scholarly journals Mathematical Model for Thermal Shock Problem of a Generalized Thermoelastic Layered Composite Material with Variable Thermal Conductivity

2006 ◽  
Vol 12 (2) ◽  
pp. 165-171 ◽  
Author(s):  
H. M. Youssef ◽  
A. A. El-Bary
2006 ◽  
Vol 2006 ◽  
pp. 1-14 ◽  
Author(s):  
H. M. Youssef ◽  
A. A. El-Bary

The dynamic treatment of one-dimensional generalized thermoelastic problem of heat conduction is made for a layered thin plate which is exposed to a uniform thermal shock taking into account variable thermal conductivity. The basic equations are transformed by Laplace transform and solved by a direct method. The solution was applied for a plate of sandwich structure, which is thermally shocked, and is traction-free in the outer sides. The inverses of Laplace transforms are obtained numerically. The temperature, the stress, and the displacement distributions are represented graphically.


2021 ◽  
pp. 130165
Author(s):  
A.D. Prokopets ◽  
P.M. Bazhin ◽  
A.S. Konstantinov ◽  
A.P. Chizhikov ◽  
M.S. Antipov ◽  
...  

2019 ◽  
Vol 1281 ◽  
pp. 012057 ◽  
Author(s):  
E O Nasakina ◽  
M A Sudarchikova ◽  
K Yu Demin ◽  
M A Gol’dberg ◽  
M I Baskakova ◽  
...  

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1230
Author(s):  
Faris Alzahrani

In this work, the generalized photo-thermo-elastic model with variable thermal conductivity is presented to estimates the variations of temperature, the carrier density, the stress and the displacement in a semiconductor material. The effects of variable thermal conductivity under photo-thermal transport process is investigated by using the coupled model of thermoelastic and plasma wave. The surface of medium is loaded by uniform unit step temperature. Easily, the analytical solutions in the domain of Laplace are obtained. By using Laplace transforms with the eigenvalue scheme, the fields studied are obtained analytically and presented graphically.


2011 ◽  
Author(s):  
Igor Andrianov ◽  
Vladislav Danishevs’kyy ◽  
Dieter Weichert ◽  
Heiko Topol ◽  
Theodore E. Simos ◽  
...  

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