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
来源：
APPLICABLE ANALYSIS | 2015年 / 94卷 / 10期
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
  • [31] 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
  • [32] Reciprocal and variational theorems on the two-temperature Green–Lindsay thermoelasticity theory
    Satyam Sachan
    Roushan Kumar
    Rashmi Prasad
    Archive of Applied Mechanics, 2023, 93 : 1555 - 1563
  • [33] Photo-thermo-elastic interactions in micropolar generalized thermoelasticity theory in the framework of Green-Naghdi theory
    Nazir, Rafiya
    Kumar, Varun
    JOURNAL OF THERMAL STRESSES, 2024, 47 (04) : 537 - 552
  • [34] A numerical scheme for the Green-Naghdi model
    Le Metayer, O.
    Gavrilyuk, S.
    Hank, S.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (06) : 2034 - 2045
  • [35] On electromagneto-thermoelastic plane waves under Green-Naghdi theory of thermoelasticity-II
    Tiwari, Rakhi
    Mukhopadhyay, Santwana
    JOURNAL OF THERMAL STRESSES, 2017, 40 (08) : 1040 - 1062
  • [36] Free Vibrations of Nanoscale Beam Under Two-Temperature Green and Naghdi model
    Abbas, Ibrahim A.
    INTERNATIONAL JOURNAL OF ACOUSTICS AND VIBRATION, 2018, 23 (03): : 289 - 293
  • [37] Differential operators associated with the equations of motion and nondissipative heat conduction in the Green-Naghdi theory of thermoelasticity
    Lychev, S. A.
    Manzhirov, A. V.
    7TH INTERNATIONAL CONFERENCE ON MODERN PRACTICE IN STRESS AND VIBRATION ANALYSIS, 2009, 181
  • [38] Fractional Green-Naghdi theory for thermoelectric MHD
    Aldawody, Dalia A.
    Hendy, Mohamed H.
    Ezzat, Magdy A.
    WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 29 (04) : 631 - 644
  • [39] THEORY OF HYPERBOLIC TWO-TEMPERATURE GENERALIZED THERMOELASTICITY
    Youssef, Hamdy M.
    El-Bary, Alaa A.
    MATERIALS PHYSICS AND MECHANICS, 2018, 40 (02): : 158 - 171
  • [40] Reciprocal and variational theorems on the two-temperature Green-Lindsay thermoelasticity theory
    Sachan, Satyam
    Kumar, Roushan
    Prasad, Rashmi
    ARCHIVE OF APPLIED MECHANICS, 2023, 93 (04) : 1555 - 1563
12345