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SOLUTION OF LORD-SHULMANS AND DUAL-PHASE-LAG THEORIES PROBLEM ON A PHOTOTHERMAL ROTATIONAL SEMICONDUCTOR MEDIUM WITH VOIDS AND INITIAL STRESS

ABSTRACT
This paper discusses a photo-thermal rotational semiconductor medium with ini­tial stress, and voids by considering two thermoelastic theories: Lord-Shulman and Dual-Phase-Lag models. The equations of motion, temperature, voids, and photothermal have been investigated under two generalized thermoelastic theory. The technique of normal mode has been applied to solve the differential equa­tions system with appropriate boundary conditions. Quantities of physical interest such as displacement, stress components, concentration, temperature, and carrier density are calculated and displayed graphically to demonstrate the effect of the external parameters. The obtained results, by using the two theories, show that the dual-phase-lag theory gives an origin results comparing with obtained results by Lord-Shulman theory. By neglecting the initial stress and voids, and considering the only dual-phase-lag theory, then the results obtained in this paper are deduced to the results of Abbas et al. [1].
KEYWORDS
PAPER SUBMITTED: 2020-04-19
PAPER REVISED: 2020-05-20
PAPER ACCEPTED: 2020-05-30
PUBLISHED ONLINE: 2020-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI20S1059A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Supplement 1, PAGES [S59 - S68]
REFERENCES
  1. Abbas, I. A., et al., A DPL Model of Photothermal Interaction in a Semiconductor Material, Waves in Random and Complex Media, 29 (2019), 2, pp. 328-343
  2. Farhan, A., Abd-Alla, A., Effect of Rotation on the Surface Wave Propagation in Magneto-Thermoelastic Materials with Voids, Journal of Ocean Engineering and Science, 3 (2018), 4, pp. 334-342
  3. Othman, M. I., et al., Effect of Initial Stress on a Thermoelastic Medium with Voids and Microtemperatures, Journal of Porous Media, 19 (2016), 2, pp. 155-172
  4. Biot, M. A., Thermoelasticity and Irreversible Thermodynamics, Journal of Applied Physics, 27 (1956), 3, pp. 240-253
  5. Lord, H. W., Shulman, Y., A., Generalized Dynamical Theory of Thermoelasticity, Journal of the Mechanics and Physics of Solids, 15 (1967), 5, pp. 299-309
  6. Hetnarski, R. B., Ignaczak, J., Generalized Thermoelasticity, Journal of Thermal Stresses, 22 (1999), 4-5, pp. 451-476
  7. Bachher, M., et al., Generalized Thermoelastic Infinite Medium with Voids Subjected to a Instantaneous Heat Sources with Fractional Derivative Heat Transfer, International Journal of Mechanical Sciences, 89 (2014), Dec., pp. 84-91
  8. Cowin, S. C., Nunziato, J. W., Linear Elastic Materials with Voids, Journal of Elasticity, 13 (1983), 2, pp. 125-147
  9. Dhaliwal, R. S., Singh, A., Dynamic Coupled Thermoelasticity, Hindustan Publishing Corporation, New Delhi, India, 1980
  10. Eringen, A. C., Suhubi, E., Non-Linear Theory of Simple Microelastic Solids, International Journal of Engineering Science, 2 (1964), 2, pp. 189-203
  11. Othman, M. I., et al., Propagation of the Photothermal Waves in a Semiconducting Medium under LS Theory, Journal of Thermal Stresses, 39 (2016), 11, pp. 1419-1427
  12. Song, Y., et al., Study on the Reflection of Photothermal Waves in a Semiconducting Medium under Generalized Thermoelastic Theory, Acta Mechanica, 223 (2012), 7, pp. 1545-1557
  13. Todorović, D., et al., Photoacoustic Frequency Transmission Technique: Electronic Deformation Mechanism in Semiconductors, Journal of Applied Physics, 85 (1999), 11, pp. 7716-7726
  14. Lotfy, K., Gabr, M., Response of a Semiconducting Infinite Medium under Two Temperature Theory with Photothermal Excitation Due to Laser Pulses, Optics and Laser Technology, 97 (2017), Dec., pp.198-208
  15. Todorović, D., Plasma, Thermal, and Elastic Waves in Semiconductors, Review of Scientific Instruments, 74 (2003), 1, pp. 582-585
  16. Lotfy, K., et al., Thermomechanical Response Model on a Reflection Photothermal Diffusion Waves (RPTD) for Semiconductor Medium, Silicon, 12 (2020), 1, pp. 99-209
  17. Lotfy, K., A Novel Solution of Fractional Order Heat Equation for Photothermal Waves in a Semiconductor Medium with a Spherical Cavity, Chaos, Solitons and Fractals, 99 (2017), pp. 233-242

© 2022 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence