Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (11): 1451-1462 .doi: https://doi.org/10.1007/s10483-008-1106-6

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横观各向同性广义热弹性扩散Rayleigh波在自由表面上的传播

R.库玛;T.坎赛   

  1. 库卢谢特拉大学 数学系,库卢谢特拉_136119,哈里亚拉邦,印度
  • 收稿日期:2008-02-07 修回日期:2008-09-22 出版日期:2008-11-01 发布日期:2008-11-01
  • 通讯作者: Rajneesh Kumar

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

Rajneesh Kumar and Tarun Kansa   

  1. Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India
  • Received:2008-02-07 Revised:2008-09-22 Online:2008-11-01 Published:2008-11-01
  • Contact: Rajneesh Kumar

摘要: 基于广义热弹性扩散理论,边界无应力作用、绝热/恒温和化学势边界条件作用下,研究均匀、横观各向同性、热弹性扩散半空间Rayleigh波的传播.采用Green和Lindsay(GL)理论,热扩散和热扩散_力学松弛条件采用4个不同的时间常数加以控制.导出了所研究介质中表面波传播的久期方程.为了说明和比较分析结果,用图形示出了各向异性和扩散对相速度、衰减系数的影响.最后推导出了某些特殊情况下的频率方程.

关键词: 波传播, 横观各向同性, 广义热弹性扩散, 相速度, 衰减系数

Abstract: 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.

Key words: attenuation coefficient, generalized thermoelastic diffusion, phase velocity, wave propagation, transversely isotropic

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