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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 4/2024

11.03.2024 | Original

Fractional order of refined Lord–Shulman model for a 1D thermoelastic response of skin tissue due to ramp-type heating

verfasst von: A. M. Zenkour, T. Saeed, A. A. Al-Raezah

Erschienen in: Archive of Applied Mechanics | Ausgabe 4/2024

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Abstract

This manuscript introduces a novel mathematical formulation employing fractional-order principles to analyze the response of skin tissue exposed to ramp-type heating within the framework of the refined Lord–Shulman generalized thermoelasticity model. The classical, simple Lord–Shulman, and refined Lord–Shulman models are each examined. The governing equations for these three models are derived, and a general solution for the initial and boundary condition problem is obtained using the Laplace transform approach and its inverse. Numerical results are illustrated through figures, providing a comparative analysis across various theories and fractional-order values to elucidate the impact on temperature, displacement, and dilatation distributions. The numerical and graphical exploration of the influence of ramp-type heat on temperature, displacement, and dilatation distributions is conducted, considering different theoretical frameworks. The reduction in the conductivity caused by the fractional parameter and its ensuing effects on temperature, displacement, and stress are determined.
Vorheriger Artikel A modified analysis method of mechanical properties of trapezoidal composite box girders
Nächster Artikel Variable cross sections functionally grad beams on Pasternak foundations: An enhanced interaction theory for construction applications

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Metadaten
Titel
Fractional order of refined Lord–Shulman model for a 1D thermoelastic response of skin tissue due to ramp-type heating
verfasst von
A. M. Zenkour
T. Saeed
A. A. Al-Raezah
Publikationsdatum
11.03.2024
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 4/2024
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-024-02561-1

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