How to cite this paper
Abbas, I., Alzahrani, F & Berto, F. (2018). The effect of fractional derivative on photo-thermoelastic interaction in an infinite semiconducting medium with a cylindrical hole.Engineering Solid Mechanics, 6(3), 275-284.
Refrences
Abbas, I. A. (2014a). Eigenvalue approach for an unbounded medium with a spherical cavity based upon two-temperature generalized thermoelastic theory. Journal of Mechanical Science and Technology, 28(10), 4193-4198.
Abbas, I. A. (2014b). Eigenvalue approach in a three-dimensional generalized thermoelastic interactions with temperature-dependent material properties. Computers & Mathematics with Applications, 68(12), 2036-2056.
Abbas, I. A. (2014c). A problem on functional graded material under fractional order theory of thermoelasticity. Theoretical and Applied Fracture Mechanics, 74, 18-22.
Abbas, I. A. (2014d). The effects of relaxation times and a moving heat source on a two-temperature generalized thermoelastic thin slim strip. Canadian Journal of Physics, 93(5), 585-590.
Abbas, I. A. (2015a). Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity. Applied Mathematical Modelling, 39(20), 6196-6206.
Abbas, I. A. (2015b). A dual phase lag model on thermoelastic interaction in an infinite fiber-reinforced anisotropic medium with a circular hole. Mechanics Based Design of Structures and Machines, 43(4), 501-513.
Abbas, I. A. (2015c). Eigenvalue approach to fractional order generalized magneto-thermoelastic medium subjected to moving heat source. Journal of Magnetism and Magnetic Materials, 377, 452-459.
Abbas, I. A. (2016). A dual phase lag model on photothermal interaction in an unbounded semiconductor medium with cylindrical cavity. International Journal of Computational Materials Science and Engineering, 5(03), 1650016.
Almond, D. P., & Patel, P. (1996). Photothermal science and techniques (Vol. 10). Springer Science & Business Media.
Das, N. C., Lahiri, A., & Giri, R. R. (1997). Eigenvalue approach to generalized thermoelasticity. Indian Journal of Pure and Applied Mathematics, 28, 1573-1594.
El-Karamany, A. S., & Ezzat, M. A. (2011). On fractional thermoelasticity. Mathematics and Mechanics of Solids, 16(3), 334-346.
Ezzat, M. A. (2011a). Magneto-thermoelasticity with thermoelectric properties and fractional derivative heat transfer. Physica B: Condensed Matter, 406(1), 30-35.
Ezzat, M. A. (2011b). Theory of fractional order in generalized thermoelectric MHD. Applied Mathematical Modelling, 35(10), 4965-4978.
Ezzat, M. A., & El-Karamany, A. S. (2011a). Fractional order theory of a perfect conducting thermoelastic medium. Canadian Journal of Physics, 89(3), 311-318.
Ezzat, M. A., & El Karamany, A. S. (2011b). Theory of fractional order in electro-thermoelasticity. European Journal of Mechanics-A/Solids, 30(4), 491-500.
Hobiny, A. D., & Abbas, I. A. (2017). A study on photothermal waves in an unbounded semiconductor medium with cylindrical cavity. Mechanics of Time-Dependent Materials, 21(1), 61-72.
Jackson, W., & Amer, N. M. (1980). Piezoelectric photoacoustic detection: theory and experiment. Journal of Applied Physics, 51(6), 3343-3353.
Kumar, R., Gupta, V., & Abbas, I. A. (2013). Plane deformation due to thermal source in fractional order thermoelastic media. Journal of computational and theoretical nanoscience, 10(10), 2520-2525.
Lord, H. W., & Shulman, Y. (1967). A generalized dynamical theory of thermoelasticity. Journal of the Mechanics and Physics of Solids, 15(5), 299-309.
Mandelis, A. (1987). Photoacoustic and thermal wave phenomena in semiconductors.
Mandelis, A., & Hess, P. (2000). Semiconductors and electronic materials (Vol. 4). Spie Press.
Mandelis, A., Nestoros, M., & Christofides, C. (1997). Thermoelectronic-wave coupling in laser photothermal theory of semiconductors at elevated temperatures. Optical Engineering, 36(2), 459-469.
McDonald, F. A., & Wetsel Jr, G. C. (1978). Generalized theory of the photoacoustic effect. Journal of Applied Physics, 49(4), 2313-2322.
Opsal, J., & Rosencwaig, A. (1985). Thermal and plasma wave depth profiling in silicon. Applied Physics Letters, 47(5), 498-500.
Rosencwaig, A., Opsal, J., & Willenborg, D. L. (1983). Thin-film thickness measurements with thermal waves. Le Journal de Physique Colloques, 44(C6), C6-483.
Sherief, H., & El-Latief, A. A. (2013). Effect of variable thermal conductivity on a half-space under the fractional order theory of thermoelasticity. International Journal of Mechanical Sciences, 74, 185-189.
Sherief, H. H., El-Sayed, A. M. A., & El-Latief, A. A. (2010). Fractional order theory of thermoelasticity. International Journal of Solids and structures, 47(2), 269-275.
Song, Y., Cretin, B., Todorovic, D. M., & Vairac, P. (2008). Study of photothermal vibrations of semiconductor cantilevers near the resonant frequency. Journal of Physics D: Applied Physics, 41(15), 155106.
Song, Y., Todorovic, D. M., Cretin, B., Vairac, P., Xu, J., & Bai, J. (2014). Bending of semiconducting cantilevers under photothermal excitation. International Journal of Thermophysics, 35(2), 305-319.
Stearns, R. G., & Kino, G. S. (1985). Effect of electronic strain on photoacoustic generation in silicon. Applied Physics Letters, 47(10), 1048-1050.
Stehfest, H. (1970). Algorithm 368: Numerical inversion of Laplace transforms [D5]. Communications of the ACM, 13(1), 47-49.
Todorović, D. M. (2003a). Photothermal and electronic elastic effects in microelectromechanical structures. Review of Scientific Instruments, 74(1), 578-581.
Todorović, D. M. (2003b). Plasma, thermal, and elastic waves in semiconductors. Review of Scientific Instruments, 74(1), 582-585.
Todorović, D. M. (2005, June). Plasmaelastic and thermoelastic waves in semiconductors. In Journal de Physique IV (Proceedings) (Vol. 125, pp. 551-555). EDP sciences.
Youssef, H. M. (2010). Theory of fractional order generalized thermoelasticity. Journal of Heat Transfer, 132(6), 061301.
Youssef, H. M. (2012). Two-dimensional thermal shock problem of fractional order generalized thermoelasticity. Acta Mechanica, 223(6), 1219-1231.
Youssef, H. M., & Al-Lehaibi, E. A. (2010). Variational principle of fractional order generalized thermoelasticity. Applied Mathematics Letters, 23(10), 1183-1187.
Zenkour, A. M., & Abouelregal, A. E. (2015). Effect of temperature dependency on constrained orthotropic unbounded body with a cylindrical cavity due to pulse heat flux. Journal of Thermal Science and Technology, 10(1), JTST0019-JTST0019.
Abbas, I. A. (2014b). Eigenvalue approach in a three-dimensional generalized thermoelastic interactions with temperature-dependent material properties. Computers & Mathematics with Applications, 68(12), 2036-2056.
Abbas, I. A. (2014c). A problem on functional graded material under fractional order theory of thermoelasticity. Theoretical and Applied Fracture Mechanics, 74, 18-22.
Abbas, I. A. (2014d). The effects of relaxation times and a moving heat source on a two-temperature generalized thermoelastic thin slim strip. Canadian Journal of Physics, 93(5), 585-590.
Abbas, I. A. (2015a). Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity. Applied Mathematical Modelling, 39(20), 6196-6206.
Abbas, I. A. (2015b). A dual phase lag model on thermoelastic interaction in an infinite fiber-reinforced anisotropic medium with a circular hole. Mechanics Based Design of Structures and Machines, 43(4), 501-513.
Abbas, I. A. (2015c). Eigenvalue approach to fractional order generalized magneto-thermoelastic medium subjected to moving heat source. Journal of Magnetism and Magnetic Materials, 377, 452-459.
Abbas, I. A. (2016). A dual phase lag model on photothermal interaction in an unbounded semiconductor medium with cylindrical cavity. International Journal of Computational Materials Science and Engineering, 5(03), 1650016.
Almond, D. P., & Patel, P. (1996). Photothermal science and techniques (Vol. 10). Springer Science & Business Media.
Das, N. C., Lahiri, A., & Giri, R. R. (1997). Eigenvalue approach to generalized thermoelasticity. Indian Journal of Pure and Applied Mathematics, 28, 1573-1594.
El-Karamany, A. S., & Ezzat, M. A. (2011). On fractional thermoelasticity. Mathematics and Mechanics of Solids, 16(3), 334-346.
Ezzat, M. A. (2011a). Magneto-thermoelasticity with thermoelectric properties and fractional derivative heat transfer. Physica B: Condensed Matter, 406(1), 30-35.
Ezzat, M. A. (2011b). Theory of fractional order in generalized thermoelectric MHD. Applied Mathematical Modelling, 35(10), 4965-4978.
Ezzat, M. A., & El-Karamany, A. S. (2011a). Fractional order theory of a perfect conducting thermoelastic medium. Canadian Journal of Physics, 89(3), 311-318.
Ezzat, M. A., & El Karamany, A. S. (2011b). Theory of fractional order in electro-thermoelasticity. European Journal of Mechanics-A/Solids, 30(4), 491-500.
Hobiny, A. D., & Abbas, I. A. (2017). A study on photothermal waves in an unbounded semiconductor medium with cylindrical cavity. Mechanics of Time-Dependent Materials, 21(1), 61-72.
Jackson, W., & Amer, N. M. (1980). Piezoelectric photoacoustic detection: theory and experiment. Journal of Applied Physics, 51(6), 3343-3353.
Kumar, R., Gupta, V., & Abbas, I. A. (2013). Plane deformation due to thermal source in fractional order thermoelastic media. Journal of computational and theoretical nanoscience, 10(10), 2520-2525.
Lord, H. W., & Shulman, Y. (1967). A generalized dynamical theory of thermoelasticity. Journal of the Mechanics and Physics of Solids, 15(5), 299-309.
Mandelis, A. (1987). Photoacoustic and thermal wave phenomena in semiconductors.
Mandelis, A., & Hess, P. (2000). Semiconductors and electronic materials (Vol. 4). Spie Press.
Mandelis, A., Nestoros, M., & Christofides, C. (1997). Thermoelectronic-wave coupling in laser photothermal theory of semiconductors at elevated temperatures. Optical Engineering, 36(2), 459-469.
McDonald, F. A., & Wetsel Jr, G. C. (1978). Generalized theory of the photoacoustic effect. Journal of Applied Physics, 49(4), 2313-2322.
Opsal, J., & Rosencwaig, A. (1985). Thermal and plasma wave depth profiling in silicon. Applied Physics Letters, 47(5), 498-500.
Rosencwaig, A., Opsal, J., & Willenborg, D. L. (1983). Thin-film thickness measurements with thermal waves. Le Journal de Physique Colloques, 44(C6), C6-483.
Sherief, H., & El-Latief, A. A. (2013). Effect of variable thermal conductivity on a half-space under the fractional order theory of thermoelasticity. International Journal of Mechanical Sciences, 74, 185-189.
Sherief, H. H., El-Sayed, A. M. A., & El-Latief, A. A. (2010). Fractional order theory of thermoelasticity. International Journal of Solids and structures, 47(2), 269-275.
Song, Y., Cretin, B., Todorovic, D. M., & Vairac, P. (2008). Study of photothermal vibrations of semiconductor cantilevers near the resonant frequency. Journal of Physics D: Applied Physics, 41(15), 155106.
Song, Y., Todorovic, D. M., Cretin, B., Vairac, P., Xu, J., & Bai, J. (2014). Bending of semiconducting cantilevers under photothermal excitation. International Journal of Thermophysics, 35(2), 305-319.
Stearns, R. G., & Kino, G. S. (1985). Effect of electronic strain on photoacoustic generation in silicon. Applied Physics Letters, 47(10), 1048-1050.
Stehfest, H. (1970). Algorithm 368: Numerical inversion of Laplace transforms [D5]. Communications of the ACM, 13(1), 47-49.
Todorović, D. M. (2003a). Photothermal and electronic elastic effects in microelectromechanical structures. Review of Scientific Instruments, 74(1), 578-581.
Todorović, D. M. (2003b). Plasma, thermal, and elastic waves in semiconductors. Review of Scientific Instruments, 74(1), 582-585.
Todorović, D. M. (2005, June). Plasmaelastic and thermoelastic waves in semiconductors. In Journal de Physique IV (Proceedings) (Vol. 125, pp. 551-555). EDP sciences.
Youssef, H. M. (2010). Theory of fractional order generalized thermoelasticity. Journal of Heat Transfer, 132(6), 061301.
Youssef, H. M. (2012). Two-dimensional thermal shock problem of fractional order generalized thermoelasticity. Acta Mechanica, 223(6), 1219-1231.
Youssef, H. M., & Al-Lehaibi, E. A. (2010). Variational principle of fractional order generalized thermoelasticity. Applied Mathematics Letters, 23(10), 1183-1187.
Zenkour, A. M., & Abouelregal, A. E. (2015). Effect of temperature dependency on constrained orthotropic unbounded body with a cylindrical cavity due to pulse heat flux. Journal of Thermal Science and Technology, 10(1), JTST0019-JTST0019.