2D Problem for a Long Cylinder in the Fractional Theory of Thermoelasticity

Sherief, Hany H.

doi:10.1590/1679-78252431

Cited by 8 publications

(1 citation statement)

References 18 publications

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“…Some comparisons square measure shown in figures to estimate the impact of the fractional order parameter all told the fields studied. All numerical results are fully agreement with previous work of thermoelastic theories (see, as an example, [24][25][26][27][28][29][30][31]). General sketch for a half area downside is shown in Figure 1.…”

Section: Introductionsupporting

confidence: 89%

New fractional model for 2 dimensional half space problem with in the theory of generalized thermoelastic diffusion

Hussein

2021

Z Angew Math Mech

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In this manuscript, the generalized thermoelastic diffusion theory is modified by using fractional derivatives. The revised equation is employed to study a twodimensional problem of the axisymmetric temperature distribution during a half space with a permeating substance in touch with the bounding plane. The surface of the half space is taken into account to be traction-free and subject to an axisymmetric temperature distribution. Laplace and Hankel transformation techniques are used. The analytical solution within the transform domain is obtained by an immediate method. By employing a numerical method supported the Fourier expansion technique, the inverse of the double transforms is often obtained. Numerical results for the temperature, displacement, stress, concentration, and chemical potential are administered and represented graphically. The figures show some comparisons to estimate the impact of fractional parameter on all research areas.

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