Two-dimensional axisymmetric thermoelastic problem for an infinite-space with a cylindrical heat source of a different material under Green–Lindsay theory

Sherief, Hany H.; El‐Maghraby, Nasser M.; Abbas, Mohamed Farid

doi:10.1080/15397734.2020.1807361

Cited by 7 publications

(3 citation statements)

References 27 publications

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“…The stability of this theory has been studied by Sherief in 1987 who proved also the uniqueness of the theory [8]. Some works in the context of these two theories and their extensions can be found in [9][10][11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 97%

Dynamic response of a long cylinder under thermal shock in micropolar thermoelasticity

Sherief,

Abbas,

Zaky

et al. 2023

PLoS ONE

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In this manuscript, the dynamic response of a long cylinder subjected to an asymmetric thermal shock is investigated within the framework of generalized micropolar thermoelasticity. The displacement and micro-rotation are assumed to vanish at the surface. Laplace transformation techniques are used to solve the problem. The solution is obtained in the transformed field using an innovative direct approach. Furthermore, we obtain the inverse transformations using a numerical method based on Fourier expansion. The obtained results are carefully presented through graphical representations and discussed extensively across different relaxation time values. It is evident that the relaxation time parameter significantly influences all the distributions. The displacement distributions are always continuous, whereas all other functions, including temperature variation, stress distribution, and micro-rotation, exhibit discontinuity at the wave front. The results obtained hold significant importance in various technological applications and in the manufacturing of mechanical components.

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Section: Introductionmentioning

confidence: 97%

Dynamic response of a long cylinder under thermal shock in micropolar thermoelasticity

Sherief,

Abbas,

Zaky

et al. 2023

PLoS ONE

Self Cite

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“…Using an expanded thermodynamics system, Sarkar and Singh [24] provided the constitutive modeling of a new generalized thermoelasticity framework by incorporating a strain-rate term coupled with a relaxation time coefficient into the Lord-Shulman (LS) thermoelasticity theory. Sherief et al [25] considered a two-dimensional axisymmetric problem involving an infinite body. Within the body, there is an infinite cylinder made of different materials and harboring a variable heat source.…”

Section: Introductionmentioning

confidence: 99%

Study of Thermoelectric Responses of a Conductive Semi-Solid Surface to Variable Thermal Shock in the Context of the Moore–Gibson–Thompson Thermoelasticity

Megahid

Abouelregal

Askar

et al. 2023

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In this study, the Moore–Gibson–Thompson (MGT) concept of thermal conductivity is applied to a two-dimensional elastic solid in the form of a half-space. This model was constructed using Green and Naghdi’s thermoelastic model to address the infinite velocity problem of heat waves. It has been taken into account that the free surface of the medium is immersed in an electromagnetic field of constant intensity, undergoes thermal shock, and rotates with a uniform angular velocity. The governing equations of a modified version of Ohm’s law account for the impact of temperature gradients and charge densities. By using the method of normal mode analysis, an analytical representation of the studied physical fields was obtained. The effect of rotation and the modulus of modified Ohm’s law on the responses of the field distributions examined is discussed, along with accompanying graphical representations. Other thermoelastic models have been compared with the results of the proposed system when the relaxation time is ignored.

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“…Fan et al [10] discussed in depth the effects of heating and cooling on wellbore pressure and stresses. Sherief et al [11] studied a 2D axisymmetric thermoelastic problem for an infinite medium containing cylindrical heat sources of different materials with two time delays. Abbas [12] demonstrated the natural-frequencies of poroelastic hollow cylinder material.…”

Section: Introductionmentioning

confidence: 99%

The Effects of Fractional Time Derivatives in Porothermoelastic Materials Using Finite Element Method

2021

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In this work, a new model for porothermoelastic waves under a fractional time derivative and two time delays is utilized to study temperature increments, stress and the displacement components of the solid and fluid phases in porothermoelastic media. The governing equations are presented under Lord–Shulman theory with thermal relaxation time. The finite element method has been adopted to solve these equations due to the complex formulations of this problem. The effects of fractional parameter and porosity in porothermoelastic media have been studied. The numerical outcomes for the temperatures, the stresses and the displacement of the fluid and the solid are presented graphically. These results will allow future studies to gain a detailed insight into non-simple porothermoelasticity with various phases.

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Two-dimensional axisymmetric thermoelastic problem for an infinite-space with a cylindrical heat source of a different material under Green–Lindsay theory

Cited by 7 publications

References 27 publications

Dynamic response of a long cylinder under thermal shock in micropolar thermoelasticity

Dynamic response of a long cylinder under thermal shock in micropolar thermoelasticity

Study of Thermoelectric Responses of a Conductive Semi-Solid Surface to Variable Thermal Shock in the Context of the Moore–Gibson–Thompson Thermoelasticity

The Effects of Fractional Time Derivatives in Porothermoelastic Materials Using Finite Element Method

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