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Strength of Materials
Published in: Strength of Materials 3/2019

15-08-2019

Fractional Order Thermoelastic Wave Assessment in a Nanoscale Beam Using the Eigenvalue Technique

Authors: I. Abbas, F. Alzahrani, A. N. Abdalla, F. Berto

Published in: Strength of Materials | Issue 3/2019

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Abstract

This paper presents an analytical approach associated with Laplace transforms and a sequential concept over time to obtain the increment of temperature in nanoscale beam with fractional order heat conduction clamped from both ends. The governing equations are written in the forms of differential equations of matrix-vector in the domain of the Laplace transforms and are then solved by the eigenvalue technique. The analytical solutions are obtained for the increment of temperature, displacement, lateral deflection, and stresses in the Laplace domain. Numerical simulations are provided for silicon-like nanoscale beam material, with graphical display of calculated results. The physical implications of distributions of physical variables considered in this article are discussed.
previous article Effect of Shock and Vibration Preloading on the Deformation and Fracture Behavior of 17G1S-U Steel
next article Effects of Undercooling and Transformation Time on Microstructure and Strength of Fe–C–Mn–Si Superbainitic Steel

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Metadata
Title
Fractional Order Thermoelastic Wave Assessment in a Nanoscale Beam Using the Eigenvalue Technique
Authors
I. Abbas
F. Alzahrani
A. N. Abdalla
F. Berto
Publication date
15-08-2019
Publisher
Springer US
Published in
Strength of Materials / Issue 3/2019
Print ISSN: 0039-2316
Electronic ISSN: 1573-9325
DOI
https://doi.org/10.1007/s11223-019-00089-2

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