A simplified approximate analytical model for Rayleigh-Taylor instability in elastic-plastic solid and viscous fluid with thicknesses  

作　　者：Xi Wang Xiao-Mian Hu Sheng-Tao Wang Hao Pan 王曦;胡晓棉;王升涛;潘昊(Institute of Applied Physics and Computational Mathematics,Beijing 100094,China;Center for Applied Physics and Technology,Peking University,Beijing 100871,China)

机构地区：[1]Institute of Applied Physics and Computational Mathematics,Beijing 100094,China [2]Center for Applied Physics and Technology,Peking University,Beijing 100871,China

出　　处：《Chinese Physics B》2021年第4期342-350,共9页中国物理B（英文版）

基　　金：Project supported by of the Science Challenge Project of China(Grant No.TZ2018001)。

摘　　要：A simplified theoretical model for the linear Rayleigh-Taylor instability of finite thickness elastic-plastic solid constantly accelerated by finite thickness viscous fluid is performed.With the irrotational assumption,it is possible to consider viscosity,surface tension,elasticity or plasticity effects simultaneously.The model considers thicknesses at rigid wall boundary conditions with the velocity potentials,and deals with solid elastic-plastic transition and fluid viscosity based on the velocity continuity and force equilibrium at contact interface.The complete analytical expressions of the amplitude motion equation,the growth rate,and the instability boundary are obtained for arbitrary Atwood number,viscosity,thicknesses of solid and fluid.The thicknesses effects of two materials on the growth rate and the instability boundary are discussed.

关 键 词：Rayleigh-Taylor instability VISCOSITY PLASTICITY thicknesses effects 

分 类 号：O344.3[理学—固体力学] O35[理学—力学]