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Transient disturbances in a nonlocal functionally graded thermoelastic solid under Green–Lindsay model

Transient disturbances in a nonlocal functionally graded thermoelastic solid under Green–Lindsay... The purpose of this study is to analyze the two-dimensional disturbances in a nonlocal, functionally graded, isotropic thermoelastic medium under the purview of the Green–Lindsay model of generalized thermoelasticity. The formulation is subjected to a mechanical load. All the thermomechanical properties of the solid are assumed to vary exponentially with the position.Design/methodology/approachNormal mode technique is proposed to obtain the exact expressions for the displacement components, stresses and temperature field.FindingsNumerical computations have been carried out with the help of MATLAB software and the results are illustrated graphically. These are also calculated numerically for a magnesium crystal-like material and illustrated through graphs. Theoretical and numerical results demonstrate that the nonlocality and nonhomogeneity parameters have significant effects on the considered physical fields.Originality/valueInfluences of nonlocality and nonhomogeneity on the physical quantities are carefully analyzed for isothermal and insulated boundaries. The present work is useful and valuable for analysis of problems involving mechanical shock, nonlocal parameter, functionally graded materials and elastic deformation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat and Fluid Flow Emerald Publishing

Transient disturbances in a nonlocal functionally graded thermoelastic solid under Green–Lindsay model

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References (42)

Publisher
Emerald Publishing
Copyright
© Emerald Publishing Limited
ISSN
0961-5539
DOI
10.1108/hff-08-2020-0514
Publisher site
See Article on Publisher Site

Abstract

The purpose of this study is to analyze the two-dimensional disturbances in a nonlocal, functionally graded, isotropic thermoelastic medium under the purview of the Green–Lindsay model of generalized thermoelasticity. The formulation is subjected to a mechanical load. All the thermomechanical properties of the solid are assumed to vary exponentially with the position.Design/methodology/approachNormal mode technique is proposed to obtain the exact expressions for the displacement components, stresses and temperature field.FindingsNumerical computations have been carried out with the help of MATLAB software and the results are illustrated graphically. These are also calculated numerically for a magnesium crystal-like material and illustrated through graphs. Theoretical and numerical results demonstrate that the nonlocality and nonhomogeneity parameters have significant effects on the considered physical fields.Originality/valueInfluences of nonlocality and nonhomogeneity on the physical quantities are carefully analyzed for isothermal and insulated boundaries. The present work is useful and valuable for analysis of problems involving mechanical shock, nonlocal parameter, functionally graded materials and elastic deformation.

Journal

International Journal of Numerical Methods for Heat and Fluid FlowEmerald Publishing

Published: Jul 6, 2021

Keywords: Normal mode analysis; Functionally graded materials; Green–Lindsay theory; Mechanical load; Nonlocal thermoelasticity; 2010 MSC; 74A15; 80A20

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