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Zbl 1211.74068
Ezzat, Magdy A.; Othman, Mohamed I.; El-Karamany, Ahmed M.S.
State space approach to two-dimensional generalized thermo-viscoelasticity with two relaxation times. (English)
[J] Int. J. Eng. Sci. 40, No. 11, 1251-1274 (2002). ISSN 0020-7225

Summary: The model of the two-dimensional equations of generalized thermo-viscoelasticity with two relaxation times is established. The state space formulation for two-dimensional problems is introduced. 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 exponentially with time. The Fourier transforms are inverted analytically. A numerical method is employed for the inversion of the Laplace transforms. Numerical results are given and illustrated graphically for the problem considered. Comparisons are made with the results predicted by the coupled theory.

MSC 2000:: *74F05 Thermal effects
74D05 Linear constitutive equations
74H15 Numerical approximation of solutions

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