2-D PROBLEM OF GENERALIZED THERMOELASTIC POROUS MEDIA UNDER THE EFFECT OF INITIAL STRESS AND MICROTEMPERATURES

被引:1
作者
Othman, Mohamed I. A. [1 ]
Abd-Elaziz, Elsayed M. [1 ]
机构
[1] Zagazig Univ, Fac Sci, Dept Math, POB 44519, Zagazig, Egypt
关键词
thermoelasticity; initial stress; relaxation time; porous media; normal mode analysis; microtemperatures; TEMPERATURE-DEPENDENT PROPERTIES; GRAVITATIONAL-FIELD; LASER-PULSE; VOIDS; ROTATION;
D O I
10.1615/JPorMedia.2021025293
中图分类号
O414.1 [热力学];
学科分类号
摘要
A general solution has been obtained to the field equations of thermoelastic porous media in the context of Lord and Shulman theory under the initial stress and microtemperatures effect. The effect of thermal relaxation time and initial stress on the displacements, the microtemperature vector, the temperature distribution, the normal stress, the changes in the volume fraction field, and the heat flux moments have been depicted graphically in the Lord and Shulman theory (L-S) and coupled theory (CT) of thermoelasticity with voids and microtemperatures. The normal mode analysis is used to obtain the exact expressions for the considered variables. Some particular cases are also deduced from the present investigation.
引用
收藏
页码:63 / 76
页数:14
相关论文
共 25 条
[1]   Response of Thermal Source in Initially Stressed Generalized Thermoelastic Half-Space with Voids [J].
Abbas, Ibrahim A. ;
Kumar, Rajneesh .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (06) :1472-1479
[2]   THERMOELASTICITY AND IRREVERSIBLE THERMODYNAMICS [J].
BIOT, MA .
JOURNAL OF APPLIED PHYSICS, 1956, 27 (03) :240-253
[3]   Exponential stability in thermoelasticity with microtemperatures [J].
Casas, PS ;
Quintanilla, R .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2005, 43 (1-2) :33-47
[4]  
Dhaliwal R.S., 1980, Dynamic coupled thermoelasticity
[5]   THERMODYNAMICS OF A CONTINUUM WITH MICROSTRUCTURE [J].
GROT, RA .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1969, 7 (08) :801-&
[6]   On a theory of thermoelasticity with microtemperatures [J].
Iesan, D ;
Quintanilla, R .
JOURNAL OF THERMAL STRESSES, 2000, 23 (03) :199-215
[7]   Plane deformation of elastic bodies with microtemperatures [J].
Iesan, D. ;
Scalia, A. .
MECHANICS RESEARCH COMMUNICATIONS, 2010, 37 (07) :617-621
[8]  
Jaric J., 1979, Revue Roumaine des Sciences Techniques, Serie de Mecanique Appliquee, V24, P793
[9]   A GENERALIZED DYNAMICAL THEORY OF THERMOELASTICITY [J].
LORD, HW ;
SHULMAN, Y .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1967, 15 (05) :299-&
[10]   An Extension of the Domain of Influence Theorem for Generalized Thermoelasticity of Anisotropic Material with Voids [J].
Marin, M. ;
Othman, Mohamed I. A. ;
Abbas, Ibrahim A. .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2015, 12 (08) :1594-1598