# Effect of fractional parameter on plane waves in a rotating elastic medium under fractional order generalized thermoelasticity

Abstract: In ["Theory of fractional order generalized thermoelasticity," Journal of Heat Transfer132, 2010] Youssef has proposed a model in generalized thermoelasticity based on the fractional order time derivatives. The current manuscript is concerned with a two-dimensional generalized thermoelastic coupled problem for a homogeneous isotropic and thermally conducting thermoelastic rotating medium in the context of the above fractional order generalized thermoelasticity with two relaxation time parameters. The normal mode analysis technique is used to solve the resulting non-dimensional coupled governing equations of the problem. The resulting solution is then applied to two concrete problems. The effect of the fractional parameter and the time instant on the variations of different field quantities inside the elastic medium are analyzed graphically in the presence of rotation.

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### Cites methods from "Effect of fractional parameter on p..."

...By employing this theory, Sarkar and Lahiri [25] concerned a two-dimensional generalized thermoelastic problem for a rotating elastic medium....

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...[25] N. Sarkar and A. Lahiri, “Effect of fractional parameter on plane waves in a rotating elastic medium under fractional order generalized thermoelasticity,” International Journal of Applied Mechanics, vol. 4, no. 3, Article ID 1250030, 2012....

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