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Research Article
Ashraf M. Zenkour
King Abdulaziz University
Corresponding Author
ORCiD: https://orcid.org/0000-0002-0883-8073
License:
This work is licensed under a CC BY 4.0 License. Read Full License
In this article, a generalized photo-thermoelastic model with relaxation time (GPTE) was introduced and applied to an infinite semiconductor body in the form of a solid cylinder. The cylinder and its adjoining vacuum are constrained exposed to periodic decaying varying heat and subjected to a uniform axial magnetic field. Analytical formulas of the physical quantities of the problem were obtained using Laplace transformations. A numerical method is used to find the inverse Laplace transforms. The effect of phase-lags, the temperature frequency on the derived expressions have been illustrated graphically and discussed.
Keywords
Photo-thermoelasticity, relaxation time, periodic decaying heat, solid cylinder, semiconductor, magnetic field
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A new preprint design is coming!
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This is a preprint, a preliminary version of a manuscript that has not completed peer review at a journal. Research Square does not conduct peer review prior to posting preprints. The posting of a preprint on this server should not be interpreted as an endorsement of its validity or suitability for dissemination as established information or for guiding clinical practice.
Research Article
Ashraf M. Zenkour
King Abdulaziz University
Corresponding Author
ORCiD: https://orcid.org/0000-0002-0883-8073
Badges
Prescreen
This manuscript passed our Prescreen assessment
Complete author information
Appropriate declaration statements
Potential risks to human health
Prescreen
History
CURRENT STATUS: Posted
Version 1
Posted 15 Feb, 2021
No community comments so far
Metrics
Comments: 0
PDF Downloads: ...
HTML Views: ...
Subject Areas
Mathematical and Theoretical Biology
License:
This work is licensed under a CC BY 4.0 License. Read Full License
In this article, a generalized photo-thermoelastic model with relaxation time (GPTE) was introduced and applied to an infinite semiconductor body in the form of a solid cylinder. The cylinder and its adjoining vacuum are constrained exposed to periodic decaying varying heat and subjected to a uniform axial magnetic field. Analytical formulas of the physical quantities of the problem were obtained using Laplace transformations. A numerical method is used to find the inverse Laplace transforms. The effect of phase-lags, the temperature frequency on the derived expressions have been illustrated graphically and discussed.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Figure 19
Figure 20
Figure 21
Figure 22
Figure 23
Figure 24
The full text of this article is available to read as a PDF.
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