scholarly journals Thermoelastic interactions in a hollow cylinder due to a continuous heat source without energy dissipation

2020 ◽  
Vol 7 (3) ◽  
pp. 035702 ◽  
Author(s):  
Ashraf M Zenkour ◽  
Marwan A Kutbi
Keyword(s):  
Energy Dissipation ◽  
Heat Source ◽  
Hollow Cylinder ◽  
Without Energy Dissipation ◽  
Continuous Heat

scholarly journals Exact Solution of Thermoelastic Problem for a One-Dimensional Bar without Energy Dissipation

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
A. M. Abd El-Latief ◽  
S. E. Khader
Keyword(s):  
Exact Solution ◽  
Relaxation Time ◽  
Thermal Stress ◽  
Energy Dissipation ◽  
Heat Source ◽  
Half Space ◽  
Time Dependent ◽  
One Dimensional ◽  
The Laplace Transform ◽  
Without Energy Dissipation

We consider a homogeneous isotropic thermoelastic half-space in the context of the theory of thermoelasticity without energy dissipation. There are no body forces or heat source acting on the half-space. The surface of the half-space is affected by a time dependent thermal shock and is traction free. The Laplace transform with respect to time is used. The inverse transforms are obtained in an exact manner for the temperature, thermal stress, and displacement distributions. These solutions are represented graphically and discussed for several cases of the applied heating. Comparison is made between the predictions here and those of the theory of thermoelasticity with one relaxation time.

Thermoelastic interactions without energy dissipation due to a line heat source

1998 ◽  
Vol 128 (3-4) ◽  
pp. 243-251 ◽  
Author(s):  
D. S. Chandrasekharaiah ◽  
K. S. Srinath
Keyword(s):  
Energy Dissipation ◽  
Heat Source ◽  
Line Heat Source ◽  
Without Energy Dissipation

Thermopiezoelectricity without energy dissipation

2007 ◽  
Vol 464 (2091) ◽  
pp. 631-657 ◽  
Author(s):  
D Ieşan
Keyword(s):  
Energy Dissipation ◽  
Initial Data ◽  
Heat Source ◽  
Spherical Shell ◽  
Continuous Dependence ◽  
Body Force ◽  
Uniqueness Result ◽  
Thermal Waves ◽  
Finite Speed ◽  
Without Energy Dissipation

In this paper, we use the Green–Naghdi theory of thermomechanics of continua to derive a linear theory of thermopiezoelectricity of a body with inner structure. This theory permits propagation of thermal waves at finite speed. We establish a uniqueness result and a continuous dependence of the solutions upon initial data and body supplies. Some applications (the problem of a concentrated heat source, the problem of an impulsive body force, the deformation of a thick-walled spherical shell) are presented.

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