Propagation of plane waves in thermoelastic cubic crystal material with two relaxation times |
| |
| Authors: | Rajneesh Kumar Manjeet Singh |
| |
| Affiliation: | Department of Mathematics, Kurukshetra University, Kurukshetra-136119, India;Department of Mathematics, S.U.S. Govt. College, Matak Majari, Karnal, Haryana, India |
| |
| Abstract: | A problem concerned with the reflection and refraction of thermoelastic plane waves at an imperfect interface between two generalized thermally conducting cubic crystal solid half-spaces of different elastic and thermal properties with two relaxation times has been investigated. The generalized thermoelastic theory with two relaxation times developed by Green and Lindsay has been used to study the problem. The expressions for the reflection and refraction coefficients which are the ratios of the amplitudes of reflected and refracted waves to the amplitude of incident waves are obtained for an imperfect boundary and deduced for normal stiffness, transverse stiffness, thermal contact conductance, slip and welded boundaries. Amplitude ratios of different reflected and refracted waves for different boundaries with angle of emergence have been compared graphically for different incident waves. It is observed that the amplitude ratios of reflected and refracted waves are affected by the stiffness and thermal properties of the media. |
| |
| Keywords: | generalized thermoelasticity normal stiffness transverse stifiness thermal contact conductance cubic crystal amplitude ratios |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |
