The photothermal interaction of a semiconducting solid sphere based on three Green-Naghdi theories due to the fractional-order strain and ramp-type heating

Youssef, Hamdy M.; Al-Lehaibi, Eman A. N.

doi:10.1007/s11043-022-09543-2

Cited by 10 publications

(5 citation statements)

References 42 publications

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“…Sarkar et al [10] explored non-local thermoelastic medium in the context of GN theory with and without energy dissipation. Youssef and Al-Lehaibi [11] presented a novel model for a semiconducting solid sphere to demonstrate photothermal interaction by applying fractional-order strain and ramp-type heating in the context of three types of GN theory. Bayounes et al [12] explored void effect in a micropolar thermoelastic medium and the effect of two temperatures by considering the GN theory of thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

Variable thermal conductivity in context of Green‐Naghdi theory of thermo‐microstretch solids

Ailawalia,

Priyanka,

Marin

et al. 2024

Z Angew Math Mech

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The present work aims to study the influence of variable thermal conductivity in generalized thermoelastic solid with microstretch within the framework of the Green‐Naghdi theory. The analytical methodology is adopted for obtaining exact expressions of displacement components, stresses, couple stresses, micro stress distribution and temperature distribution. The effect of variable thermal conductivity is illustrated graphically in two and three dimensions for the above physical quantities by taking different values of thermal conductivity.

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Section: Introductionmentioning

confidence: 99%

Variable thermal conductivity in context of Green‐Naghdi theory of thermo‐microstretch solids

Ailawalia,

Priyanka,

Marin

et al. 2024

Z Angew Math Mech

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“…Mabrouk et al [18] studied the reflection phenomenon of photothermal waves for a semiconducting medium with diffusion under the effect of initial magnetic field and variable thermal conductivity in view of dual-phase-lag model. Youssef and Al-Lehaibi [19] adopted Laplace transform technique to discuss the photothermal interactions in a semiconducting solid sphere based on Green-Naghdi (G-N) theories (I, II, and III) in presence of fractional-order strain and ramp-type heating. Abouelregal et al [20] investigated the impact of thermal and mechanical forces in a two-dimensional semiconducting photothermoelastic medium under the purview of G-N theory.…”

Section: Introductionmentioning

confidence: 99%

Reflection of plane waves in a nonlocal double poroelastic semiconducting medium with variable thermal conductivity and mass diffusivity

Sheokand,

Deswal,

Choudhary

et al. 2024

Z Angew Math Mech

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The present investigation is concerned with the reflection phenomena of plane waves in a homogeneous, isotropic, nonlocal, photothermoelastic semiconducting medium under the effects of double porosity, variable thermal conductivity and mass diffusivity. The formulation is applied to generalized thermoelasticity based on the Lord–Shulman theory. The problem is solved analytically and it is shown that there exist six coupled longitudinal waves in addition to an independent transverse wave in the considered medium. The amplitude ratios and energy ratios of these reflected waves have been calculated analytically and computed numerically for a specific material with the help of MATLAB programming. The numerical results of reflection coefficients are presented graphically to show the effects of double porosity, photothermal transport process, nonlocality, variable thermal conductivity and mass diffusivity. It is verified that during reflection phenomena, the sum of energy ratios is equal to unity at each angle of incidence and there is no energy dissipation at the boundary surface. Some special cases of interest have also been inferred from the current investigation.

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“…Sherief et al [ 39 ] modified the L-S generalized theory of thermoelasticity and combined it with fractional calculus to develop a novel generalized thermoelasticity model. Youssef and Al-Lehaibi [ 40 ] developed a mathematical model which can be used to describe the thermal projectile of semiconductor solid spheres. They then solved a thermoporoelastic problem in the context of G-N theory with fractional-order parameters.…”

Section: Introductionmentioning

confidence: 99%

Coupling dynamic response of saturated soil with anisotropic thermal conductivity under fractional order thermoelastic theory

Guo,

Xiong,

et al. 2024

PLoS ONE

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In this paper, a two-dimensional (2D) thermo-hydro-mechanical dynamic (THMD) coupling analysis in the presence of a half-space medium is studied using Ezzat’s fractional order generalized theory of thermoelasticity. Using normal mode analysis (NMA), the influence of the anisotropy of the thermal conduction coefficient, fractional derivatives, and frequency on the THMD response of anisotropy, fully saturated, and poroelastic subgrade is then analyzed with a time-harmonic load including mechanical load and thermal source subjected to the surface. The general relationships among the dimensionless physical variables such as the vertical displacement, excess pore water pressure, vertical stress, and temperature distribution are graphically illustrated. The NMA method does not require the integration and inverse transformation, increases the decoupling speed, and eliminates the limitation of numerical inverse transformation. The obtained results can guide the geotechnical engineering construction according to different values of load frequency, fractional order coefficient, and anisotropy of thermal conduction coefficient. This improves the subgrade stability and enriches the theoretical studies on thermo-hydro-mechanical coupling.

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The photothermal interaction of a semiconducting solid sphere based on three Green-Naghdi theories due to the fractional-order strain and ramp-type heating

Cited by 10 publications

References 42 publications

Variable thermal conductivity in context of Green‐Naghdi theory of thermo‐microstretch solids

Variable thermal conductivity in context of Green‐Naghdi theory of thermo‐microstretch solids

Reflection of plane waves in a nonlocal double poroelastic semiconducting medium with variable thermal conductivity and mass diffusivity

Coupling dynamic response of saturated soil with anisotropic thermal conductivity under fractional order thermoelastic theory

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