A novel magneto-thermoelasticity theory with memory-dependent derivative

2015 ◽  
Vol 29 (8) ◽  
pp. 1018-1031 ◽  
Author(s):  
Magdy A. Ezzat ◽  
Ahmed S. El-Karamany ◽  
Alaa A. El-Bary
2016 ◽  
Vol 24 (11) ◽  
pp. 908-916 ◽  
Author(s):  
Magdy A. Ezzat ◽  
Ahmed S. El-Karamany ◽  
Alaa A. El-Bary

2020 ◽  
Vol 142 (10) ◽  
Author(s):  
Biswajit Singh ◽  
Indranil Sarkar ◽  
Smita Pal (Sarkar)

Abstract This article is focused on developing a new mathematical model on the temperature-rate-dependent thermoelasticity theory (Green–Lindsay), using the methodology of memory-dependent derivative (MDD). First, the energy theorem of this model associated with two relaxation times in the context of MDD is derived for homogeneous, isotropic thermoelastic medium. Second, a uniqueness theorem for this model is proved using the Laplace transform technique. A variational principle for this model is also established. Finally, the results for Green–Lindsay model without MDD and coupled theory are obtained from the considered model.


2015 ◽  
Vol 04 (S 01) ◽  
Author(s):  
M. Solomons
Keyword(s):  

2012 ◽  
Vol E95-C (3) ◽  
pp. 382-394
Author(s):  
Yasuyuki OISHI ◽  
Shigekazu KIMURA ◽  
Eisuke FUKUDA ◽  
Takeshi TAKANO ◽  
Daisuke TAKAGO ◽  
...  

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