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

Rajesh Kumar (Department of Applied Sciences, School of Engineering and Technology, The NorthCap University, Gurugram, India)
Seema Thakran (Department of Applied Sciences, School of Engineering and Technology, The NorthCap University, Gurugram, India)
Ankush Gunghas (Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, India)
Kapil Kumar Kalkal (Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, India)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 9 December 2020

Issue publication date: 6 July 2021

139

Abstract

Purpose

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/approach

Normal mode technique is proposed to obtain the exact expressions for the displacement components, stresses and temperature field.

Findings

Numerical 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/value

Influences 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.

Keywords

Acknowledgements

Disclosure statement: No potential conflict of interest was reported by the authors.

Citation

Kumar, R., Thakran, S., Gunghas, A. and Kalkal, K.K. (2021), "Transient disturbances in a nonlocal functionally graded thermoelastic solid under Green–Lindsay model", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 7, pp. 2288-2307. https://doi.org/10.1108/HFF-08-2020-0514

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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