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A novel stochastic photo-thermoelasticity model according to a diffusion interaction processes of excited semiconductor medium
Faculty
Science
Year:
2022
Type of Publication:
ZU Hosted
Pages:
Authors:
Khaled Lotfy Mohamed Azab
Staff Zu Site
Abstract In Staff Site
Journal:
Eur. Phys. J. Plus Springer
Volume:
Keywords :
, novel stochastic photo-thermoelasticity model according , , diffusion interaction
Abstract:
A novel technique under the impact of stochastic heating due to the thermal effect of photothermal theory is investigated. Realistically, stochastic processes are taken on the boundary of the semiconductor medium. The interactions between optical, thermal, and mechanical waves in a half-space of the medium are studied according to the photo-thermoelasticity theory. The governing equations are described in one-dimensional elastic-electronic deformation. Laplace transforms with short-time approximation are used to analyze the main physical fields. To study the problem more realistically, some conditions are taken as random with white noise on the free surface of the elastic medium. The deterministic physical quantities are obtained with a stochastic calculus when a numerical inversion of the Laplace transform is applied. The silicon material is utilized to make the stochastic numerical simulation. The comparisons are carried out between the distributions of deterministic and stochastic (statistically, the mean and variance) the main physical quantities along different sample paths graphically and discussed
Author Related Publications
Khaled Lotfy Mohamed Azab, "Analytical solution of fractional order heat equation under the effects of variable thermal conductivity during photothermal excitation of spherical cavity of semiconductor medium", © 2019 Informa UK Limited, trading as Taylor & Francis Group, 2019
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Khaled Lotfy Mohamed Azab, "Thermal Ramp Type of Photo-Thermal Excitation in Hall Current and Variable Thermal Conductivity of Semiconductor Elastic Material", # Springer Nature B.V. 2020, 2020
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Khaled Lotfy Mohamed Azab, "Normal Mode Method for Two-Temperature Generalized Thermoelasticity under Thermal Shock Problem", Taylor & Francis, 2014
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Khaled Lotfy Mohamed Azab, "The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories,", Chinese, 2014
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Khaled Lotfy Mohamed Azab, "Mode-I crack in a two-dimensional fibre-reinforced generalized thermoelastic problem,", Chinese, 2014
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