the influence of parameters on creep curve were discussed. Result show that at the same stress level, the creep compliance is decreased with the increasing of the MMT content in composite~ both above-mentioned models can describe the creep behavior of PA6/MMT composite and the Prony series model fit the creep experimental data more accurately. In addition, Prony series model can be used in finite element software Conveniently.
出处
《实验力学》
CSCD
北大核心
2011年第3期261-266,共6页
Journal of Experimental Mechanics
基金
国家自然科学基金(10672138)资助
