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外文期刊>Journal of thermal stresses
>State-space approach to generalized magento- thermoelasticity with thermal relaxation in a medium of perfect conductivity
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State-space approach to generalized magento- thermoelasticity with thermal relaxation in a medium of perfect conductivity
The model of the two -dimensional equations of generalized magentothermoelasticity with one relaxation time in a perfectly conducting medium is established. The method of the matrix exponential [Bahar and Hetnarski, J. Thermal Stresses, vol. 1, pp. 135-145, 1978] which constitutes the basis of the state-space approach of modern theory, is applied to the nondimensional equations. Laplace and Fourier integral transforms are used. The resulting formulation is applied to a problem of a thick plate subject to heating on parts of the upper and lower surfaces of the plate that varies exponentsially with time.
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