Analysis of wave motion and deformation in elastic plate based on two temperature theory of thermoelasticity

Bajpai, Ankit; Kumar, Rajneesh; Sharma, Pawan Kumar

doi:10.1080/17455030.2021.1887545

Cited by 10 publications

(2 citation statements)

References 39 publications

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“…This theory is based on the temperature rate dependence of conductive and thermodynamic temperature. [14] investigated the effect of two temperatures on wave thermomechanical loading to derive the thermodynamic and conductive temperature expressions. Abouelregal et al [15] Introduce A new thermoelasticity model based on fractional calculus in combination with Fourier's law of heat, and dual temperature theory is presented, including the Moore-Gibson-Thomson equation.…”

Section: Introductionmentioning

confidence: 99%

Photomechanical and Thermal Wave Responses of a Two-Temperature Semiconductor Model with Moisture Diffusivity Process

Elidy¹,

Lotfy

Tantawi

2023

Bulletin of Faculty of Science, Zagazig University

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In the context of the two-temperature thermoelasticity theory, a novel mathematical-physical model is introduced that describes the influence of moisture diffusivity in the semiconductor material. The Two-dimensional (2D) Cartesian coordinate is used to study the coupled between the thermo-elastic, plasma waves, and Moisture Diffusivity. Dimensionless quantities are the main physical fields in the Laplace transform domain. For the unknown variables, some conditions are applied at the free surface of the medium according to two temperature theory, to get the main quantities analytically. The Laplace transform technique has been applied with some numerical approximations in the time domain to obtain the exact expressions of the main physical fields. Due to the effects of the two temperature parameter, numerical results of silicon material have been introduced. The impacts of thermoelectric, thermoelastic, and reference moisture parameters have been discussed graphically.

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Section: Introductionmentioning

confidence: 99%

Photomechanical and Thermal Wave Responses of a Two-Temperature Semiconductor Model with Moisture Diffusivity Process

Elidy¹,

Lotfy

Tantawi

2023

Bulletin of Faculty of Science, Zagazig University

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“…The conductive and thermodynamic temperature dependency on temperature rate is a foundational element of this theory. To get the expression for thermodynamic and conductive temperature, the impact of two temperatures on wave thermo-mechanical loading is investigated [14]. Abouelregal and others [15] introduced the Moore-Gibson-Thomson equation and a new thermoelasticity model based on fractional calculus, Fourier's law of heat, and dual temperature theory was presented.…”

Section: Introductionmentioning

confidence: 99%

Two-Temperature Semiconductor Model Photomechanical and Thermal Wave Responses with Moisture Diffusivity Process

et al. 2022

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In the context of the two-temperature thermoelasticity theory, a novel mathematical–physical model is introduced that describes the influence of moisture diffusivity in the semiconductor material. The two-dimensional (2D) Cartesian coordinate is used to study the coupling between the thermo-elastic plasma waves and moisture diffusivity. Dimensionless quantities are taken for the main physical fields with some initial conditions in the Laplace transform domain. The linear solutions are obtained analytically along with unknown variables when some conditions are loaded at the surface of the homogenous medium according to the two-temperature theory. The Laplace transform technique in inversion form is utilized with some numerical algebraic approximations in the time domain to observe the exact expressions. Due to the effects of the two-temperature parameter and moisture diffusivity, the numerical results of silicon material have been introduced. The impacts of thermoelectric, thermoelastic, and reference moisture parameters are discussed graphically with some physical explanations.

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Transient response of a thermo-diffusive elastic thick circular plate with variable conductivity and diffusivity

2021

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Analysis of wave motion and deformation in elastic plate based on two temperature theory of thermoelasticity

Cited by 10 publications

References 39 publications

Photomechanical and Thermal Wave Responses of a Two-Temperature Semiconductor Model with Moisture Diffusivity Process

Photomechanical and Thermal Wave Responses of a Two-Temperature Semiconductor Model with Moisture Diffusivity Process

Two-Temperature Semiconductor Model Photomechanical and Thermal Wave Responses with Moisture Diffusivity Process

Transient response of a thermo-diffusive elastic thick circular plate with variable conductivity and diffusivity

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