Magneto-thermoelasticity for an infinite body with a spherical cavity and variable material properties without energy dissipation

Allam, M. N. M.; Elsibai, Khaled A.; Abouelregal, Ahmed E.

doi:10.1016/j.ijsolstr.2010.04.021

Cited by 58 publications

(17 citation statements)

References 10 publications

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“…Recently, Allam et al (2010) studied the electromagneto-thermoelastic interactions in an infinite perfectly conducting body with a spherical cavity and variable material properties. However, in the work above mentioned the absolute temperature (T) was instead of the reference temperature (T 0 ) in the form of temperature-dependent material properties to remove the nonlinearity of the problem for achieving the solution to the problem and the results may be not pratical.…”

Section: Latin American Journal Of Solids and Structures 12 (2015) 25mentioning

confidence: 99%

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Generalized Magneto-thermo-microstretch Response of a Half-space with Temperature-dependent Properties During Thermal Shock

Xiong

Tian

2015

Lat. Am. j. solids struct.

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Section: Latin American Journal Of Solids and Structures 12 (2015) 25mentioning

confidence: 99%

“…We will consider other two forms of temperature-dependent properties, i.e. the form of reference temperature-dependent properties (Youssef , 2005a(Youssef , , 2005bAllam et al 2010) ( ( )…”

Section: Latin American Journal Of Solids and Structures 12 (2015) 25mentioning

confidence: 99%

Generalized Magneto-thermo-microstretch Response of a Half-space with Temperature-dependent Properties During Thermal Shock

Xiong

Tian

2015

Lat. Am. j. solids struct.

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“…To explore the effects of temperature-dependent properties on predicting the dynamic behavior of problems under generalized thermoelastic theories, Ezzat et al [40] investigated a problem in which modulus of elasticity was dependent on temperature. Allam et al [41] studied the electromagnetothermoelastic interactions in an infinite perfectly conducting body with a spherical cavity with G-N theory.…”

Section: Introductionmentioning

confidence: 99%

“…We consider a thermoelastic body of material with temperature-dependent properties in the following form [41]:…”

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confidence: 99%

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Effect of Variable Properties and Moving Heat Source on Magnetothermoelastic Problem under Fractional Order Thermoelasticity

Xiong

Guo

2016

Advances in Materials Science and Engineering

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A one-dimensional generalized magnetothermoelastic problem of a thermoelastic rod with finite length is investigated in the context of the fractional order thermoelasticity. The rod with variable properties, which are temperature-dependent, is fixed at both ends and placed in an initial magnetic field, and the rod is subjected to a moving heat source along the axial direction. The governing equations of the problem in the fractional order thermoelasticity are formulated and solved by means of Laplace transform in tandem with its numerical inversion. The distributions of the nondimensional temperature, displacement, and stress in the rod are obtained and illustrated graphically. The effects of the temperature-dependent properties, the velocity of the moving heat source, the fractional order parameter, and so forth on the considered variables are concerned and discussed in detail, and the results show that they significantly influence the variations of the considered variables.

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Fractional heat conduction model with phase lags for a half‐space with thermal conductivity and temperature dependent

Abo‐Dahab

Abouelregal

Ahmad

2020

Math Methods in App Sciences

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In the current investigation, the thermoelasticity with a model of fractional order is used to discuss a problem of thermoelastic half‐space. Such theory depends on the time‐fractional derivative of Caputo of order α. The thermal conductivity is considered to be a variable, and the medium surface is subjected to a free from traction and a thermal shock. Then, the transform of Laplace has been utilized for the solutions of the governing equations. The inverse of the Laplace transform entertained numerically, employing a technique based on methods of Fourier expansion. The obtained numerical solutions for different variables and the obtained results are offered graphically. The effect of the variation of thermal conductivity as well as a fractional‐order parameter on displacement, temperature, and stress are studied. A comparison is made between the results obtained in the current investigation and the previous results by others when the new parameters neglect. The results obtained indicated to the significant role of the heat conduction fractional model, thermal conductivity, temperature dependent, and thermal relaxation time on the thermoelastic half‐space.

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Magneto-thermoelasticity for an infinite body with a spherical cavity and variable material properties without energy dissipation

Cited by 58 publications

References 10 publications

Generalized Magneto-thermo-microstretch Response of a Half-space with Temperature-dependent Properties During Thermal Shock

Generalized Magneto-thermo-microstretch Response of a Half-space with Temperature-dependent Properties During Thermal Shock

Effect of Variable Properties and Moving Heat Source on Magnetothermoelastic Problem under Fractional Order Thermoelasticity

Fractional heat conduction model with phase lags for a half‐space with thermal conductivity and temperature dependent

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