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Effect of initial stress on a semiconductor material with temperature dependent properties under DPL model

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Abstract

Based on DPL model, the thermoelastic behavior of a semiconductor material subjected to an initial stress, with temperature dependent properties, is proposed. The normal mode analysis method resorted to for a solution. Numerically simulated results are obtained, and presented graphically for silicon, to depict the effect of initial stress and temperature dependent property parameters on the different physical quantities.

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References

  • Abbas IA (2016) A dual phase lag model on photothermal interaction in an unbounded semiconductor medium with cylindrical cavity. Int J Comput Mater Sci Eng 5(3):1650016

    Google Scholar 

  • Abbas IA, Aly KA (2016) A study on photothermal waves in a semiconductor material photogenerated by a focused laser beam. J Mol Eng Mater 4(2):1650003. doi:10.1142/S2251237316500039

    Article  Google Scholar 

  • Abbas IA, Youssef HM (2012) A nonlinear generalized thermoelasticity model of temperature-dependent materials using finite element method. Int J Thermophys 33:1302–1313

    Article  Google Scholar 

  • Abd-Alla AM, Abo-Dahab SM (2012) Effect of rotation and initial stress on an infinite generalized magneto-thermoelastic diffusion body with a spherical cavity. J Thermal Stress 35:892–912

    Article  Google Scholar 

  • Abo-Dahab SM, Lotfy Kh (2017) Two-temperature plane strain problem in a semiconducting medium under photothermal theory. Waves Random Complex Media 27(1):67–91

    Article  MathSciNet  Google Scholar 

  • Ailawalia P, Kumar S, Khurana G (2009) Deformation in a generalized thermoelastic medium with hydrostatic initial stress subjected to different sources. Mech Mech Eng 13(1):5–24

    Google Scholar 

  • Biot MA (1956) Thermoelasticity and irreversible thermodynamics. J Appl Phys 27:240–253

    Article  MATH  MathSciNet  Google Scholar 

  • Gordon JP, Leite RCC, Moore RS (1965) Long-transient effects in lasers with inserted liquid samples. J Appl Phys 36:3–8

    Article  Google Scholar 

  • Green AE, Lindsay KA (1972) Thermoelasticity. J Elasticity 2:1–7

    Article  MATH  Google Scholar 

  • Green AE, Naghdi PM (1993) Thermoelasticity without energy dissipation. J Elasticity 31:189–208

    Article  MATH  MathSciNet  Google Scholar 

  • Hobiny AD, Abbas IA (2017) A study on photothermal waves in an unbounded semiconductor medium with cylindrical cavity. Mech Time Depend Mater pp 1–12

  • Kreuzer LB (1971) Ultralow gas concentration infrared absorption spectroscopy. J Appl Phys 42:2934–2943

    Article  Google Scholar 

  • Lord HW, Shulman Y (1967) A generalized dynamical theory of thermo-elasticity. J Mech Phys Sol. 15:299–309

    Article  MATH  Google Scholar 

  • Montanaro A (1999) On singular surface in isotropic linear thermoelasticity with initial stress. J Acoust Soc Am 106:1586–1588

    Article  Google Scholar 

  • Noda N (1986) Thermal stress in material with temperature dependent properties. In: Hetnarski RB (ed) Thermal stresses. Elsevier Science, Amsterdam, pp 391–483

    Google Scholar 

  • Othman MIA (2002) Lord–Shulman theory under the dependence of the modulus of elasticity on the reference temperature in two dimensional generalized thermo-elasticity. J Thermal Stresses 25:1027–1045

    Article  Google Scholar 

  • Othman MIA (2003) State-space approach to generalized thermoelasticity plane waves with two relaxation times under the dependence of the modulus of elasticity on reference temperature. Can J Phys 81:1403–1418

    Article  Google Scholar 

  • Othman MIA (2005) Generalized thermoelasticity plane waves in a rotating media with thermal relaxation under the temperature dependent properties. Mech Mech Eng. 9(2):89–110

    Google Scholar 

  • Othman MIA, Kumar R (2009) Reflection of magneto thermoelasticity waves with temperature dependent properties in generalized thermoelasticity. Int Comm Mass Transfer 36:512–520

    Google Scholar 

  • Othman MIA, Song Y (2007) Reflection of plane waves from an elastic solid half-space under hydrostatic initial stress without energy dissipation. Int J Solids Struc 44:5651–5664

    Article  MATH  Google Scholar 

  • Othman MIA, Hasona WM, Eraki EEM (2014) The effect of initial stress on generalized thermoelastic medium with three-phase-lag model under temperature-dependent properties. Can J Phys 92:448–457

    Article  Google Scholar 

  • Othman MIA, Tantawi RS, Eraki EEM (2016a) Propagation of the photothermal waves in a semiconducting medium under L-S theory. J Therm Stresses 39(11):1419–1427

    Article  Google Scholar 

  • Othman MIA, Tantawi RS, Hilal MIM (2016b) Effect of initial stress and gravity field on micropolar thermoelastic solid with microtemperatures. J Theor Appli Mech 54(3):847–857

    Article  Google Scholar 

  • Singh B (2008) Effect of hydrostatic initial stresses on waves in a thermoelastic solid half-space. Appl Math Comp. 198:494–505

    Article  MATH  MathSciNet  Google Scholar 

  • Singh B, Kumar A, Singh J (2006) Reflection of generalized thermoelastic waves from a solid half-space under hydrostatic initial stress. Appl Math Comput 177:170–177

    MATH  MathSciNet  Google Scholar 

  • Song YQ, Todorovic DM, Cretin B (2010) Study on the generalized thermoelastic vibration of the optically excited semiconducting micro-cantilevers. Int J Solids Struct 47:1871–1875

    Article  MATH  Google Scholar 

  • Song YQ, Bai JT, Ren ZY (2012) Study on the reflection of photothermal waves in a semiconducting medium under generalized thermoelastic theory. Acta Mech 223:1545–1557

    Article  MATH  MathSciNet  Google Scholar 

  • Todorovic DM (2003) Plasma, thermal, and elastic waves in semiconductors. Rev Sci Instrum 74:582–585

    Article  Google Scholar 

  • Todorovic DM, Nikolic PM, Bojicic AI (1999) Photoacoustic frequency transmission technique: electronic deformation mechanism in semiconductors. J Appl Phys 85:7716–7726

    Article  Google Scholar 

  • Tzou DY (1995) A unified approach for heat conduction from macro-to micro-scales. J Heat Transfer 117:8–16

    Article  Google Scholar 

  • Tzou DY (1996) Macro-to micro-scale heat transfer: the lagging behavior, 1st edn. Taylor & Francis, Washington

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

    Mohamed I. A. Othman, Ramadan S. Tantawi & Ebtesam E. M. Eraki

  2. Department of Mathematics, Faculty of Science, Taif University 888, Taif, Saudi Arabia

    Mohamed I. A. Othman

Authors
  1. Mohamed I. A. Othman
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  2. Ramadan S. Tantawi
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  3. Ebtesam E. M. Eraki
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Correspondence to Ebtesam E. M. Eraki.

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Othman, M.I.A., Tantawi, R.S. & Eraki, E.E.M. Effect of initial stress on a semiconductor material with temperature dependent properties under DPL model. Microsyst Technol 23, 5587–5598 (2017). https://doi.org/10.1007/s00542-017-3326-8

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  • DOI: https://doi.org/10.1007/s00542-017-3326-8

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