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分数Poynting-Thomson模型应用于聚碳酸酯及其混合物介电损耗的研究
引用本文:陈宏善,陈长宏. 分数Poynting-Thomson模型应用于聚碳酸酯及其混合物介电损耗的研究[J]. 西北师范大学学报(自然科学版), 2010, 46(2): 27-31
作者姓名:陈宏善  陈长宏
作者单位:西北师范大学物理与电子工程学院,甘肃兰州730070
摘    要:基于分数阶微积分理论,建立了介电松弛的分数Poynting-Thomson模型,讨论了该模型各参数变化对介电损耗的影响.利用遗传算法结合共轭梯度法确定最优化模型参数,用该模型拟合了聚碳酸酯及聚碳酸酯与热塑性聚酯混合物在不同温度介电损耗的频谱数据.结果表明,该模型可以对聚碳酸酯及聚碳酸酯与热塑性聚酯混合物的介电损耗给出很好的描述,在不同温度下,松弛时间对温度具有简单的依赖关系.

关 键 词:聚合物  介电松弛  介电损耗  分数模型

Dielectric loss of polycarbonate and its blends studied by fractional Poynting-Thomson model
CHEN Hong-shan,CHEN Chang-hong. Dielectric loss of polycarbonate and its blends studied by fractional Poynting-Thomson model[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2010, 46(2): 27-31
Authors:CHEN Hong-shan  CHEN Chang-hong
Affiliation:CHEN Hong-shan,CHEN Chang-hong(College of Physics , Electronic Engineering,Northwest Normal University,Lanzhou 730070,Gansu,China)
Abstract:Based on the fractional calculus theory,a fractional Poynting-Thomson model about dielectric relaxation is established,and the dependence of the dielectric loss on the model parameters are discussed.Besides,the model parameters are optimized by using the genetic algorithm and the conjugate gradient method.Furthermore,the dielectric loss of the polycarbonate and its blends with thermoplastic polyester is simulated by applying the fractional Poynting-Thomson model.It can be found from the results that this mo...
Keywords:polymer  dielectric relaxation  dielectric loss  fractional model  
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