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EIGEN THEORY OF VISCOELASTIC DYNAMICS BASED ON THE KELVIN-VOIGT MODEL
作者姓名:郭少华
作者单位:SchoolofCivilEngineeringandArchitecture,CentralSouthUniversity,Changsha410083,P.R.China
摘    要:Using the eigen theory of solid mechanics, the eigen properties of anisotropic viscoelastic bodies with Kelvin-Voigt model were studied, and the generalized Stokes equation of anisotropic viscoelastic dynamics was obtained, which gives the three-dimensional pattern of viscoelastical waves. The laws of viscoelastical waves of different anisotropical bodies were discussed. Several new conclusiones are given.

关 键 词:各向异性  粘弹性  波方程  固体力学  地震波  本征函数
收稿时间:22 October 2002

Eigen theory of viscoelastic dynamics based on the Kelvin-Voigt model
Guo Shao-hua.EIGEN THEORY OF VISCOELASTIC DYNAMICS BASED ON THE KELVIN-VOIGT MODEL[J].Applied Mathematics and Mechanics(English Edition),2004,25(7):782-798.
Authors:Guo Shao-hua
Institution:School of Civil Engineering and Architecture, Central South University, Changsha 410083, P. R. China
Abstract:Using the eigen theory of solid mechanics, the eigen properties of anisotropic viscoelastic bodies with Kelvin-Voigt model were studied, and the generalized Stokes equation of anisotropic viscoelastic dynamics was obtained, which gives the three-dimensional pattern of viscoelastical waves. The laws of viscoelastical waves of different anisotropical bodies were discussed.Several new conclusiones are given.
Keywords:anisotropy  viscoelasticity  wave equation  eigen theory
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