Techno Press


Earthquakes and Structures   Volume 10, Number 3, March 2016, pages 681-697
DOI: http://dx.doi.org/10.12989/eas.2016.10.3.681
 
Non-simple magnetothermoelastic solid cylinder with variable thermal conductivity due to harmonically varying heat
Ashraf M. Zenkour and Ahmed E. Abouelregal

 
Abstract     [Full Text]
    The model of two-temperature magneto-thermoelasticity for a non-simple variable-thermalconductivity infinitely-long solid cylinder is established. The present cylinder is made of an isotropic homogeneous thermoelastic material and its bounding plane is traction-free and subjected to a timedependent temperature. An exact solution is firstly obtained in Laplace transform space to obtain the displacement, incremental temperature, and thermal stresses. The inversion of Laplace transforms has been carried out numerically since the response is of more interest in the transient state. A detailed analysis of the effects of phase-lags, an angular frequency of thermal vibration and the variability of thermal conductivity parameter on the field quantities is presented.
 
Key Words
    thermoelasticity; phase-lags; non-simple; solid cylinder; variable thermal conductivity
 
Address
Ashraf M. Zenkour: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Ashraf M. Zenkour: Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt

Ahmed E. Abouelregal: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Ahmed E. Abouelregal: Department of Mathematics, College of Science and Arts, Aljouf University, El-Qurayat, Saudi Arabia
 

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