On the theory of two-temperature thermoelasticity without energy dissipation of Green-Naghdi model

被引:11
|
作者
Youssef, Hamdy M. [1 ,2 ]
Elsibai, Khaled A. [3 ]
机构
[1] Univ Alexandria, Dept Math, Fac Educ, Alexandria, Egypt
[2] Umm Al Qura Univ, Dept Mech, Fac Engn, Mecca, Saudi Arabia
[3] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
关键词
temperature thermoelasticity; thermoelasticity without energy dissipation; Green-Naghdi model; 80A17; 74A15; 74A10; 80A10; 80A20; STATE-SPACE APPROACH; GENERALIZED THERMOELASTICITY; WAVE-PROPAGATION; BODY;
D O I
10.1080/00036811.2014.961920
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This work introduces one-dimensional numerical application of an elastic and isotropic half space in which the governing equations have been taken in the context of the two-temperature thermoelasticity without energy dissipation theory to show the effects of the two-temperature parameter on all the studied fields and to stand on the contributions of this theory. The results of this work confirmed that the two-temperature thermoelasticity without energy dissipation is valid when the thermo-dynamical temperature and the temperature of the heat conduction are not coinciding.
引用
收藏
页码:1997 / 2010
页数:14
相关论文
共 50 条
  • [21] Green-Naghdi Theory, Part B: Green-Naghdi Equations for Deep Water Waves
    Shiliang Duan
    Binbin Zhao
    W. C. Webster
    Journal of Marine Science and Application, 2023, 22 : 44 - 51
  • [22] Two-temperature problem of a fiber-reinforced thermoelastic medium with a Mode-I crack under Green-Naghdi theory
    Sarkar, Nantu
    Atwa, Sarhan Y.
    MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS, 2019, 25 (04): : 1357 - 1367
  • [23] Green-Naghdi theory, part A: Green-Naghdi (GN) equations for shallow water waves
    Webster W.C.
    Duan W.
    Zhao B.
    Journal of Marine Science and Application, 2011, 10 (3) : 253 - 258
  • [24] Two-temperature fractional Green-Naghdi of type III in magneto-thermo-viscoelasticity theory subjected to a moving heat source
    Hendy, Mohamed H.
    El-Attar, Sayed I.
    Ezzat, Magdy A.
    INDIAN JOURNAL OF PHYSICS, 2021, 95 (04) : 657 - 671
  • [25] Effect of homogeneous generalized thermoelasticity on semiconductor layer under magnetic field on Green and Naghdi model without energy dissipation
    Hendy, Mohamed H.
    Khamis, Alaa Kamal
    INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES, 2024, 11 (02): : 118 - 127
  • [26] Tsunami simulation with Green-Naghdi theory
    Zhao, B. B.
    Duan, W. Y.
    Webster, W. C.
    OCEAN ENGINEERING, 2011, 38 (2-3) : 389 - 396
  • [27] Fractional phase-lag Green-Naghdi thermoelasticity theories
    El-Karamany, Ahmed S.
    Ezzat, Magdy A.
    JOURNAL OF THERMAL STRESSES, 2017, 40 (09) : 1063 - 1078
  • [28] Green-Naghdi Theory, Part B: Green-Naghdi Equations for Deep Water Waves
    Duan, Shiliang
    Zhao, Binbin
    Webster, W. C.
    JOURNAL OF MARINE SCIENCE AND APPLICATION, 2023, 22 (01) : 44 - 51
  • [29] The effect of a dipolar structure on the Holder stability in Green-Naghdi thermoelasticity
    Marin, Marin
    Ochsner, Andreas
    CONTINUUM MECHANICS AND THERMODYNAMICS, 2017, 29 (06) : 1365 - 1374
  • [30] The Effect of a Hyperbolic Two-Temperature Model with and without Energy Dissipation in a Semiconductor Material
    Alzahrani, Faris
    Abbas, Ibrahim
    MATHEMATICS, 2020, 8 (10) : 1 - 11