Thermoelastic interaction in a viscoelastic functionally graded half-space under three-phase-lag model

2014 ◽  
Vol 23 (5-6) ◽  
pp. 179-198 ◽  
Author(s):  
Abhik Sur ◽  
M. Kanoria
Keyword(s):  
Half Space ◽  
Functionally Graded ◽  
Phase Lag ◽  
Three Phase ◽  
Lag Model ◽  
Thermoelastic Interaction

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.

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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