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Erschienen in: Microsystem Technologies 6/2017

15.03.2016 | Technical Paper

Generalized fractional magneto-thermo-viscoelasticity

verfasst von: Magdy A. Ezzat, Alaa A. El-Bary

Erschienen in: Microsystem Technologies | Ausgabe 6/2017

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Abstract

The new model of the equations of the linear theory of magneto-thermo-viscoelasticity with two relaxation times and fractional heat transfer involving fractional relaxation operator is given. The resulting formulation is applied to thermal shock problems for a perfect electrically conducting half-space in the presence of a transverse magnetic field. Laplace transform techniques are used. Some essential theorems on the linear coupled and generalized theories of thermo-viscoelasticity with two relaxation times are established. According to the numerical results and its graphs, conclusion about the new theory has been constructed. The effects of the fractional relaxation operator on viscoelastic material like poly (methyl methacrylate) (Perspex) are discussed.

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Metadaten
Titel
Generalized fractional magneto-thermo-viscoelasticity
verfasst von
Magdy A. Ezzat
Alaa A. El-Bary
Publikationsdatum
15.03.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Microsystem Technologies / Ausgabe 6/2017
Print ISSN: 0946-7076
Elektronische ISSN: 1432-1858
DOI
https://doi.org/10.1007/s00542-016-2904-5

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