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Two-dimensional problem of a fibre-reinforced anisotropic thermoelastic medium. Comparison with the Green–Naghdi theory

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The propagation of plane waves in fibre-reinforced, anisotropic, elastic media is discussed. The theory of generalized thermoelasticity proposed by Green and Naghdi is used to solve the problem. Normal mode analysis is used to obtain analytical expressions of the displacement components, stresses, and temperature distribution. Numerical results for the temperature distribution, displacement components, and thermal stress are given and illustrated graphically. Comparisons are made with the results predicted by the Green–Naghdi theory, types II and III, in the presence and absence of fibre-reinforced media.

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Othman, M.I.A., Atwa, S.Y. Two-dimensional problem of a fibre-reinforced anisotropic thermoelastic medium. Comparison with the Green–Naghdi theory. Comput Math Model 24, 307–325 (2013). https://doi.org/10.1007/s10598-013-9179-9

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