A Comparative Study for Elastodynamic Response of Thermal Source in Three-phase-lag Orthotropic Thermoelastic Material

Silicon ◽  
2021 ◽  
Author(s):  
S. Shekhar ◽  
L. Rani
Keyword(s):  
Comparative Study ◽  
Thermal Source ◽  
Phase Lag ◽  
Thermoelastic Material ◽  
Three Phase ◽  
Elastodynamic Response

Generalized Two Temperatures Thermoelasticity of Micropolar Porous Circular Plate with Three Phase Lag Model

2017 ◽  
Vol 34 (6) ◽  
pp. 779-789 ◽  
Author(s):  
R. Kumar ◽  
A. Miglani ◽  
R. Rani
Keyword(s):  
Circular Plate ◽  
Volume Fraction ◽  
Generalized Thermoelasticity ◽  
Thermal Source ◽  
Phase Lag ◽  
Three Phase ◽  
Lag Model ◽  
Phase Lags ◽  
Two Temperatures ◽  
Inversion Techniques

AbstractThe present study is to focus on the two dimensional problem of micropolar porous circular plate with three phase lag model within the context of two temperatures generalized thermoelasticity theory. The problem is solved by applying Laplace and Hankel transforms after using potential functions. The expressions of displacements, microrotation, volume fraction field, temperature distribution and stresses are obtained in the transformed domain. To show the utility of the approach, normal force and thermal source are taken. The numerical inversion techniques of transforms have been carried out in order to evaluate the resulting quantities in the physical domain. Finally, the resulting quantities are depicted graphically to show the effect of porosity, two temperatures and phase lags.

Effects of Phase-Lag on Thick Circular Plate with Heat Sources in Modified Couple Stress Thermoelastic Medium

2016 ◽  
Vol 32 (6) ◽  
pp. 665-671 ◽  
Author(s):  
R. Kumar ◽  
S. Devi
Keyword(s):  
Circular Plate ◽  
Couple Stress ◽  
Mathematical Formulation ◽  
Phase Lag ◽  
Heat Sources ◽  
Thermoelastic Medium ◽  
Conduction Model ◽  
Three Phase ◽  
Thick Circular Plate ◽  
Modified Couple Stress

AbstractThe main objective of the present paper is to analyze the effects of phase-lag on thick circular plate with heat sources in modified couple stress thermoelastic medium. The mathematical formulation is prepared for three-phase-lag heat conduction model subjected to prescribed normal heat flux along with stress free boundary. Laplace and Hankel transforms are used to deal the problem. The displacements, stresses and temperature change are obtained in the transformed domain. Numerical inversion technique has been used to obtain the solutions in the physical domain. The results obtained numerically for these quantities are presented graphically. Some particular cases are also discussed in the present problem.

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