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

页码：1997 / 2010

页数：14

共 50 条

[1] ON THE TWO-TEMPERATURE GREEN-NAGHDI THERMOELASTICITY THEORIES
El-Karamany, Ahmed S.
Ezzat, Magdy A.
JOURNAL OF THERMAL STRESSES, 2011, 34 (12) : 1207 - 1226
[2] THEORY OF TWO-TEMPERATURE THERMOELASTICITY WITHOUT ENERGY DISSIPATION
Youssef, Hamdy M.
JOURNAL OF THERMAL STRESSES, 2011, 34 (02) : 138 - 146
[3] Two-temperature theory in Green-Naghdi thermoelasticity with fractional phase-lag heat transfer
Ezzat, Magdy A.
El-Karamany, Ahmed S.
El-Bary, Alaa A.
MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS, 2018, 24 (02): : 951 - 961
[4] On phase-lag Green-Naghdi theory without energy dissipation for electro-thermoelasticity including heat sources
El-Attar, Sayed, I
Hendy, Mohamed H.
Ezzat, Magdy A.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2019, 47 (06) : 769 - 786
[5] Free vibration of a microbeam resting on Pasternak's foundation via the Green-Naghdi thermoelasticity theory without energy dissipation
Zenkour, Ashraf M.
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 2016, 35 (04) : 303 - 311
[6] Two-temperature Green-Naghdi theory of type III in linear thermoviscoelastic anisotropic solid
El-Karamany, Ahmed S.
Ezzat, Magdy A.
APPLIED MATHEMATICAL MODELLING, 2015, 39 (08) : 2155 - 2171
[7] A theory of thermoelasticity with diffusion under Green-Naghdi models
Aouadi, Moncef
Lazzari, Barbara
Nibbi, Roberta
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2014, 94 (10): : 837 - 852
[8] Generalized magneto-thermoelasticity with two temperature and initial stress under Green-Naghdi theory
Atwa, Sarhan Y.
APPLIED MATHEMATICAL MODELLING, 2014, 38 (21-22) : 5217 - 5230
[9] Thomson effect and two-temperature theory on a micropolar thermoelastic medium with voids under Green-Naghdi theory
Bayounes, Fatma S.
Abd-Elaziz, Elsayed M.
Othman, Mohamed I. A.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2022, 102 (10):
[10] Two-temperature theory in Green–Naghdi thermoelasticity with fractional phase-lag heat transfer
Magdy A. Ezzat
Ahmed S. El-Karamany
Alaa A. El-Bary
Microsystem Technologies, 2018, 24 : 951 - 961

← 1 2 3 4 5 →