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分析了广义Zener模型的粘弹性损耗特征,用该模型对聚酯树脂的损耗因子进行了拟合,对其损耗行为给出了非常好的描述,且表明主转变区衰减指数随温度线性增加,松弛时间随温度指数衰减.用并联分数Maxwell模型对拉伸高密度聚乙烯的损耗因子进行了模拟,表明用两个具有不同特征时间的双松弛过程能对结晶度较高的HDPE的松弛特征进行很好的描述.

Generalized fractional models were used to study the viscoelastic behavior of polymers.The loss characteristics of the fractional Zener and Maxwell models were analyzed.The frequency of the loss peak is decided by the relaxation time and the loss strength in different frequency regions is reflected by the fractional orders of the model elements.The loss behavior of unsaturated polyester resin at different temperatures was simulated perfectly by generalized Zener model.The relaxation exponent increases linearly with increasing temperature and the relaxation time decreases exponentially with increasing temperature.Parallel fractional Maxwell model was used to study the loss tangent of high-density polythene,and the results show that the relaxation of HDPE,which contains amorphous and crystalline morphologies,can be described by the processes with two different relaxation times.

参考文献

[1] Adolfsson K .Nonlinear fractional order viscoelasticity at large strains[J].Nonlinear dynamics,2004(1/4):233-246.
[2] 徐明瑜,谭文长.中间过程、临界现象--分数阶算子理论、方法、进展及其在现代力学中的应用[J].中国科学G辑,2006(03):225-238.
[3] Qazvini NT;Mohammadi N .Dynamic mechanical analysis of segmental relaxation in unsaturated polyester resin networks: Effect of styrene content[J].Polymer: The International Journal for the Science and Technology of Polymers,2005(21):9088-9096.
[4] Boiko YM.;Goldman AY.;Ramamurthy AC.;Brostow W. .TENSILE, STRESS RELAXATION AND DYNAMIC MECHANICAL BEHAVIOUR OF POLYETHYLENE CRYSTALLIZED FROM HIGHLY DEFORMED MELTS[J].Polymer: The International Journal for the Science and Technology of Polymers,1995(7):1383-1392.
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