Two-temperature generalized thermoelastic infinite medium with cylindrical cavity subjected to moving heat source

2009 ◽  
Vol 80 (11) ◽  
pp. 1213-1224 ◽  
Author(s):  
Hamdy M. Youssef
Keyword(s):  
Heat Source ◽  
Cylindrical Cavity ◽  
Infinite Medium ◽  
Moving Heat Source ◽  
Generalized Thermoelastic ◽  
Two Temperature

The effects of relaxation times and a moving heat source on a two-temperature generalized thermoelastic thin slim strip

2015 ◽  
Vol 93 (5) ◽  
pp. 585-590 ◽  
Author(s):  
Ibrahim A. Abbas
Keyword(s):  
Heat Source ◽  
Relaxation Times ◽  
Thermodynamic Temperature ◽  
Laplace Transforms ◽  
Moving Heat Source ◽  
Eigenvalue Approach ◽  
Conductive Temperature ◽  
Generalized Thermoelastic ◽  
Two Temperature

The problem of two-temperature generalized thermoelastic thin slim strip is investigated in the context of Green and Lindsay theory. As an application of the problem, a particular type of moving heat source is considered and the problem is solved analytically by using the eigenvalue approach in the Laplace transforms domain. The displacement, conductive temperature, thermodynamic temperature, and stress are obtained. The resulting quantities are depicted graphically.

Generalized Thermoelastic Responses of a Piezoelectric Rod Subjected to a Moving Heat Source

2007 ◽  
Vol 353-358 ◽  
pp. 1149-1152
Author(s):  
Tian Hu He ◽  
Li Cao
Keyword(s):  
Numerical Calculation ◽  
Heat Source ◽  
Laplace Transformation ◽  
Moving Heat Source ◽  
Governing Equations ◽  
Laplace Inversion ◽  
Thermally Induced ◽  
Numerical Laplace Inversion ◽  
Generalized Thermoelastic ◽  
Elastic Responses

Based on the Lord and Shulman generalized thermo-elastic theory, the dynamic thermal and elastic responses of a piezoelectric rod fixed at both ends and subjected to a moving heat source are investigated. The generalized piezoelectric-thermoelastic coupled governing equations are formulated. By means of Laplace transformation and numerical Laplace inversion the governing equations are solved. Numerical calculation for stress, displacement and temperature within the rod is carried out and displayed graphically. The effect of moving heat source speed on temperature, stress and temperature is studied. It is found from the distributions that the temperature, thermally induced displacement and stress of the rod are found to decrease at large source speed.

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