Influence of gravity and micro-temperatures on the thermoelastic porous medium under three theories

Othman, Mohamed I. A.; Abd‐Elaziz, Elsayed M.

doi:10.1108/hff-12-2018-0763

Cited by 28 publications

(15 citation statements)

References 29 publications

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“…Nithiarasu et al (2016) presented the fundamentals of finite element method for heat and mass transfer along with a large number of worked examples and exercises. Othman and Abd-Elaziz (2019) explored the effects of gravity and micro-temperatures on the thermoelastic porous medium within the context of the coupled theory, LS theory and GL theory by using normal mode analysis. In the frame of the three-phase-lag model, Othman et al (2019) scrutinized the impacts of gravity, two-temperature parameter, fiber-reinforcement and time on the various thermo-physical quantities.…”

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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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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show abstract

“…A couple of examinations subject to these generalized theories were researched in Refs. Sherief and Saleh (1998), Mukhopadhyay and Kumar (2009), Lata and Singh (2019), Sherief and Hussein (2018), Alzahrani and Abbas (2018), Abbas et al (2019), Othman and Abbas (2019), Othman and Abd-Elaziz (2019), Othman et al (2019), Saeed and Abbas (2019) and Othman et al (2020).…”

Section: Introductionmentioning

confidence: 99%

Thermo-mechanical memory responses of biological viscoelastic tissue with variable thermal material properties

Ezzat

2020

HFF

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Purpose In the present paper, the new concept of “memory dependent derivative” in the Pennes’ bioheat transfer and heat-induced mechanical response in human living tissue with variable thermal conductivity and rheological properties of the volume is considered. Design/methodology/approach A problem of cancerous layered with arbitrary thickness is considered and solved analytically by Kirchhoff and Laplace transformation. The analytical expressions for temperature, displacement and stress are obtained in the Laplace transform domain. The inversion technique for Laplace transforms is carried out using a numerical technique based on Fourier series expansions. Findings Comparisons are made with the results anticipated through the coupled and generalized theories. The influence of variable thermal, volume materials properties and time-delay parameters for all the regarded fields for different forms of kernel functions is examined. Originality/value The results indicate that the thermal conductivity and volume relaxation parameters and MDD parameter play a major role in all considered distributions. This dissertation is an attempt to provide a theoretical thermo-viscoelastic structure to help researchers understand the complex thermo-mechanical processes present in thermal therapies.

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“…Nithiarasu et al (2016) presented the fundamentals of finite element method for heat and mass transfer along with a large number of worked examples and exercises. By using normal mode analysis, Othman and Abd-Elaziz (2019) explored the effects of gravity and micro-temperatures on the thermoelastic porous medium within the context of the coupled theory, Lord-Shulman theory and Green–Lindsay theory. In the frame of the three-phase-lag model, Othman et al (2019) scrutinized the impacts of gravity, two-temperature parameter, fiber-reinforcement and time on the various thermo-physical quantities.…”

Section: Introductionmentioning

confidence: 99%

Thermo-mechanical disturbances in a nonlocal rotating elastic material with temperature dependent properties

Sheoran

Kumar

Thakran

et al. 2021

HFF

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Purpose The purpose of this paper is to study two-dimensional deformations in a nonlocal, homogeneous, isotropic, rotating thermoelastic medium with temperature-dependent properties under the purview of the Green-Naghdi model II of generalized thermoelasticity. The formulation is subjected to a mechanical load. Design/methodology/approach The normal mode analysis technique is adopted to procure the exact solution of the problem. Findings For isothermal and insulated boundaries, discussions have been made to highlight the influences of rotational speed, nonlocality, temperature-dependent properties and time on the physical quantities. Originality/value The exact expressions for the displacement components, stresses and temperature field are obtained in the physical domain. These are also calculated numerically for a magnesium crystal-like material and depicted through graphs to observe the variations of the considered physical quantities. The present study is useful and valuable for the analysis of problems involving mechanical shock, rotational speed, nonlocal parameter, temperature-dependent properties and elastic deformation.

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Influence of gravity and micro-temperatures on the thermoelastic porous medium under three theories

Cited by 28 publications

References 29 publications

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

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

Thermo-mechanical memory responses of biological viscoelastic tissue with variable thermal material properties

Thermo-mechanical disturbances in a nonlocal rotating elastic material with temperature dependent properties

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