Thermo-mechanical interactions in a magneto-thermoelastic solid with microtemperatures and diffusion

Kalkal, Kapil Kumar; Goyal, Reetika; Deswal, Sunita

doi:10.1007/s00542-018-4247-x

Cited by 9 publications

(4 citation statements)

References 32 publications

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“…The propagation of Rayleigh waves in a strongly elliptic thermoelastic material with microtemperatures was studied by Passarella and Tibullo [16]. Kalkal et al [17] investigated the disturbances in a two-dimensional magneto-thermoelastic diffusive material with microtemperatures. A strain gradient theory of thermoelastic bodies with microtemperatures which permits the transmission of heat as thermal wave at finite speed, was proposed by Iesan [18].…”

Section: Introductionmentioning

confidence: 99%

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Magneto‐thermoelastic interactions in a photothermal semiconducting medium with diffusion and microtemperatures

Jangra,

Choudhary,

Deswal

2024

Z Angew Math Mech

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The current manuscript is an attempt to investigate the disturbances in a two‐dimensional homogeneous, isotropic, magneto‐thermoelastic material with mass diffusion, microtemperatures and photothermal effect. The expressions for different physical variables such as displacement, stresses, carrier density, temperature field and microtemperatures are obtained in the physical domain. The formulation is subjected to a thermal load. Normal mode analysis is adopted to procure the exact solution of the problem. Numerical computations have been carried out with the help of MATLAB programming and the results are illustrated graphically. The graphical results indicate that the effects of photothermal parameters, magnetic parameter, diffusion parameters and time are very much pronounced on the field variables. Results of some earlier authors have been reduced as particular cases of the present formulation.

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Section: Introductionmentioning

confidence: 99%

“…Kalkal et al. [17] investigated the disturbances in a two‐dimensional magneto‐thermoelastic diffusive material with microtemperatures. A strain gradient theory of thermoelastic bodies with microtemperatures which permits the transmission of heat as thermal wave at finite speed, was proposed by Iesan [18].…”

Section: Introductionmentioning

confidence: 99%

Magneto‐thermoelastic interactions in a photothermal semiconducting medium with diffusion and microtemperatures

Jangra,

Choudhary,

Deswal

2024

Z Angew Math Mech

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“…Eringen [15] and Eringen and Suhubi [16] discussed the micromorphic elastic solids and their behavior in the classical theory of thermoelasticity. Kalkal et al [17] discussed the thermoelastic half space problem of microtemperature with diffusion under presence of magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Initial Stress and Modified Ohm’s Law in Magneto-thermoelastic Problem Under Three Theories with Microtemperatures and Voids

BAWANKAR¹

2022

International Journal of Thermodynamics

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This paper studies the generalized magneto-thermoelastic problem with microtemperatures, voids taking into account initial stress and modified Ohm's law under three theories. The analytical solution is obtained by normal modes and expressions for micro temperature, temperature distribution, displacement, components of heat flux, change in the volume fraction field as well as stress components are calculated. The effect of initial stress and thermal shock is observed on desired field variables. The results are established graphically for all physical quantities and variation is done for three theories due to the effect of modified Ohm's law coefficient.

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“…Ailawalia et al (2018) studied a two-dimensional problem in a thermoelastic solid with microtemperatures having an internal heat source. A two-dimensional mathematical model was presented by Kalkal et al (2019) to study the effects of magnetic field and diffusion on a thermoelastic medium with microtemperatures.…”

Section: Introductionmentioning

confidence: 99%

A two-dimensional half-space problem in an initially stressed rotating medium with microtemperatures

Deswal

Sheoran

Kalkal

2020

MMMS

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PurposeThe purpose of this paper is to establish a model of two-dimensional half-space problem of linear, isotropic, homogeneous, initially stressed, rotating thermoelastic medium with microtemperatures. The expressions for different physical variables such as displacement distribution, stress distribution, temperature field and microtemperatures are obtained in the physical domain.Design/methodology/approachNormal mode analysis technique is adopted to procure the exact solution of the problem.FindingsNumerical computations have been carried out with the help of MATLAB programming, and the results are illustrated graphically. Comparisons are made to show the effects of rotation, time and microtemperatures on the resulting quantities. The graphical results indicate that the effects of rotation, microtemperatures and time are very pronounced on the field variables.Originality/valueIn the present work, we have investigated the effects of rotation, time and microtemperature in an initially stressed thermoelastic medium. Although various investigations do exist to observe the disturbances in a thermoelastic medium under the effects of different parameters, the work in its present form, i.e. the disturbances in a thermoelastic medium in the presence of angular velocity, initial stress and microtemperature have not been studied till now. The present work is useful and valuable for analysis of problems involving coupled thermal shock, rotation parameter, microtemperatures and elastic deformation.

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Thermo-mechanical interactions in a magneto-thermoelastic solid with microtemperatures and diffusion

Cited by 9 publications

References 32 publications

Magneto‐thermoelastic interactions in a photothermal semiconducting medium with diffusion and microtemperatures

Magneto‐thermoelastic interactions in a photothermal semiconducting medium with diffusion and microtemperatures

Initial Stress and Modified Ohm’s Law in Magneto-thermoelastic Problem Under Three Theories with Microtemperatures and Voids

A two-dimensional half-space problem in an initially stressed rotating medium with microtemperatures

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