Effect of rotation in magneto-thermoelastic transversely isotropic hollow cylinder with three-phase-lag model

2019 ◽  
Vol 47 (2) ◽  
pp. 234-254 ◽  
Author(s):  
Siddhartha Biswas ◽  
Basudeb Mukhopadhyay ◽  
Soumen Shaw
Keyword(s):  
Hollow Cylinder ◽  
Transversely Isotropic ◽  
Phase Lag ◽  
Three Phase ◽  
Lag Model

scholarly journals Effect of viscosity on wave propagation in anisotropic thermoelastic medium with three-phase-lag model

2012 ◽  
Vol 39 (4) ◽  
pp. 313-341 ◽  
Author(s):  
Rajneesh Kumar ◽  
Vijay Chawla ◽  
Ibrahim Abbas
Keyword(s):  
Wave Propagation ◽  
Transversely Isotropic ◽  
Phase Lag ◽  
Two Phase ◽  
Transverse Waves ◽  
Three Phase ◽  
Lag Model ◽  
Anisotropic Thermoelastic Medium ◽  
Different Characteristics ◽  
Special Case

The aim of the present paper is to study the wave propagation in anisotropic viscoelastic medium in the context of the theory threephase- lag model of thermoelasticity. It is found that there exist two quasi-longitudinal waves (qP1, qP2) and two transverse waves (qS1, qS2). The governing equations for homogeneous transversely isotropic thermoviscoelastic are reduced as a special case from the considered model. Different characteristics of waves like phase velocity, attenuation coefficient, specific loss and penetration depth are computed from the obtained results. Viscous effect is shown graphically on different resulting quantities for two-phase-lag model and three-phase-lag model of thermoelasticity. Some particular cases of interest are also deduced from the present investigation.

THREE-PHASE-LAG HEAT CONDUCTION IN A FUNCTIONALLY GRADED HOLLOW CYLINDER

2014 ◽  
Vol 38 (1) ◽  
pp. 155-171 ◽  
Author(s):  
Abdolhamid Akbarzadeh ◽  
Jiawei Fu ◽  
Zengtao Chen
Keyword(s):  
Heat Conduction ◽  
Hollow Cylinder ◽  
Time History ◽  
Model Material ◽  
Functionally Graded ◽  
Phase Lag ◽  
Three Phase ◽  
Lag Model ◽  
Phase Lags ◽  
The Time Domain

Heat conduction in a functionally graded, infinitely-long hollow cylinder is studied based on the three-phase-lag model. Material properties except the phase-lags vary according to a power-law within the cylinder. The phase-lag heat conduction equation is written in a form in which various models of heat conduction theories can be generated. The governing differential equations in the Laplace domain are solved exactly and a numerical Laplace inversion technique is employed for restoring results in the time domain. The effects of different heat conduction theories, phase-lags, geometries, and non-homogeneity indices are studied on the spatial distribution and time-history of temperature.

scholarly journals Rayleigh wave propagation in transversely isotropic magneto-thermoelastic medium with three-phase-lag heat transfer and diffusion

2019 ◽  
Vol 14 (1) ◽  
Author(s):  
Iqbal Kaur ◽  
Parveen Lata
Keyword(s):  
Heat Transfer ◽  
Rayleigh Wave ◽  
Homogeneous Medium ◽  
Transversely Isotropic ◽  
Phase Lag ◽  
Attenuation Coefficients ◽  
Three Phase ◽  
Stress Components ◽  
And Diffusion ◽  
Penetration Depths

Abstract The present research deals with the propagation of Rayleigh wave in transversely isotropic magneto-thermoelastic homogeneous medium in the presence of mass diffusion and three-phase-lag heat transfer. The wave characteristics such as phase velocity, attenuation coefficients, specific loss, and penetration depths are computed numerically and depicted graphically. The normal stress, tangential stress components, temperature change, and mass concentration are computed and drawn graphically. The effects of three-phase-lag heat transfer, GN type-III, and LS theory of heat transfer are depicted on the various quantities. Some particular cases are also deduced from the present investigation.

Three-phase lag model of thermo-elastic interaction in a 2D porous material due to pulse heat flux

2020 ◽  
Vol 30 (12) ◽  
pp. 5191-5207 ◽  
Author(s):  
Aatef Hobiny ◽  
Faris S. Alzahrani ◽  
Ibrahim Abbas
Keyword(s):  
Volume Fraction ◽  
Elastic Interaction ◽  
Phase Lag ◽  
Thermoelastic Wave ◽  
Content Type ◽  
Three Phase ◽  
Stress Components ◽  
Eigen Values ◽  
Lag Model ◽  
The Difference

Purpose The purposes of this study, a generalized model for thermoelastic wave under three-phase lag (TPL) model is used to compute the increment of temperature, the components of displacement, the changes in volume fraction field and the stress components in a two-dimension porous medium. Design/methodology/approach By using Laplace-Fourier transformations with the eigen values methodologies, the analytical solutions of all physical variables are obtained. Findings The derived methods are estimated with numerical outcomes which are applied to the porous media in simplified geometry. Originality/value Finally, the outcomes are represented graphically to display the difference among the models of the TPL and the Green and Naghdi (GNIII) with and without energy dissipations.

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