基于Kelvin-Voigt模型的粘弹性波动力学的本征化理论

Eigen Theory of Viscoelastic Dynamics Based on theKelvin-Voigt Model

School of Civil Engineering and Architecture, Central South University, Changsha 410083, P. R. China

摘要: 利用固体力学本征化理论，研究了具有Kelvin-Voigt粘弹性质的各向异性固体的本征特性，并由此得到了各向异性粘弹性波动力学的广义Stokes方程,展现了波动过程的立体图像．讨论了几类常见各向异性固体的粘弹性波动规律，给出了一些新的结论．
- 各向异性 /
- 粘弹性 /
- 波动方程 /
- 本征化理论
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.
- anisotropy /
- viscoelasticity /
- wave equation /
- eigen theory

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