Generalized thermoelastic responses in an infinite solid cylinder under the thermoelastic-diffusion model with four lags

2021 ◽  
Author(s):  
Ahmed E. Abouelregal ◽  
H. Ahmad ◽  
A.M.H. Yahya ◽  
A. Saidi ◽  
H. Alfadil
Keyword(s):  
Diffusion Model ◽  
Solid Cylinder ◽  
Thermoelastic Diffusion ◽  
Generalized Thermoelastic

scholarly journals A generalized thermoelastic diffusion problem for an infinitely long solid cylinder

2006 ◽  
Vol 2006 ◽  
pp. 1-15 ◽  
Author(s):  
Moncef Aouadi
Keyword(s):  
Generalized Thermoelasticity ◽  
Diffusion Problem ◽  
Cylinder Surface ◽  
Solid Cylinder ◽  
Thermoelastic Diffusion ◽  
Generalized Thermoelastic Diffusion ◽  
Stress Region ◽  
The Laplace Transform ◽  
Generalized Thermoelastic ◽  
Special Case

The theory of generalized thermoelastic diffusion, based on the theory of Lord and Shulman, is used to study the thermoelastic-diffusion interactions in an infinitely long solid cylinder subjected to a thermal shock on its surface which is in contact with a permeating substance. By means of the Laplace transform and numerical Laplace inversion the problem is solved. Numerical results predict finite speeds of propagation for thermoelastic and diffusive waves and the presence of a tensile stress region close to the cylinder surface. The problem of generalized thermoelasticity has been reduced as a special case of our problem.

Some theorems on generalized thermoelastic diffusion

2010 ◽  
Vol 217 (3-4) ◽  
pp. 287-296 ◽  
Author(s):  
Roushan Kumar ◽  
Shweta Kothari ◽  
Santwana Mukhopadhyay
Keyword(s):  
Thermoelastic Diffusion ◽  
Generalized Thermoelastic Diffusion ◽  
Generalized Thermoelastic
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