On the behavior of a three-dimensional fractional viscoelastic constitutive model
On the behavior of a three-dimensional fractional viscoelastic constitutive model
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DOI：
10.1007/s11012-016-0550-8
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发表时间：
2017-07-01
期刊：
影响因子：
2.7
通讯作者：
Di Paola, Mario
中科院分区：
文献类型：
--
作者：
Alotta, Gioacchino;Barrera, Olga;Di Paola, Mario
本文研究了一个三维各向同性分数粘弹性模型。它表明，如果不同的时间尺度的体积和偏分量被假定，泊松比是随时间变化的函数，特别是粘弹性泊松比可以得到增加和减少随着时间的推移。从理论上讲，除非偏量时间尺度和体积时间尺度相等，否则一维正应力和应变分量分数本构关系不能很好地拟合单轴试验。最后，证明了该模型对粘弹性泊松比也满足对应原理，并讨论了该模型的热力学一致性问题。
In this paper a three-dimensional isotropic fractional viscoelastic model is examined. It is shown that if different time scales for the volumetric and deviatoric components are assumed, the Poisson ratio is time varying function; in particular viscoelastic Poisson ratio may be obtained both increasing and decreasing with time. Moreover, it is shown that, from a theoretical point of view, one-dimensional fractional constitutive laws for normal stress and strain components are not correct to fit uniaxial experimental test, unless the time scale of deviatoric and volumetric are equal. Finally, the model is proved to satisfy correspondence principles also for the viscoelastic Poisson's ratio and some issues about thermodynamic consistency of the model are addressed.