New Insights on Fractional GN II Thermoelasticity Theory
Publication: Journal of Engineering Mechanics
Volume 148, Issue 8
Abstract
In the framework of recent research on Fourier’s heat conduction law with fractional orders, a novel model of Green-Naghdi of type II (GN II) thermoelasticity has been devised. The uniqueness theorem has been established for a unified heat transport equation. As limit instances, certain theories are presented. The problem is solved using the Laplace and Fourier transform techniques. By using a complex transform reversal formula, Fourier expansion techniques are utilized to quantitatively build the reverses of Fourier transforms and Laplace processes. For temperature, displacement, and stress distributions, numerical findings are presented and visually displayed. The findings obtained for various choices of time-fraction parameters create certain correlations.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
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Published In
Journal of Engineering Mechanics
Volume 148 • Issue 8 • August 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Sep 23, 2021
Accepted: Feb 8, 2022
Published online: May 31, 2022
Published in print: Aug 1, 2022
Discussion open until: Oct 31, 2022
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