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http://dx.doi.org/10.12989/gae.2020.21.1.085

Fractional order thermoelastic wave assessment in a two-dimension medium with voids  

Hobiny, Aatef D. (Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University)
Abbas, Ibrahim A. (Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University)
Publication Information
Geomechanics and Engineering / v.21, no.1, 2020 , pp. 85-93 More about this Journal
Abstract
In this article, the generalized thermoelastic theory with fractional derivative is presented to estimate the variation of temperature, the components of stress, the components of displacement and the changes in volume fraction field in two-dimensional porous media. Easily, the exact solutions in the Laplace domain are obtained. By using Laplace and Fourier transformations with the eigenvalues method, the physical quantities are obtained analytically. The numerical results for all the physical quantities considered are implemented and presented graphically. The results display that the present model with the fractional derivative is reduced to the Lord and Shulman (LS) and the classical dynamical coupled (CT) theories when the fractional parameter is equivalent to one and the delay time is equal to zero and respectively.
Keywords
fractional derivative; Laplace-Fourier transforms; porous medium; eigenvalues approach;
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Times Cited By KSCI : 12  (Citation Analysis)
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