The Effect of Hydrostatic Initial Stress on the Plane Waves in a Fiber-Reinforced Magneto-Thermoelastic Medium with Fractional Derivative Heat Transfer

An effect of three factors - the order of fractional derivative, the hydrostatic initial stress, and parameter of magnetic field – on the plane waves in the half-space made of fiber-reinforced material, that is described by the theory of generalized magnetothermoelasticity, is studied. The problem i...

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Bibliographic Details
Date:2016
Main Authors: Sarkar, N., Atwa, S.Y., Othman, M.I.A.
Format: Article
Language:English
Published: Інститут механіки ім. С.П. Тимошенка НАН України 2016
Series:Прикладная механика
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/141049
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Effect of Hydrostatic Initial Stress on the Plane Waves in a Fiber-Reinforced Magneto-Thermoelastic Medium with Fractional Derivative Heat Transfer / N. Sarkar, S.Y. Atwa, M.I.A. Othman // Прикладная механика. — 2016. — Т. 52, № 2. — С. 126-143. — Бібліогр.: 34 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:An effect of three factors - the order of fractional derivative, the hydrostatic initial stress, and parameter of magnetic field – on the plane waves in the half-space made of fiber-reinforced material, that is described by the theory of generalized magnetothermoelasticity, is studied. The problem is solved numerically using the normal mode analysis. The results correspond to the Lord-Shulman model and the model, that uses the fractional derivatives and are presented in the form of graphs. The findings show pronounced effect of mentioned three factors. The results are compared with the case, when the initial stress and magnetic field are absent.