Mathematical Modeling and Analysis of Magneto Thermoelastic Plate

Nonlinear equations of thermoelastic plates in an electromagnetic field are developed with consideration of a material nonlinearity. Using the Maxwell equations for an electromagnetic field, the modified Fourier law of heat conduction and elastokinetic field equations, the three-dimensional coupled...

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Bibliographic Details
Published in:Journal of thermal stresses 2009-01, Vol.32 (1-2), p.65-78
Main Author: Hasanyan, D. J.
Format: Article
Language:English
Subjects:
Existence and uniqueness of solution
Magneto-thermoelasticity
Nonlinear plates
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Summary:Nonlinear equations of thermoelastic plates in an electromagnetic field are developed with consideration of a material nonlinearity. Using the Maxwell equations for an electromagnetic field, the modified Fourier law of heat conduction and elastokinetic field equations, the three-dimensional coupled problem is reduced to a two-dimensional one, appropriate for plates. The existence and uniqueness of the solution of a system of partial differential equations arising from the modeling of current carrying thermoelastic plate-strip in a longitudinal magnetic field is proven.
ISSN:0149-5739
1521-074X
DOI:10.1080/01495730802540155