Impact of laser short-pulse heating and variable thermal conductivity on photo-elasto-thermodiffusion waves of fractional heat excited semiconductor

References

• Biot MA. Thermoelasticity and irreversible thermodynamics. J Appl Phys. 1956;27(3):240–253.
   Web of Science ®Google Scholar
• Lord H, Shulman Y. A generalized dynamical theory of thermoelasticity. J Mech Phys Sol. 1967;15(5):299–309.
   Web of Science ®Google Scholar
• Green AE, Lindsay KA. Thermoelasticity. J Elast. 1972;2(1):1–7.
   Google Scholar
• Chandrasekharaiah DS. Thermoelasticity with second sound: a review. Appl Mech Rev. 1986;39(3):355–376.
   Google Scholar
• Chandrasekharaiah DS. Hyperbolic thermoelasticity: a review of recent literature. Appl Mech Rev. 1998;51(12):705–729.
   Google Scholar
• Sharma J, Kumar V, Dayal C. Reflection of generalized thermoelastic waves from the boundary of a half-space. J Therm Stresses. 2003;26(10):925–942.
   Web of Science ®Google Scholar
• Kh. Lotfy, Abo-Dahab S. Two-dimensional problem of two temperature generalized thermoelasticity with normal mode analysis under thermal shock problem. J Comput Theor Nanosci. 2015;12(8):1709–1719.
   Google Scholar
• Othman M, Lotfy K. The influence of gravity on 2-D problem of two temperature generalized thermoelastic medium with thermal relaxation. J Comput Theor Nanosci. 2015;12(9):2587–2600.
   Google Scholar
• Hosseini SM, Sladek J, Sladek V. Two dimensional transient analysis of coupled non-Fick diffusion–thermoelasticity based on Green–Naghdi theory using the meshless local Petrov–Galerkin (MLPG) method. Int J Mech Sci. 2014;82:74–80.
   Web of Science ®Google Scholar
• Hosseini SM, Sladek J, Sladek V. Two dimensional analysis of coupled non-Fick diffusion-elastodynamics problems in functionally graded materials using meshless local Petrov–Galerkin (MLPG) method. Appl Math Comput. 2015;268:937–946.
   Web of Science ®Google Scholar
• Hosseini SM. Shock-induced two dimensional coupled non-Fickian diffusion–elasticity analysis using meshless generalized finite difference (GFD) method. Eng Anal Bound Elem. 2015;61:232–240.
   Web of Science ®Google Scholar
• Hobiny A, Abbas I. Theoretical analysis of thermal damages in skin tissue induced by intense moving heat source. Int J Heat Mass Transf. 2018;124:1011–1014.
   Web of Science ®Google Scholar
• Abbas I. Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity. Appl Math Model. 2015;39(20):6196–6206.
   Web of Science ®Google Scholar
• Abbas I. A two-dimensional problem for a fibre-reinforced anisotropic thermoelastic half-space with energy dissipation. Sadhana. 2011;36(3):411–423.
   Web of Science ®Google Scholar
• Marin M, Othman M, Abbas I. An extension of the domain of influence theorem for generalized thermoelasticity of anisotropic material with voids. J Computat Theoret Nanosci. 2015;12(8):1594–1598.
   Google Scholar
• Abbas I. Analytical solution for a free vibration of a thermoelastic hollow sphere. Mech Based Des Struct Mach. 2014;43(3):265–276.
   Web of Science ®Google Scholar
• Maruszewski B. Electro-magneto-thermo-elasticity of extrinsic semiconductors. classical irreversible thermodynamic approach. Arch Mech. 1986;38:71–82.
   Web of Science ®Google Scholar
• Maruszewski B. Electro-magneto-thermo-elasticity of extrinsic semiconductors, extended irreversible thermodynamic approach. Arch Mech. 1986;38:83–95.
   Web of Science ®Google Scholar
• Maruszewski B. Coupled evolution equations of deformable semiconductors. Int J Eng Sci. 1987;25(2):145–153.
   Web of Science ®Google Scholar
• Sharma J, Nath J, Thakur N. Plane harmonic elasto-thermodiffusive waves in semiconductor materials. J Mech Mater Struct. 2006;1(5):813–835.
   Web of Science ®Google Scholar
• Mandelis A. Photoacoustic and thermal wave phenomena in semiconductors. United States: Elsevier; 1987.
   Google Scholar
• Almond D, Patel P. Photothermal science and techniques. Berlin: Springer Science & Business Media; 1996.
   Google Scholar
• Gordon J, Leite R, Moore R, et al. Long-transient effects in lasers with inserted liquid samples. Bull Am Phys Soc. 1984;119:501–509.
   Google Scholar
• Kh. Lotfy. Effect of variable thermal conductivity during the photothermal diffusion process of semiconductor medium. Silicon. 2019;11(4):1863–1873.
   Web of Science ®Google Scholar
• Hosseini SM, Sladek J, Sladek V. Nonlocal coupled photo-thermoelasticity analysis in a semiconducting micro/nano beam resonator subjected to plasma shock loading: A Green–Naghdi-based analytical solution. Appl Math Model. 2020;88:631–651.
   Web of Science ®Google Scholar
• Yong-Feng L. Square-shaped temperature distribution induced by a Gaussian-shaped laser beam. Appl Surf Sci. 1994;81(3):357–364.
   Web of Science ®Google Scholar
• Aldwoah K, Lotfy K, Mhemdi A, et al. A novel magneto-photo-elasto-thermodiffusion electrons-holes model of excited semiconductor. Case Stud Therm Eng. 2022;32:101877.
   Web of Science ®Google Scholar
• Caputo M, Mainardi F. A new dissipation model based on memory mechanism. Pure Appl Geophys. 1971;91(1):134–147.
   Google Scholar
• Caputo M, Mainardi F. Linear models of dissipation in anelastic solids. Riv del Nuovo Cim. 1971;1(2):161–198.
   Google Scholar
• Caputo M. Vibrations of an infinite viscoelastic layer with a dissipative memory. J Acoust Soc Am. 1974;56(3):897–904.
   Web of Science ®Google Scholar
• Povstenko YZ. Fractional heat conduction equation and associated thermal stress. J Therm Stresses. 2005;28(1):83–102.
   Web of Science ®Google Scholar
• Mainardi F. Applications of fractional calculus in mechanics. In: P Rusev, I Dimovski, V Kiryakova, editor. Transforms method and special functions. Sofia: Bulgarian Academy of Sciences; 1998. p. 309–334.
   Google Scholar
• Kh. Lotfy. A novel solution of fractional order heat equation for photothermal waves in a semiconductor medium with a spherical cavity. Chaos Solitons Fract. 2017;99:233–242.
   Web of Science ®Google Scholar
• Hobiny A, Alzahrani F, Abbas I, et al. The effect of fractional time derivative of bioheat model in skin tissue induced to laser irradiation. Symmetry. 2020;12(4):602.
   Google Scholar
• Othman M, Said S, Marin M. A novel model of plane waves of two-temperature fiber-reinforced thermoelastic medium under the effect of gravity with three-phase-lag model. Int J Numer Method Heat Fluid Fl. 2019;29(12):4788–4806.
   Web of Science ®Google Scholar
• Marin M, Lupu M. On harmonicvibrations in thermoelasticity of micropolar bodies. J Vib Control. 1998;4(5):507–518.
   Web of Science ®Google Scholar
• Marin M, Stan G. Weak solutions in elasticity of dipolar bodies with stretch. Carpathian J Math. 2013;29(1):33–40.
   Web of Science ®Google Scholar
• Podlubny I. Fractional differential equations. New York: Academic Press; 1999.
   Google Scholar
• Tritt TM. Thermal conductivity theory, properties, and applications. Springer; 2004.
   Google Scholar
• Vandersande J, Wood C. The thermal conductivity of insulators and semiconductors. Contemp Phys. 1986;27(2):117–144.
   Web of Science ®Google Scholar
• Marin M. A domain of influence theorem for microstretch elastic materials. Nonlinear Anal RWA. 2010;11(5):3446–3452.
   Google Scholar
• Marin M. A partition of energy in thermoelasticity of microstretch bodies. Nonlinear Anal: RWA. 2010;11(4):2436–2447.
   Google Scholar
• Abbas I, Marin M. Analytical solutions of a two-dimensional generalized thermoelastic diffusions problem due to laser pulse. Iranian J Sci Technol Trans Mech Eng. 2018;42(1):57–71.
   Web of Science ®Google Scholar
• Youssef H, El-Bary A. Two-temperature generalized thermoelasticity with variable thermal conductivity. J Therm Stresses. 2010;33(3):187–201.
   Web of Science ®Google Scholar
• Abbas I, Alzahrani F, Elaiw A. A DPL model of photothermal interaction in a semiconductor material. Waves Random Complex Media. 2019;29(2):328–343.
   Web of Science ®Google Scholar
• Mondal S, Sur A. Photo-thermo-elastic wave propagation in an orthotropic semiconductor with a spherical cavity and memory responses. Waves Random Complex Media. 2021;31(6):1835–1858.
   Web of Science ®Google Scholar
• Liu J, Han M, Wang R, et al. Photothermal phenomenon: extended ideas for thermophysical properties characterization. J Appl Phys. 2022;131(6):065107, doi:10.1063/5.0082014.
   Web of Science ®Google Scholar