Unified fractional derivative models of magneto-thermo-viscoelasticity theory

Ezzat, M. A.; El-Bary, A. A.

Artykuł - szczegóły

Tytuł artykułu

Unified fractional derivative models of magneto-thermo-viscoelasticity theory

Autorzy

Ezzat M. A. , El-Bary A. A.

Wybrane pełne teksty z tego czasopisma

https://am.ippt.pan.pl/index.php/am

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Warianty tytułu

Języki publikacji

Abstrakty

A unified mathematical model of fractional magneto-thermo-viscoelasticty for isotropic perfectly conducting media involving fractional relaxation operator is given. Some essential theorems on the linear coupled and generalized theories of thermoviscoelasticity can be easily obtained. The new fractional model is applied to a halfspace subjected to two different forms of time-dependent thermal shock in, the presence of a transverse magnetic field. The Laplace transform techniques are used. Numerical computation is performed by using a numerical inversion technique and the resulting quantities are shown graphically. The effects of the fractional orders on viscoelastic material are discussed.

Słowa kluczowe

magneto-thermo-viscoelasticity generalized theories of thermoelasticity fractional relaxation operator Laplace transforms fractional calculus numerical results

Wydawca

Instytut Podstawowych Problemów Techniki PAN

Czasopismo

Archives of Mechanics

Rocznik

2016

Tom

Vol. 68, nr 4

Strony

285--308

Opis fizyczny

Bibliogr. 78 poz., rys., wykr.

Twórcy

autor

Ezzat M. A.

maezzat2000@yahoo.com

Faculty of Education Department of Mathematics Alexandria University Alexandria, Egypt

autor

El-Bary A. A.

aaelbary@aast.edu

Arab Academy for Science and Technology P.O. Box 1029 Alexandria, Egypt

Bibliografia

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