A 2D problem of thermoelasticity without energy dissipation for a sphere subjected to axisymmetric temperature distribution

2017 ◽  
Vol 40 (11) ◽  
pp. 1461-1470 ◽  
Author(s):  
Hany H. Sherief ◽  
W. E. Raslan
Keyword(s):  
Temperature Distribution ◽  
Energy Dissipation ◽  
Without Energy Dissipation ◽  
Axisymmetric Temperature

Exact solution of a 2D problem of thermoelasticity without energy dissipation for an infinitely long cylinder

2021 ◽  
pp. 108128652110036
Author(s):  
Hany H Sherief ◽  
Mohammed A Elhagary
Keyword(s):  
Exact Solution ◽  
Temperature Distribution ◽  
Energy Dissipation ◽  
Circular Cylinder ◽  
External Surface ◽  
Direct Approach ◽  
Without Energy Dissipation ◽  
Long Cylinder

We consider a 2D problem of a circular cylinder that is infinitely long and whose external surface is free from outside effects and acted upon by an asymmetrical temperature distribution that is harmonic in time. The problem is within the context of the theory of thermoelasticity without energy dissipation. The exact solution is obtained by a direct approach. The results are represented graphically and discussed.

scholarly journals The Effect of a Hyperbolic Two-Temperature Model with and without Energy Dissipation in a Semiconductor Material

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1711
Author(s):  
Faris Alzahrani ◽  
Ibrahim Abbas
Keyword(s):  
Energy Dissipation ◽  
Thermodynamic Temperature ◽  
Temperature Model ◽  
Conductive Temperature ◽  
Mechanical Waves ◽  
Without Energy Dissipation ◽  
Thermoelastic Waves ◽  
Analytical Expressions ◽  
Thermoelastic Theory ◽  
Two Temperature

In this work, the new model of photothermal and elastic waves, with and without energy dissipation, under a hyperbolic two-temperature model, is used to compute the displacement, carrier density, thermodynamic temperature, conductive temperature and stress in a semiconductor medium. The medium is considered in the presence of the coupling of plasma and thermoelastic waves. To get the complete analytical expressions of the main physical fields, Laplace transforms and the eigenvalue scheme are used. The outcomes are presented graphically to display the differences between the classical two-temperature theory and the new hyperbolic two-temperature theory, with and without energy dissipation. Based on the numerical results, the hyperbolic two-temperature thermoelastic theory offers a finite speed of mechanical waves and propagation of thermal waves.

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