Thermo-mechanical interactions in a functionally graded elastic material with voids and gravity field

Gunghas, Ankush; Kumar, Sunil; Sheoran, Devender; Kalkal, Kapil Kumar

doi:10.1007/s10999-020-09501-1

Cited by 16 publications

(11 citation statements)

References 30 publications

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“…The corresponding expressions for displacement components, temperature, carrier density and stresses can be achieved from equations ( 59) and ( 60) respectively. If we further neglect the photo-thermal effect from the medium, then our results match with those of Gunghas et al (2020) (without voids) with appropriate changes in boundary conditions. Results of the present case can also be validated from Lotfy (2016) (without internal heat source) for the LS model.…”

Section: Boundary Conditionssupporting

confidence: 56%

“…Deswal et al (2018) discussed the effects of gravity, two temperature and micropolarity on the wave propagation in a generalised TE medium. Gunghas et al (2020) investigated thermo-mechanical interactions in a functionally graded elastic material with voids and gravity. Bayones et al (2021), Kilany et al (2022a, b) and Elhag et al (2022) had made significant contributions in the field of generalised thermoelasticity including gravity field.…”

Section: Introductionmentioning

confidence: 99%

“…(2018) discussed the effects of gravity, two temperature and micropolarity on the wave propagation in a generalised TE medium. Gunghas et al. (2020) investigated thermo–mechanical interactions in a functionally graded elastic material with voids and gravity.…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

Sheoran

Yadav

Punia

et al. 2023

MMMS

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PurposeThe purpose of this paper is to analyse the transient effects in a functionally graded photo-thermoelastic (TE) medium with gravity and rotation by considering two generalised TE theories: Lord–Shulman (LS) and Green–Lindsay (GL). The governing equations are derived in rectangular Cartesian coordinates for a two dimensional problem.Design/methodology/approachAll the physical properties of the semiconductor are supposed to vary exponentially with distance. The analytical solution is procured by employing normal mode technique on the resulting non-dimensional coupled field equations with appropriate boundary conditions.FindingsFor the mechanically loaded thermally insulated surface, normal displacement, stress components, temperature distribution and carrier density are calculated numerically with the help of MATLAB software for a silicon semiconductor and displayed graphically. Some particular cases of interest have also been deduced from the present results.Originality/valueThe effects of rotation and non-homogeneity on the different physical fields are investigated on the basis of analytical and numerical results. Comparisons are made with the results predicted by GL theory in the presence and absence of gravity for different values of time. Comparisons are also made between the three theories in the presence of rotation, gravity and in-homogeneity. Such problems are very important in many dynamical systems.

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Section: Boundary Conditionssupporting

confidence: 56%

Section: Introductionmentioning

confidence: 99%

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Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

Sheoran

Yadav

Punia

et al. 2023

MMMS

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“…Under LS model, Wang et al (2018) studied thermoelastic interactions in a functionally graded thick hollow cylinder. Recently, Gunghas et al (2020) surveyed a 2D problem of thermo-mechanical interactions in a functionally graded elastic material with voids and gravity based on LS theory.…”

Section: Introductionmentioning

confidence: 99%

Transient disturbances in a nonlocal functionally graded thermoelastic solid under Green–Lindsay model

Kumar

Thakran

Gunghas

et al. 2020

HFF

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Purpose The purpose of this study is to analyze the two-dimensional disturbances in a nonlocal, functionally graded, isotropic thermoelastic medium under the purview of the Green–Lindsay model of generalized thermoelasticity. The formulation is subjected to a mechanical load. All the thermomechanical properties of the solid are assumed to vary exponentially with the position. Design/methodology/approach Normal mode technique is proposed to obtain the exact expressions for the displacement components, stresses and temperature field. Findings Numerical computations have been carried out with the help of MATLAB software and the results are illustrated graphically. These are also calculated numerically for a magnesium crystal-like material and illustrated through graphs. Theoretical and numerical results demonstrate that the nonlocality and nonhomogeneity parameters have significant effects on the considered physical fields. Originality/value Influences of nonlocality and nonhomogeneity on the physical quantities are carefully analyzed for isothermal and insulated boundaries. The present work is useful and valuable for analysis of problems involving mechanical shock, nonlocal parameter, functionally graded materials and elastic deformation.

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“…In a porous medium, Hobiny and Abbas (2020) evaluated the effects of phase delays on thermo-mechanical interactions. Gunghas et al (2020) investigated a two-dimensional problem of thermodynamical deformations in a functionally graded porous elastic half-space with gravity. On a magneto-thermoelastic material with void pores, Alharbi et al (2021) evaluated the effects of gravity and memory-dependent derivatives.…”

Section: Introductionmentioning

confidence: 99%

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

Kundu

Kalkal²,

Sangwan³

et al. 2022

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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.

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Thermo-mechanical interactions in a functionally graded elastic material with voids and gravity field

Cited by 16 publications

References 30 publications

Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

Transient disturbances in a nonlocal functionally graded thermoelastic solid under Green–Lindsay model

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

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