Thermoelastic response of a heated thin composite plate using the hyperbolic heat conduction model: lumped analysis

2004 ◽  
Vol 43 (10) ◽  
pp. 959-965 ◽  
Author(s):  
Naser S. Al-Huniti ◽  
M.A. Al-Nimr
Keyword(s):  
Heat Conduction ◽  
Composite Plate ◽  
Hyperbolic Heat Conduction ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Thermoelastic Response

scholarly journals Thermoelastic Response of a Rectangular Plate under Hyperbolic Heat Conduction Model in Differential Transform Domain

2019 ◽  
Vol 9 (1) ◽  
pp. 692-699
Keyword(s):  
Heat Conduction ◽  
Thermal Stresses ◽  
Thermal Relaxation ◽  
Hyperbolic Heat Conduction ◽  
Conduction Model ◽  
Transform Method ◽  
Heat Conduction Model ◽  
Differential Transform ◽  
Thermoelastic Response ◽  
Conduction Theory

In the present work, a semi-analytical solution is presented for the thermoelastic response of a finite plate of rectangular geometry considering hyperbolic heat conduction model. The solution of thermoelastic displacement, thermal stresses and temperature are obtained using differential transform method under hyperbolic, non-Fourier heat conduction theory. For special case, thermal stresses and displacement functions are determined numerically and plotted graphically to analyze the effect of the thermal relaxation time.

Overshooting Phenomenon in the Hyperbolic Heat Conduction Model

2003 ◽  
Vol 42 (Part 1, No. 8) ◽  
pp. 5383-5386 ◽  
Author(s):  
Mohammad Al-Nimr ◽  
Malak Naji ◽  
Salem Al-Wardat
Keyword(s):  
Heat Conduction ◽  
Hyperbolic Heat Conduction ◽  
Conduction Model ◽  
Heat Conduction Model

A smoothing spline-based regularization of the initial inverse problem in a two-dimensional heat equation

2008 ◽  
Vol 223 (2) ◽  
pp. 439-449 ◽  
Author(s):  
K Masood ◽  
M T Mustafa
Keyword(s):  
Inverse Problem ◽  
Heat Conduction ◽  
Temperature Distribution ◽  
Smoothing Splines ◽  
Smoothing Spline ◽  
Hyperbolic Heat Conduction ◽  
Parabolic Model ◽  
Initial Profile ◽  
Conduction Model ◽  
Heat Conduction Model

A smoothing spline-based method and a hyperbolic heat conduction model is applied to regularize the recovery of the initial profile from a parabolic heat conduction model in two-dimensions. An ill-posed inverse problem involving recovery of the initial temperature distribution from measurements of the final temperature distribution is investigated. A hyperbolic heat conduction model is considered instead of a parabolic model and smoothing splines are applied to regularize the recovered initial profile. The comparison of the proposed procedure and parabolic model is presented graphically by examples.

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