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剪切波在线性粘弹性流体中的传播
引用本文:周晓君,刘高,乔春德,夏麟,陈红.剪切波在线性粘弹性流体中的传播[J].湖北大学学报(自然科学版),2013(2):149-152.
作者姓名:周晓君  刘高  乔春德  夏麟  陈红
作者单位:上海大学机电工程与自动化学院
基金项目:国家自然科学基金(51074102)资助
摘    要:对John D Ferry剪切波传播模型进行修正,建立剪切波在线性粘弹性流体中的传播模型,并根据剪切作用下流体的运动方程、流体的本构方程及一阶麦克斯韦模型,推导剪切波在线性粘弹性流体中的传播方程.运用衰减波定式,求解剪切波在线性粘弹性流体中传播的表达式,探讨流体粘度等流变性参数对剪切波传播特性的影响,为进一步研究机械振动对线性粘弹性流体流变性的影响打下基础.

关 键 词:John  D  Ferry’S模型  线性粘弹性流体  运动方程  麦克斯韦模型

The propagation of shear wave in linear viscoelastic fluid
ZHOU Xiaojun,LIU Gao,QIAO Chunde,XIA Lin,CHEN Hong.The propagation of shear wave in linear viscoelastic fluid[J].Journal of Hubei University(Natural Science Edition),2013(2):149-152.
Authors:ZHOU Xiaojun  LIU Gao  QIAO Chunde  XIA Lin  CHEN Hong
Institution:(School of Mechatronics Engineering and Automation,Shanghai University,Shanghai 200072,China)
Abstract:By necessary modification of John D. Ferry's shear wave propagation model, the authors had established the model of the shear wave propagation in linear viscoelastic fluid, and according to the equations of motion and the constitutive of the linear viscoelastic fluid and the firstorder Maxwell model, the equation of the shear wave propagation in the linear viscoelastic fluid had been deduced, Using the propagation equation of the damped wave, the expression of transmission was obtained. By discussion the effects of rheological parameters such as viscosity on the shear wave propagation characteristics, it may be helpful for further study of the effects of mechanical vibration on the theological property of linear viscoelastic fluid
Keywords:John D Ferry's model  linear viscoelastic fluid  equation of motion  Maxwell's model
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