Eigenvalue approach to a magneto-thermoelastic problem in transversely isotropic hollow cylinder: comparison of three theories

Biswas, Siddhartha

doi:10.1080/17455030.2019.1588484

Cited by 9 publications

(3 citation statements)

References 33 publications

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“…Singh [19] investigated the reflection of plane wave propagation in a transversely isotropic thermoelastic medium with an initially presented stress. In recent years, some of the important contributions to the investigation in transversely isotropic medium are the existing research works by Biswas [20], Sheoran et al. [21] and Barak and Dhankhar [22].…”

Section: Introductionmentioning

confidence: 99%

Propagation of plane waves in a nonlocal transversely isotropic thermoelastic medium with voids and rotation

2023

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The objective of present research work is to investigate the propagation of time harmonic plane waves in a rotating, nonlocal, transversely isotropic thermoelastic half-space having void pores in the context of Lord-Shulman theory. It has been observed that four coupled plane waves travel in such type of medium with distinct speeds. Using appropriate boundary conditions, the amplitude and energy ratios for the reflected waves are presented. Numerical computations for a magnesium crystal-like material are performed with the help of MATLAB software to study the effects of material anisotropy, nonlocal, void and rotation parameters on the amplitude ratios. The computational results are displayed and explained through graphs. The phase velocities of plane waves in transversely isotropic medium are found to depend upon the incident angle, whereas these attain constant values in an isotropic medium. The energy conservation law is also justified during the reflection phenomena.

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Section: Introductionmentioning

confidence: 99%

Propagation of plane waves in a nonlocal transversely isotropic thermoelastic medium with voids and rotation

2023

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“…Biswas [ 14 ] studied the thermal shock problem in porous, orthotropic material under the three-phase-lag theory. Biswas [ 15 ] used the eigenvalues approach to study the magneto-thermo-elastic problem in a transversely isotropic, hollow cylinder. Balubaid et al [ 16 ] studied the dynamical behaviors of orthotropic, elastic materials using analytical solutions.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Thermoelastic Interaction in a Polymeric Orthotropic Medium Using the Finite Element Method

et al. 2022

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In this work, the finite element technique is employed to evaluate the effects of thermal relaxation durations on temperature, displacements, and stresses in a two-dimensional, polymeric, orthotropic, elastic medium. The problem is considered in a homogeneous, polymeric, orthotropic medium in the context of the Green and Lindsay model with two thermal relaxation times. The bounding surface of the half-space was subjected to a heat flux with an exponentially decaying pulse. Finite element techniques were used to solve the governing formulations, with eight-node isoparametric rectangular elements with three degrees of freedom (DOF) per node. The developed method was calculated using numerical results applied to the polymeric, orthotropic medium. The findings were implemented and visually shown. Finally, the results were displayed to demonstrate the differences between classical dynamic coupling (CT), the Lord–Shulman (LS) and the Green and Lindsay (GL) models.

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“…Biswas et al (2019) considered the effect of rotation in a magneto-thermoelastic transversely isotropic hollow cylinder with 1213 Isotropic hollow cylinder the TPL model. Biswas (2019) employed an eigenvalue approach to a magnetothermoelastic problem in a transversely isotropic hollow cylinder under three different theories. Sarkar and Mondal (2019) investigated transient responses in a two-temperature thermoelastic infinite medium having cylindrical cavity due to moving heat source with memory-dependent derivative.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of transversely isotropic hollow cylinder considering three different theories using the matrix Frobenius method

Biswas

2019

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Purpose The purpose of this paper is to deal with the three-dimensional analysis of free vibrations in a stress-free and rigidly fixed homogeneous transversely isotropic hollow cylinder in the context of three-phase-lag (TPL) model of hyperbolic thermoelasticity. Design/methodology/approach The matrix Frobenius method of extended power series is employed to obtain the solution of coupled ordinary differential equations along the radial coordinate. Findings The natural frequency, dissipation factor and inverse quality factor in the stress-free and rigidly fixed hollow cylinder get significantly affected due to thermal vibrations and thermo-mechanical coupling. Originality/value The modified Bessel functions and matrix Frobenius method have been directly used to study the vibration model of a homogeneous, transversely isotropic hollow cylinder in the context of TPL model based on three-dimensional thermoelasticity.

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Eigenvalue approach to a magneto-thermoelastic problem in transversely isotropic hollow cylinder: comparison of three theories

Cited by 9 publications

References 33 publications

Propagation of plane waves in a nonlocal transversely isotropic thermoelastic medium with voids and rotation

Propagation of plane waves in a nonlocal transversely isotropic thermoelastic medium with voids and rotation

Analysis of Thermoelastic Interaction in a Polymeric Orthotropic Medium Using the Finite Element Method

Vibration analysis of transversely isotropic hollow cylinder considering three different theories using the matrix Frobenius method

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