Propagation of Rayleigh waves on free surface of transversely isotropic generalized thermoelastic diffusion  

作　　者：Rajneesh Kumar Tarun Kansal 

机构地区：[1]Department of Mathematics,Kurukshetra University,Kurukshetra-136 119,India

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第11期1451-1462,共12页应用数学和力学（英文版）

基　　金：Council of Scientific and Industrial Research(CSIR)

摘　　要：The present paper is devoted to the study of Rayleigh wave propagation in a homogeneous, transversely isotropic, thermoelastic diffusive half-space, subject to stress free, thermally insulated/isothermal, and chemical potential boundary conditions in the context of the generalized thermoelastic diffusion theory. The Green-Lindsay（GL） theory is used in the study. In this theory, thermodiffusion and thermodiffusion mechanical relaxations are governed by four different time constants. Secular equations for surface wave propagation in the considered media are derived. Anisotropy and diffusion effects on the phase velocity, attenuation coefficient are graphically presented in order to present the analytical results and make comparison. Some special cases of frequency equations are derived from the present investigation.The present paper is devoted to the study of Rayleigh wave propagation in a homogeneous, transversely isotropic, thermoelastic diffusive half-space, subject to stress free, thermally insulated/isothermal, and chemical potential boundary conditions in the context of the generalized thermoelastic diffusion theory. The Green-Lindsay（GL） theory is used in the study. In this theory, thermodiffusion and thermodiffusion mechanical relaxations are governed by four different time constants. Secular equations for surface wave propagation in the considered media are derived. Anisotropy and diffusion effects on the phase velocity, attenuation coefficient are graphically presented in order to present the analytical results and make comparison. Some special cases of frequency equations are derived from the present investigation.

关 键 词：wave propagation transversely isotropic generalized thermoelastic diffusion phase velocity attenuation coefficient 

分 类 号：O343.6[理学—固体力学]