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

被引：11

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

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