References
- Gordon J, Leite R, Moore RS, et al. Long-transient effects in lasers with inserted liquid samples. J Appl Phys. 1965;36(1):3–8.
- Kreuzer L. Ultralow gas concentration infrared absorption spectroscopy. J Appl Phys. 1971;42(7):2934–2943.
- Tam A. Ultrasensistive laser spectroscopy, by DS Kliger. New York: Academic Press; 1983.
- Tam AC. Applications of photoacoustic sensing techniques. Rev Mod Phys. 1986;58(2):381.
- Andersson E. Laser-induced fluorescence for medical diagnostics. Weinheim (Germany): Wiley VCH Verlag GmbH & Co.; 1989.
- Todorović D, Nikolić P, Bojičić A. Photoacoustic frequency transmission technique: electronic deformation mechanism in semiconductors. J Appl Phys. 1999;85(11):7716–7726.
- Song Y, Todorovic DM, Cretin B, et al. Study on the generalized thermoelastic vibration of the optically excited semiconducting microcantilevers. Int J Solids Struct. 2010;47(14-15):1871–1875.
- Hobiny AD, Abbas IA. A study on photothermal waves in an unbounded semiconductor medium with cylindrical cavity. Mech Time-Depend Mater. 2017;21(1):61–72.
- Abbas IA, Hobiny A. Photo-thermal-elastic interaction in an unbounded semiconducting medium with spherical cavity due to pulse heat flux. Waves Random Complex Media. 2018;28(4):670–682.
- Hobiny A, Abbas I. Two-temperature photothermal interactions in a semiconducting material with a 3D spherical cavity. Phys Mesomech. 2019;22(4):327–332.
- Alzahrani FS, Abbas IA. Photo-thermal interactions in a semiconducting media with a spherical cavity under hyperbolic Two-temperature model. Mathematics. 2020;8(4):585.
- Lotfy K. A novel solution of fractional order heat equation for photothermal waves in a semiconductor medium with a spherical cavity. Chaos, Solitons Fractals. 2017;99:233–242.
- Lotfy K. Analytical solution of fractional order heat equation under the effects of variable thermal conductivity during photothermal excitation of spherical cavity of semiconductor medium. Waves Random Complex Media. 2021;31(2):239–254.
- Lotfy K, Gabr M, Hassan W. A novel photothermal excitation cracked medium in gravitational field with two-temperature and hydrostatic initial stress. Waves Random Complex Media. 2019;29(2):344–367.
- Youssef HM, El-Bary AA. Characterization of the photothermal interaction on a viscoelastic semiconducting solid cylinder due to ramp-type heating based on green-naghdi theories. Results Phys. 2020;19:103396.
- Youssef HM, El-Bary AA. Characterization of the photothermal interaction on a viscothermoelastic semiconducting solid cylinder due to rotation under Lord-Shulman model. Alexandria Eng J. 2021;60(2):2083–2092.
- Youssef HM, El-Bary AA. Characterization of the photothermal interaction due to ramp-type heat on a semiconducting two-dimensional solid cylinder based on the lord–Shulman model by using double Laplace transform. Mech Based Des Struct Mach. 2020. doi:10.1080/15397734.2020.1833740
- Lord HW, Shulman Y. A generalized dynamical theory of thermoelasticity. J Mech Phys Solids. 1967;15(5):299–309.
- Dhaliwal RS, Sherief HH. Generalized thermoelasticity for anisotropic media. Q Appl Math. 1980;38(1):1–8.
- Biot MA. Thermoelasticity and irreversible thermodynamics. J Appl Phys. 1956;27(3):240–253.
- Youssef H. State-space approach on generalized thermoelasticity for an infinite material with a spherical cavity and variable thermal conductivity subjected to ramp-type heating. Canadian Appl Math Quaterly. 2005;13:4.
- Youssef HM. Dependence of modulus of elasticity and thermal conductivity on reference temperature in generalized thermoelasticity for an infinite material with a spherical cavity. Appl Math Mech. 2005;26(4):470–475.
- Youssef HM, Al-Harby AH. State-space approach of two-temperature generalized thermoelasticity of infinite body with a spherical cavity subjected to different types of thermal loading. Arch Appl Mech. 2007;77(9):675–687.
- Youssef HM. Generalized thermoelastic infinite medium with spherical cavity subjected to moving heat source. Comput Math Model. 2010;21(2):212–225.
- Alghamdi NA, Youssef HM. On the application of the adomian’s decomposition method to a generalized thermoelastic infinite medium with a spherical cavity in the framework three different models. Fluid Dyn Mater Process. 2019;15(5):597–611.
- Baksi A, Bera RK, Debnath L. Eigen value approach to study the effect of rotation and relaxation time in two dimensional problems of generalized thermoelasticity. Int J Eng Sci. 2004;42(15-16):1573–1585.
- Othman MI. Effect of rotation on plane waves in generalized thermo-elasticity with two relaxation times. Int J Solids Struct. 2004;41(11-12):2939–2956.
- Sinha M, Bera R. Eigenvalue approach to study the effect of rotation and relaxation time in generalised thermoelasticity. Comput Math Appl. 2003;46(5-6):783–792.
- Othman MI, Singh B. The effect of rotation on generalized micropolar thermoelasticity for a half-space under five theories. Int J Solids Struct. 2007;44(9):2748–2762.
- Singh B, Singla H. The effect of rotation on the propagation of waves in an incompressible transversely isotropic thermoelastic solid. Acta Mech. 2020;231:2485–2495.
- Thibault J, Bergeron S, Bonin HW. On finite-difference solutions of the heat equation in spherical coordinates. Num Heat Trans Part A: Appl. 1987;12(4):457–474.
- Gross D, Seelig T. Fracture mechanics: with an introduction to micromechanics. Berlin: Springer; 2017.
- Öchsner A. Continuum damage mechanics. In: Continuum damage and fracture mechanics. Singapore: Springer; 2016. p. 65–84.
- Voyiadjis GZ. Handbook of damage mechanics: nano to macro scale for materials and structures. New York (NY): Springer; 2015.
- Yao Y, He X, Keer LM, et al. A continuum damage mechanics-based unified creep and plasticity model for solder materials. Acta Mater. 2015;83:160–168.
- Voyiadjis GZ, Kattan PI. Introducing damage mechanics templates for the systematic and consistent formulation of holistic material damage models. Acta Mech. 2017;228(3):951–990.
- Khatir A, Tehami M, Khatir S, et al. Multiple damage detection and localization in beam-like and complex structures using co-ordinate modal assurance criterion combined with firefly and genetic algorithms. J Vibroeng. 2016;18(8):5063–5073.
- Schoenberg M, Censor D. Elastic waves in rotating media. Q Appl Math. 1973;31(1):115–125.
- Youssef HM. Two-temperature generalized thermoelastic infinite medium with cylindrical cavity subjected to moving heat source. Arch Appl Mech. 2010;80(11):1213–1224.
- Youssef H. Two-Temperature generalized thermoelastic infinite medium with cylindrical cavity subjected to different types of thermal loading. WSEAS Trans Heat Mass Transfer. 2006;1(10):769.
- Tzou DY. A unified field approach for heat conduction from macro-to micro-scales. J Heat Transfer. 1995;117(1):8–16.
- Chen Z, Akbarzadeh A. Advanced thermal stress analysis of smart materials and structures. Switzerland: Springer Nature; 2020.
- Youssef HM. State-space approach on generalized thermoelasticity for an infinite material with a spherical cavity and variable thermal conductivity subjected to ramp-type heating. Canadian Appl Math Quaterly. 2005;13:4.
- Hopcroft MA, Nix WD, Kenny TW. What is the young's modulus of silicon? J Microelectromech Syst. 2010;19(2):229–238.