Effect of temperature-dependent and internal heat source on a micropolar thermoelastic medium with voids under 3PHL model

被引：10

作者：

Alharbi, Amnah M. ^{[1
]}

Abd-Elaziz, Elsayed M. ^{[2
]}

Othman, Mohamed I. A. ^{[3
]}

机构：

[1] Taif Univ, Fac Sci, Dept Math, POB 11099, At Taif 21944, Saudi Arabia

[2] Minist Higher Educ, Zagazig Higher Inst Engn & Technol, Zagazig, Egypt

[3] Zagazig Univ, Dept Math, Fac Sci, POB 44519, Zagazig, Egypt

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2021年 / 101卷 / 06期

关键词：

internal heat source; micropolar; normal mode analysis; temperature dependent; thermoelasticity; three‐ phase‐ lag; voids; LINEAR ELASTIC-MATERIALS; INITIAL STRESS; GENERALIZED THERMOELASTICITY; 3-PHASE-LAG; DIFFUSION; ROTATION; DOMAIN; SPACE;

D O I：

10.1002/zamm.202000185

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of the paper is to present the study of the effect of an internal heat source and the dependence of temperature on a micropolar voided medium that is thermoelastic in the theory of the three-phase-lag model of thermoelasticity. The governing equations are formulated and then the exact displacement component expressions, temperature field, microrotation components, the components of stress and volume fraction field change are found with the normal mode technique. The obtained results for thermal variations were validated by comparing to the three-phase-lag model (3PHL) and the Green and Naghdi of type III theory (G-N III). The comparisons are shown graphically to explore the effects of the internal heat source and void parameters as well as temperature dependent. Other subjects of interest received their own deductions from this investigation.

引用

页数：24

共 36 条

[1] Effect of Thomson and thermal loading due to laser pulse in a magneto-thermo-elastic porous medium with energy dissipation
Abd-Elaziz, Elsayed M.
Othman, Mohamed I. A.
[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2019, 99 (08):
[2] On the Effect of Thomson and Initial Stress in a Thermo-Porous Elastic Solid under G-N Electromagnetic Theory
Abd-Elaziz, Elsayed M.
Marin, Marin
Othman, Mohamed I. A.
[J]. SYMMETRY-BASEL, 2019, 11 (03):
[3] Effects of three-phase-lag on two-temperature generalized thermoelasticity for infinite medium with spherical cavity
Banik, S.
Kanoria, M.
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2012, 33 (04) : 483 - 498
[4] Numerical analysis of a contact problem in poro-thermoelasticity with microtemperatures
Bazarra, Noelia
Fernandez, Jose R.
[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2018, 98 (07): : 1190 - 1209
[5] MICROPOROUS MATERIALS WITH NEGATIVE POISSON RATIOS .1. MICROSTRUCTURE AND MECHANICAL-PROPERTIES
CADDOCK, BD
EVANS, KE
[J]. JOURNAL OF PHYSICS D-APPLIED PHYSICS, 1989, 22 (12) : 1877 - 1882
[6] HEAT-FLUX DEPENDENT MICROPOLAR THERMOELASTICITY
CHANDRASEKHARAIAH, DS
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1986, 24 (08) : 1389 - 1395
[7] On a thermoelastic three-phase-lag model
Choudhuri, S. K. Roy
[J]. JOURNAL OF THERMAL STRESSES, 2007, 30 (03) : 231 - 238
[8] COWIN SC, 1983, J ELASTICITY, V13, P125, DOI 10.1007/BF00041230
[9] On the three-phase-lag linear micropolar thermoelasticity theory
El-Karamany, Ahmed S.
Ezzat, Magdy A.
[J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2013, 40 : 198 - 208
[10] Ezzat M., 2004, Journal of Applied Mathematics and Informatics, V14, P193

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