Reflection of three-dimensional plane waves at the free surface of a rotating triclinic half-space under the context of generalized thermoelasticity  

作　　者：P.SINGH A.K.SINGH A.CHATTOPADHYAY 

机构地区：[1]Department of Mathematics and Computing,Indian Institute of Technology(ISM),Dhanbad-826004,Jharkhand,India

出　　处：《Applied Mathematics and Mechanics(English Edition)》2021年第9期1363-1378,共16页应用数学和力学（英文版）

基　　金：the National Board for Higher Mathematics of India(NBHM)(No.2/48(3)/2016/NBHM(R.P)/R D Ⅱ/4528)。

摘　　要：The reflection of three-dimensional(3D) plane waves in a highly anisotropic(triclinic) medium under the context of generalized thermoelasticity is studied. The thermoelastic nature of the 3D plane waves in an anisotropic medium is investigated in the perspective of the three-phase-lag(TPL), dual-phase-lag(DPL), Green-Naghdi-III(GNIII), Lord-Shulman(LS), and classical coupled(CL) theories. The reflection coefficients and energy ratios for all the reflected waves are obtained in a mathematical form. The rotational effects on the reflection characteristics of the 3D waves are discussed under the context of generalized thermoelasticity. Comparative analyses for the reflection coefficients of the waves among these generalized thermoelastic theories are performed. The energy ratios for each of the reflected waves establish the energy conservation law in the reflection phenomena of the plane waves. The highly anisotropic materials along with the rotation may have a significant role in the phenomenon of the reflection behavior of the 3D waves. Numerical computations are performed for the graphical representation of the study.

关 键 词：REFLECTION energy ratio TRICLINIC THERMOELASTICITY ROTATION three-dimensional(3D)wave 

分 类 号：O353[理学—流体力学]