The effect of variable thermal conductivity on an infinite fiber-reinforced thick plate under initial stress

Othman, Mohamed I. A.; Abouelregal, Ahmed E.; Said, Samia M.

doi:10.2140/jomms.2019.14.277

Cited by 18 publications

(8 citation statements)

References 22 publications

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“…Our objective is to examine the influence of the thermal conductivity dependence on temperature and to ensure that elastic and other thermal parameters keep them stable. The thermal conductivity K and thermal rate Knormal* vary depending on the temperature as 56 where K0 and K0* are respectively, the thermal conductivity and thermal rate at ambient temperature T0 and K1, K1 are the slope of the thermal conductivity/rate-temperature curves divided by the intercepts K0 and K0*.…”

Section: Variable Thermal Conductivitymentioning

confidence: 99%

The effect of variable properties and rotation in a visco-thermoelastic orthotropic annular cylinder under the Moore–Gibson–Thompson heat conduction model

Aboueregal

Sedighi

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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The present contribution aims to address a problem of thermoviscoelasticity for the analysis of the transition temperature and thermal stresses in an infinitely circular annular cylinder. The inner surface is traction-free and subjected to thermal shock heating, while the outer surface is thermally insulated and free of traction. In this work, in contrast to the various problems in which the thermal conductivity coefficient is considered to be fixed, this parameter is assumed to be variable depending on the temperature change. The problem is studied by presenting a new generalized thermoelastic model of thermal conductivity described by the Moore–Gibson–Thompson equation. The new model can be constructed by incorporating the relaxation time thermal model with the Green–Naghdi type III model. The Laplace transformation technique is used to obtain the exact expressions for the radial displacement, temperature and the distributions of thermal stresses. The effects of angular velocity, viscous parameter, and variance in thermal properties are also displayed to explain the comparisons of the physical fields.

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Section: Variable Thermal Conductivitymentioning

confidence: 99%

The effect of variable properties and rotation in a visco-thermoelastic orthotropic annular cylinder under the Moore–Gibson–Thompson heat conduction model

Aboueregal

Sedighi

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…The temperature-dependent properties of materials significantly influence thermal stress behaviour at high temperatures and high-temperature gradients. In the current investigation, the thermal conductivity K and thermal rate K * as well as the specific heat coefficient C E , are all assumed to be directly proportional to temperature [ 60 , 61 ] …”

Section: Temperature-dependent Thermal Propertiesmentioning

confidence: 99%

Fractional Moore-Gibson-Thompson heat transfer model with nonlocal and nonsingular kernels of a rotating viscoelastic annular cylinder with changeable thermal properties

Abouelregal

Alesemi

2022

PLoS ONE

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Long hollow cylinders are commonly utilized in various technological applications, including liquid and gas transmission. As a result, its value is growing, becoming increasingly important to many research efforts. Compared with thermal isotropic homogeneous cylinders, thermo-viscoelastic orthotropic cylinders have less relevant data. In this paper, a thermoelastic fractional heat conduction model was developed based on the Moore-Gibson-Thompson equation to examine the axial symmetry problem of a viscoelastic orthotropic hollow cylinder. Atangana and Baleanu derivative operators with nonsingular and nonlocal kernels were used in constructing the fractional model. The thermal properties of the cylinder materials are assumed to be temperature-dependent. The Laplace transform is applied to solve the system of governing equations. The numerical calculations for temperature, displacement, and stress components are performed by the effect of fractional order, rotation, and changing thermal properties of the cylinder. The results showed that due to the presence of fractional derivatives, some properties of the physical fields of the medium change according to the value of the fractional order.

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“…In the current study, thermal conductivity K and thermal rate

{K^{\rm{*}}}

as well as the specific heat coefficient

{C_E}

, are considered to be linearly proportional to temperature as [48, 49]

\begin{equation}\left\{ {K,{K^{\rm{*}}},{C_E}} \right\} = \left\{ {{K_0},K_0^*,{C_{E0}}} \right\}\ \left( {1 + {K_1}\theta } \right)\end{equation}

…”

Section: Temperature‐dependent Thermal Propertiesmentioning

confidence: 99%

Generalized Moore‐Gibson‐Thompson thermoelastic fractional derivative model without singular kernels for an infinite orthotropic thermoelastic body with temperature‐dependent properties

Abouelregal

Fahmy

2022

Z Angew Math Mech

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Many challenges in different applied fields of research, such as materials science, viscoelasticity, biological sciences, physics, and mechanical engineering, require the study of derivative operators using single singular or nonsingular kernels. Atangana and Baleanu (AB) constructed a novel fractional derivative without a singular kernel based on the extended Mittag–Leffler function to overcome the singular kernel problem seen in previous definitions of fractional‐order derivatives. In this article, we provide a novel mathematical thermoelastic heat conduction model that includes the fractional AB derivative operators. In addition, the Moore–Gibson–Thompson (MGT) equation has been incorporated into the proposed heat transport model. The proposed model has been applied to study an infinite orthotropic material with a cylindrical aperture, and the thermal conductivity coefficient of the body depends on the temperature change. The Laplace transform approach has been used to solve the system of governing partial differential equations (PDEs). To assess the validity of the proposed model and for the purposes of comparison, the numerical results have been depicted in figures as well as in tables.

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The effect of variable thermal conductivity on an infinite fiber-reinforced thick plate under initial stress

Cited by 18 publications

References 22 publications

The effect of variable properties and rotation in a visco-thermoelastic orthotropic annular cylinder under the Moore–Gibson–Thompson heat conduction model

The effect of variable properties and rotation in a visco-thermoelastic orthotropic annular cylinder under the Moore–Gibson–Thompson heat conduction model

Fractional Moore-Gibson-Thompson heat transfer model with nonlocal and nonsingular kernels of a rotating viscoelastic annular cylinder with changeable thermal properties

Generalized Moore‐Gibson‐Thompson thermoelastic fractional derivative model without singular kernels for an infinite orthotropic thermoelastic body with temperature‐dependent properties

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