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Two-dimensional deformations in an initially stressed nonlocal micropolar thermoelastic porous medium subjected to a moving thermal load

Sandeep Kundu (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)
Monika Sangwan (Department of Mathematics, Maharshi Dayanand University, Rohtak, India)
Devender Sheoran (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: 15 November 2022

Issue publication date: 20 January 2023

154

Abstract

Purpose

The purpose of the present paper is to investigate the thermo-mechanical interactions in an initially stressed nonlocal micropolar thermoelastic half-space having void pores under Lord–Shulman model. A moving thermal shock is applied to the formulation.

Design/methodology/approach

The normal mode technique is adopted to obtain the exact expressions of the physical quantities.

Findings

Numerical computations for stresses, displacement components, temperature field and change in the volume fraction field are performed for suitable material and are depicted graphically. Some comparisons have been shown in figures to estimate the effects of micropolarity, initial stress, voids, nonlocal parameter and time on the resulting quantities.

Originality/value

The exact expressions for the displacement components, stresses, temperature and change in the volume fraction field are obtained in the physical domain. Although numerous investigations do exist to observe the disturbances in a homogeneous, isotropic, initially stressed, micropolar thermoelastic half-space, the work in its current form has not been established by any scholar till now. The originality of the present work lies in the formulation of a fresh research problem to investigate the dependence of different physical fields on nonlocality parameters, micropolarity, initial stress, porosity and time due to the application of a moving thermal shock.

Keywords

Acknowledgements

The authors are thankful to the Department of Science and Technology, New Delhi, for providing financial assistance through Grant No. SR/FST/MS-1/2017/4/2017 to the Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar.

Disclosure statement: The authors declare that they have no conflict of interest.

Citation

Kundu, S., Kalkal, K.K., Sangwan, M. and Sheoran, D. (2023), "Two-dimensional deformations in an initially stressed nonlocal micropolar thermoelastic porous medium subjected to a moving thermal load", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 3, pp. 1116-1143. https://doi.org/10.1108/HFF-04-2022-0231

Publisher

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Emerald Publishing Limited

Copyright © 2022, Emerald Publishing Limited

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