Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Smart Structures and Systems Volume 19, Number 5, May 2017 , pages 539-551 DOI: https://doi.org/10.12989/sss.2017.19.5.539 |
|
|
|
Thermoelectric viscoelastic materials with memory-dependent derivative |
||
Magdy A. Ezzat, Ahmed S. El Karamany and A.A. El-Bary
|
||
| Abstract | ||
| A mathematical model of electro-thermoelasticity has been constructed in the context of a new consideration of heat conduction with memory-dependent derivative. The governing coupled equations with time-delay and kernel function, which can be chosen freely according to the necessity of applications, are applied to several concrete problems. The exact solutions for all fields are obtained in the Laplace transform domain for each problem. According to the numerical results and its graphs, conclusion about the proposed model has been constructed. The predictions of the theory are discussed and compared with dynamic classical coupled theory. The result provides a motivation to investigate conducting thermoelectric viscoelastic materials as a new class of applicable materials. | ||
| Key Words | ||
| magneto-thermo-viscoelasticity; thermoelectric materials; memory-dependent derivative; time-delay; kernel function; numerical results | ||
| Address | ||
| Magdy A. Ezzat:Department of Mathematics, Faculty of Education, Alexandria University, Egypt Ahmed S. El Karamany: Department of Mathematical and Physical Sciences, Nizwa University, Nizwa -611, P.O. Box 1357, Oman A.A. El-Bary: Arab Academy for Science and Technology, P.O. Box 1029, Alexandria, Egypt | ||