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The photothermal interaction of a semiconducting solid sphere based on three Green-Naghdi theories due to the fractional-order strain and ramp-type heating

The photothermal interaction of a semiconducting solid sphere based on three Green-Naghdi... The present article deals with a new mathematical model of a thermoelastic semiconducting solid sphere based on the Green-Naghdi theories (type-I, type-II, and type-III) to study the photothermal interaction. The fractional-order strain consideration has been applied. The bounding surface of the sphere has been thermally loaded by ramp-type heating. Laplace’s transform has been carried out, and its inversions have been computed numerically using the Tzou method. The numerical results have been presented in figures with various values of the fractional order and ramp-time heat parameters. The fractional-order and ramp-time heat parameters significantly affect all the studied functions. The ramp-time heat parameter could be used to tune the thermomechanical energy among the interaction of the thermoelastic body due to thermal loading. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mechanics of Time-Dependent Materials Springer Journals

The photothermal interaction of a semiconducting solid sphere based on three Green-Naghdi theories due to the fractional-order strain and ramp-type heating

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References (48)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer Nature B.V. 2022
ISSN
1385-2000
eISSN
1573-2738
DOI
10.1007/s11043-022-09543-2
Publisher site
See Article on Publisher Site

Abstract

The present article deals with a new mathematical model of a thermoelastic semiconducting solid sphere based on the Green-Naghdi theories (type-I, type-II, and type-III) to study the photothermal interaction. The fractional-order strain consideration has been applied. The bounding surface of the sphere has been thermally loaded by ramp-type heating. Laplace’s transform has been carried out, and its inversions have been computed numerically using the Tzou method. The numerical results have been presented in figures with various values of the fractional order and ramp-time heat parameters. The fractional-order and ramp-time heat parameters significantly affect all the studied functions. The ramp-time heat parameter could be used to tune the thermomechanical energy among the interaction of the thermoelastic body due to thermal loading.

Journal

Mechanics of Time-Dependent MaterialsSpringer Journals

Published: Dec 1, 2023

Keywords: Generalized thermoelasticity; Solid sphere; Fractional-order; Photothermal effect; Carrier density; Green-Naghdi theories; Ramp-type heat

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