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Eigenvalue formulation to micropolar porous thermoelastic circular plate using dual phase lag model

Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, India)
Aseem Miglani (Department of Mathematics, Choudhary Devilal University, Sirsa, India)
Rekha Rani (Department of Mathematics, Choudhary Devilal University, Sirsa, India)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 14 August 2017

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Abstract

Purpose

The purpose of this paper is to study the axisymmetric problem in a micropolar porous thermoelastic circular plate with dual phase lag model by employing eigenvalue approach subjected to thermomechanical sources.

Design/methodology/approach

The Laplace and Hankel transforms are employed to obtain the expressions for displacements, microrotation, volume fraction field, temperature distribution and stresses in the transformed domain. A numerical inversion technique has been carried out to obtain the resulting quantities in the physical domain. Effect of porosity and phase lag on the resulting quantities has been presented graphically. The results obtained for Lord Shulman theory (L-S, 1967) and coupled theory of thermoelasticity are presented as the particular cases.

Findings

The variation of temperature distribution is similar for micropolar thermoelastic with dual (MTD) phase lag model and coupled theory of thermoelasticity. The variation is also similar for tangential couple stress for MTD and L-S theory but opposite to couple theory. The behavior of volume fraction field and tangential couple stress for L-S theory and coupled theory are observed opposite. The values of all the resulting quantities are close to each other away from the sources. The variation in tangential stress, tangential couple stress and temperature distribution is more uniform.

Originality/value

The results are original and new because the authors presented an eigenvalue approach for two dimensional problem of micropolar porous thermoelastic circular plate with dual phase lag model. A comparison of porosity, L-S theory and coupled theory of micropolar thermoelasticity is made. Such problem has applications in material science, industries and earthquake problems.

Keywords

Citation

Kumar, R., Miglani, A. and Rani, R. (2017), "Eigenvalue formulation to micropolar porous thermoelastic circular plate using dual phase lag model", Multidiscipline Modeling in Materials and Structures, Vol. 13 No. 2, pp. 347-362. https://doi.org/10.1108/MMMS-08-2016-0038

Publisher

:

Emerald Publishing Limited

Copyright © 2017, Emerald Publishing Limited

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