Dual-phase-lag model for a nonlocal micropolar thermoelastic half-space subjected to gravitational field and inclined load

Purpose The purpose of this study is to analyze the disturbances in a two-dimensional nonlocal, micropolar elastic medium under the dual-phase-lag model of thermoelasticity whose surface is subjected to an inclined mechanical load. The present study is carried out under the influence of gravity. Design/methodology/approach The normal mode technique is used to obtain the exact expressions of the physical fields. Findings For inclined mechanical load, the impact of micropolarity, nonlocal parameter, gravity and inclination angle have been highlighted on the considered physical fields. Originality/value The numerical results are computed for various physical quantities such as displacement, stresses and temperature for a magnesium crystal-like material and are illustrated graphically. The study is valuable for the analysis of thermoelastic problems involving gravitational field, nonlocal parameter, micropolarity and elastic deformations.

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A problem of thick circular plate in modified couple stress thermoelastic diffusion with phase-lags

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-09-2015-0054 ◽

2016 ◽

Vol 12 (3) ◽

pp. 478-494

Author(s):

Rajneesh Kumar ◽

Shaloo Devi ◽

Veena Sharma

Keyword(s):

Temperature Change ◽

Couple Stress ◽

Chemical Potential ◽

Phase Lag ◽

Dual Phase ◽

Field Equations ◽

Thermoelastic Diffusion ◽

Content Type ◽

Lag Model ◽

Modified Couple Stress

Purpose The purpose of this paper is to investigate the two-dimensional axisymmetric problem in a homogeneous, isotropic modified couple stress thermoelastic diffusion (TD) medium in the context of dual-phase-lag model. Design/methodology/approach The Laplace and Hankel transforms have been applied to find the general solution to the field equations. The components of displacement, stresses, temperature change and chemical potential are obtained in the transformed domain. The resulting quantities are obtained in the physical domain by using numerical inversion technique. Findings The components of normal stress, tangential stress, tangential couple stress, temperature change and chemical potential are obtained numerically and depicted graphically to see the effect of dual-phase-lag diffusion (DLD), dual-phase-lag heat transfer (DLT) and TD models in the absence and presence of couple stress parameter. Originality/value Comparisons are made in the absence and presence of couple stress DLD, DLT and TD models.

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Dual-phase-lag thermoelastic problem in finite cylindrical domain with relaxation time

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-03-2018-0041 ◽

2018 ◽

Vol 14 (5) ◽

pp. 837-856 ◽

Cited By ~ 2

Author(s):

Gaurav Mittal ◽

Vinayak Kulkarni

Keyword(s):

Heat Flux ◽

Relaxation Time ◽

Heat Conduction ◽

Generalized Thermoelasticity ◽

Phase Lag ◽

Dual Phase ◽

Cylindrical Domain ◽

Content Type ◽

Thick Circular Plate ◽

Lag Model

Purpose The purpose of this paper is to frame a dual-phase-lag model using the fractional theory of thermoelasticity with relaxation time. The generalized Fourier law of heat conduction based upon Tzou model that includes temperature gradient, the thermal displacement and two different translations of heat flux vector and temperature gradient has been used to formulate the heat conduction model. The microstructural interactions and corresponding thermal changes have been studied due to the involvement of relaxation time and delay time translations. This results in achieving the finite speed of thermal wave. Classical coupled and generalized thermoelasticity theories are recovered by considering the various special cases for different order of fractional derivatives and two different translations under consideration. Design/methodology/approach The work presented in this manuscript proposes a dual-phase-lag mathematical model of a thick circular plate in a finite cylindrical domain subjected to axis-symmetric heat flux. The model has been designed in the context of fractional thermoelasticity by considering two successive terms in Taylor’s series expansion of fractional Fourier law of heat conduction in the two different translations of heat flux vector and temperature gradient. The analytical results have been obtained in Laplace transform domain by transforming the original problem into eigenvalue problem using Hankel and Laplace transforms. The numerical inversions of Laplace transforms have been achieved using the Gaver−Stehfast algorithm, and convergence criterion has been discussed. For illustrative purpose, the dual-phase-lag model proposed in this manuscript has been applied to a periodically varying heat source. The numerical results have been depicted graphically and compared with classical, fractional and generalized thermoelasticity for various fractional orders under consideration. Findings The microstructural interactions and corresponding thermal changes have been studied due to the involvement of relaxation time and delay time translations. This results in achieving the finite speed of thermal wave. Classical coupled and generalized thermoelasticity theories are recovered by considering the various special cases for different order of fractional derivatives and two different translations under consideration. This model has been applied to study the thermal effects in a thick circular plate subjected to a periodically varying heat source. Practical implications A dual-phase-lag model can effectively be incorporated to study the transient heat conduction problems for an exponentially decaying pulse boundary heat flux and/or for a short-pulse boundary heat flux in long solid tubes and cylinders. This model is also applicable to study the various effects of the thermal lag ratio and the shift time. These dual-phase-lag models are also practically applicable in the problems of modeling of nanoscale heat transport problems of semiconductor devices and accordingly semiconductors can be classified as per their ability of heat conduction. Originality/value To the authors’ knowledge, no one has discussed fractional thermoelastic dual-phase-lag problem associated with relaxation time in a finite cylindrical domain for a thick circular plate subjected to an axis-symmetric heat source. This is the latest and novel contribution to the field of thermal mechanics.

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Effect of rotation on a micropolar magneto-thermoelastic solid in dual-phase-lag model under the gravitational field

Microsystem Technologies ◽

10.1007/s00542-017-3295-y ◽

2017 ◽

Vol 23 (10) ◽

pp. 4979-4987 ◽

Cited By ~ 13

Author(s):

Mohamed I. A. Othman ◽

Elsayed M. Abd-Elaziz

Keyword(s):

Gravitational Field ◽

Phase Lag ◽

Dual Phase ◽

Lag Model ◽

Thermoelastic Solid

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Eigen value approach for dual phase lag micropolar porous thermoelastic circular plate with ramp type heating

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-12-2016-0063 ◽

2017 ◽

Vol 13 (4) ◽

pp. 550-567

Author(s):

Rajneesh Kumar ◽

Priyanka Kaushal ◽

Rajni Sharma

Keyword(s):

Circular Plate ◽

Volume Fraction ◽

Phase Lag ◽

Dual Phase ◽

Two Dimensional ◽

Dimensional Problem ◽

Content Type ◽

Three Phase ◽

Eigen Value ◽

Lag Model

Purpose The purpose of this paper is to investigate a two dimensional problem of micropolar porous thermoelastic circular plate subjected to ramp type heating. Design/methodology/approach Three phase lag theory of thermoelasticity has been used to formulate the problem. A numerical inversion technique is applied to obtain the result in the physical domain. The numerical values of the resulting quantities are presented graphically to show the effect of porosity and dual phase lag model. Some particular cases are also presented. Findings The Laplace and Hankel transforms are employed followed by the eigen value approach to obtain the components of displacements, microrotation, volume fraction field, temperature distribution and stresses in the transformed domain. Originality/value This paper fulfils the need to study the two-dimensional problem of micropolar porous thermoelastic circular plate subjected to ramp type heating.

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Response of thermoelastic functionally graded beam due to ramp type heating in modified couple stress with dual-phase-lag model

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-05-2017-0034 ◽

2017 ◽

Vol 13 (3) ◽

pp. 471-488 ◽

Cited By ~ 3

Author(s):

Rajneesh Kumar ◽

Shaloo Devi

Keyword(s):

Couple Stress ◽

Axial Stress ◽

Displacement Component ◽

Functionally Graded ◽

Phase Lag ◽

Dual Phase ◽

Functionally Graded Beam ◽

Content Type ◽

Lag Model ◽

Modified Couple Stress

Purpose The purpose of this paper is to investigate the thermoelastic functionally graded beam in a modified couple stress theory subjected to a dual-phase-lag model. Design/methodology/approach The governing equations are solved by using the Euler-Bernoulli beam assumption and the Laplace transform technique. The lateral deflection, temperature change, displacement component, axial stress and thermal moment of the beam are obtained by ramp type heating in the transformed domain. A general algorithm of the inverse Laplace transform is developed to recover the results in a physical domain. Findings The lateral deflection, temperature change, displacement component, axial stress and thermal moment of the beam are computed numerically and presented graphically to show the effect of ramp time parameter and phase lags of heating. Originality/value Comparisons are made in the absence and presence of coupled dual-phase-lag thermoelastic and coupled thermoelastic L-S theories and also different values of ramp type parameter.

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Establishing a memory-dependent photothermoelastic model according to the dual phase lag model on a cylindrical body rotating in an initial magnetic field

10.22541/au.161193018.80757142/v1 ◽

2021 ◽

Author(s):

Kadry Zakaria ◽

Magdy Sirwah ◽

Ahmed Abouelregal ◽

Ali Farouk Rashid

Keyword(s):

Magnetic Field ◽

Wave Equations ◽

Cylindrical Body ◽

Numerical Results ◽

Phase Lag ◽

Dual Phase ◽

Elastic Wave Equations ◽

The Laplace Transform ◽

Lag Model ◽

The Impact

This paper deals with the study of photothermoelastic interactions in an isotropic homogeneous semiconductor solid, using a new model of generalized thermoelectricity with a memory-dependent derivative of heat conduction. The plasma and thermal effects study of semiconductor structures include the simulation of a complex system using simultaneous analysis of carrier density, thermal waves, and elastic wave equations. On this topic, there are few research works that have been achieved. To investigate the problem, Tzou’s generalized theory is employed. The governing equations of the system are derived based on the dual-phase lag model (DPL) and the wave equation of coupled plasma. We examined the transient response of a rotating solid cylinder subjected to the applied magnetic field and a time-dependent heat flow under the new proposed model. The analytical expressions for the investigated fields are derived by using the Laplace transform process and the numerical results are graphically previewed. A comparison of the numerical results is provided for various models of thermoelasticity as well as the impact of memory- dependent derivatives. The effects of rotation, time-delay and the kernel function are also investigated

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Generalized thermoelastic interaction in a two-dimensional porous medium under dual phase lag model

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/hff-12-2019-0917 ◽

2020 ◽

Vol 30 (11) ◽

pp. 4865-4881 ◽

Cited By ~ 2

Author(s):

Aatef Hobiny ◽

Ibrahim Abbas

Keyword(s):

Porous Medium ◽

Volume Fraction ◽

Phase Lag ◽

Dual Phase ◽

Two Dimensional ◽

Thermoelastic Wave ◽

Content Type ◽

Lag Model ◽

The Difference ◽

Laplace Transformations

Purpose The purpose of this study is to use the generalized model for thermoelastic wave under the dual phase lag (DPL) model to compute the increment of temperature, the components of displacement, the changes in volume fraction field and the stress components in a two-dimensional (2D) porous medium. Design/methodology/approach Using Fourier and Laplace transformations with the eigenvalue technique, the exact solutions of all physical quantities are obtained. Findings The derived method is evaluated with numerical results, which are applied to the porous medium in a simplified geometry. Originality/value Finally, the outcomes are graphically represented to show the difference among the models of classical dynamical coupled, the Lord and Shulman and DPL.

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

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-08-2016-0038 ◽

2017 ◽

Vol 13 (2) ◽

pp. 347-362

Author(s):

Rajneesh Kumar ◽

Aseem Miglani ◽

Rekha Rani

Keyword(s):

Temperature Distribution ◽

Circular Plate ◽

Couple Stress ◽

Volume Fraction ◽

Phase Lag ◽

Dual Phase ◽

Eigenvalue Approach ◽

Content Type ◽

Lag Model ◽

Coupled Theory

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.

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