Dual-Phase-Lag Model on Reflection of Thermoelastic Waves from a Rotating Solid Half-Space with Gravity

被引:0
|
作者
Othman, Mohamed I. A. [1 ]
Abo-Dahab, S. M. [2 ]
Abd-Alla, A. M. [3 ]
Albalwi, M. D. [4 ]
Elhag, Azhari A. [5 ]
Aripov, M. [6 ]
机构
[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig 44519, Egypt
[2] South Valley Univ, Fac Sci, Dept Math, Qena 83523, Egypt
[3] Sohag Univ, Fac Sci, Dept Math, Sohag, Egypt
[4] Yanbu Ind Coll, Royal Commiss Jubail & Yanbu, Yanbu 30436, Saudi Arabia
[5] Taif Univ, Coll Sci, Dept Math & Stat, Taif 21944, Saudi Arabia
[6] Natl Univ Uzbekistan, Fac Math, Dept Appl Math & Comp Anal, Tashkent 100174, Uzbekistan
关键词
reflection; generalized thermoelasticity; rotation; dual-phase-lag model; gravity; MAGNETOTHERMOELASTIC WAVES; DIFFUSION; RELAXATION; SURFACE; FIELD;
D O I
10.1134/S0025654424603203
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This study examines the planar harmonic waves reflection from a rotating semi-infinite elastic material with a gravity using the generalized thermoelasticity theory. The ratios of reflected wave amplitudes to incident wave amplitudes are called reflection coefficients, and they are computed. The impact of rotation and gravity on the reflection coefficients is graphically represented and the numerical solution is executed. The predictions of the Lord-Shulman and dual-phase-lag models are compared in the absence and presence of rotation and gravity. The rotational and gravitational field impacts explain the coefficients of waves reflection on the free surface of the half space. A comparison between the present results and the previous investigation indicate to the strong effect of the external parameters on the phenomenon and agree with the practical results.
引用
收藏
页码:2010 / 2019
页数:10
相关论文
共 50 条
  • [31] On the time differential dual-phase-lag thermoelastic model
    Chirita, Stan
    MECCANICA, 2017, 52 (1-2) : 349 - 361
  • [32] Reflection of plane waves at the free surface of a monoclinic thermoelastic solid half-space
    Singh, Baljeet
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2010, 29 (05) : 911 - 916
  • [33] Thermoelastic Bresse system with dual-phase-lag model
    Noelia Bazarra
    Ivana Bochicchio
    José R. Fernández
    Maria Grazia Naso
    Zeitschrift für angewandte Mathematik und Physik, 2021, 72
  • [34] Thermoelastic Bresse system with dual-phase-lag model
    Bazarra, Noelia
    Bochicchio, Ivana
    Fernandez, Jose R.
    Naso, Maria Grazia
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (03):
  • [35] On the time differential dual-phase-lag thermoelastic model
    Stan Chiriţă
    Meccanica, 2017, 52 : 349 - 361
  • [36] Gravity effect in a piezo-thermoelastic diffusive medium with dual-phase-lag model
    Ahmed, Ethar A. A.
    Eraki, Ebtesam E. M.
    Othman, Mohamed I. A.
    INTERNATIONAL JOURNAL OF COMPUTATIONAL MATERIALS SCIENCE AND ENGINEERING, 2023, 12 (04)
  • [37] Reflection of Thermoelastic Waves From the Insulated Surface of a Solid Half-Space With Time-Delay
    Sarkar, Nihar
    De, Soumen
    Das, Narayan
    Sarkar, Nantu
    JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2020, 142 (09):
  • [38] Reflection of plane waves from a micropolar thermoelastic solid half-space with impedance boundary conditions
    Singh, Baljeet
    Yadav, Anand Kumar
    Gupta, Deepak
    JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2019, 4 (02) : 122 - 131
  • [39] Reflection of generalized thermoelastic waves from a solid half-space under hydrostatic initial stress
    Singh, Baljeet
    Kumar, Ajay
    Singh, Jagdish
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 177 (01) : 170 - 177
  • [40] Reflection and transmission between an orthotropic thermoelastic half-space and an initially stressed orthotropic rotating thermoelastic diffusive half-space
    Deswal, Sunita
    Kumar, Rajesh
    Sheokand, Suresh Kumar
    Kalkal, Kapil Kumar
    JOURNAL OF THERMAL STRESSES, 2020, 43 (06) : 739 - 761