Thermoelastic diffusion of a solid cylinder in the context of modified Green–Naghdi models

2021 ◽  
pp. 1-22
Author(s):  
Smain Bezzina ◽  
Ashraf M. Zenkour
Keyword(s):  
Solid Cylinder ◽  
Thermoelastic Diffusion

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.

scholarly journals Effect of Static Stress on Plane Strain Vibrations in Poroelastic Solid Cylinder

2015 ◽  
Vol 127 ◽  
pp. 727-734
Author(s):  
Rajitha Gurijala ◽  
Malla Reddy Perati
Keyword(s):  
Plane Strain ◽  
Static Stress ◽  
Solid Cylinder

scholarly journals IV. On double refraction in a viscous fluid in motion

1874 ◽  
Vol 22 (148-155) ◽  
pp. 46-47 ◽  
Keyword(s):  
Internal Friction ◽  
Viscous Fluid ◽  
Polarized Light ◽  
Elastic Solid ◽  
The State ◽  
Solid Cylinder ◽  
Annular Space ◽  
Double Refraction ◽  
Fresh Start ◽  
The Moment

According to Poisson’s theory of the internal friction of fluids, a viscous fluid behaves as an elastic solid would do if it were periodically liquefied for an instant and solidified again, so that at each fresh start it becomes for the moment like an elastic solid free from strain. The state of strain of certain transparent bodies may be investigated by means of their action on polarized light. This action was observed by Brewster, and was shown by Fresnel to be an instance of double refraction. In 1866 I made some attempts to ascertain whether the state of strain in a viscous fluid in motion could be detected by its action on polarized light. I had a cylindrical box with a glass bottom. Within this box a solid cylinder could be made to rotate. The fluid to be examined was placed in the annular space between this cylinder and the sides of the box. Polarized light was thrown up through the fluid parallel to the axis, and the inner cylinder was then made to rotate. I was unable to obtain any result with solution of gum or sirup of sugar, though I observed an effect on polarized light when I compressed some Canada balsam which had become very thick and almost solid in a bottle.

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