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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 11/2022

09.08.2022 | Original

A comparative study of a thermoelastic problem for an infinite rigid cylinder with thermal properties using a new heat conduction model including fractional operators without non-singular kernels

verfasst von: Ahmed E. Abouelregal

Erschienen in: Archive of Applied Mechanics | Ausgabe 11/2022

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Abstract

In this research, two alternative approaches to fractional derivatives, namely Caputo–Fabrizio (CF) and Atangana–Baleanu (AB) fractional operators, are used to propose a generalized model of thermoelastic heat transfer of a rigid cylinder with thermal characteristics. The proposed model can be constructed by combining the DPL model with phase delays and the two temperature theories. It will be taken into account that the solid cylinder has variable physical properties. It was also assumed that the surface of the cylinder is penetrated by a continuous magnetic field and is regularly exposed to thermal loading from a continuous heat source. The numerical solutions of the studied physical fields in the AB and CF fractional derivative cases were derived using the Laplace transform method and are compared visually and tabularly and discussed in detail.
Vorheriger Artikel Research on tunable characteristics of trapped thickness-twist waves in a magneto-elastic inhomogeneous plate
Nächster Artikel Vibration and acoustic radiation characteristics of simply supported curved plate in thermal environment

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Metadaten
Titel
A comparative study of a thermoelastic problem for an infinite rigid cylinder with thermal properties using a new heat conduction model including fractional operators without non-singular kernels
verfasst von
Ahmed E. Abouelregal
Publikationsdatum
09.08.2022
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 11/2022
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-022-02228-9

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