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Microsystem Technologies

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17.01.2017 | Technical Paper

Thermal shock problem of two-temperature generalized thermoelasticity without energy dissipation with rotation

verfasst von: A. K. Khamis, M. A. H. Ismail, Hamdy M. Youssef, A. A. El-Bary

Erschienen in: Microsystem Technologies | Ausgabe 10/2017

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Abstract

In this paper, we constructed a mathematical model for a thermoelastic half-space medium based on two-temperature generalized thermoelasticity without energy dissipation. The Laplace transforms techniques have been used to get the general solution for a particular model when the medium is subjected to thermal shock by using stat-space approach. The inversion of the Laplace transforms has been calculated numerically and after that we presented the results graphically with some comparisons to study the impact of thermal or mechanical load on the speed of progress of mechanical and thermal waves through the medium. Also, to studying the effect of the two-temperature parameter rotation parameter on all the studied field.

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Abbas IA (2013) Two-temperature Green and Naghdi model on thermoelastic interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole. J Theor Appl Mech 43:79–94MathSciNetCrossRefMATH

Abbas IA, Kumar R, Singh Reen L (2014) Response of thermal source in transversely isotropic thermoelastic materials without energy dissipation and with two-temperature. Can J Phys 92(11):1305–1311CrossRef

Atwa S (2014) Generalized magneto-thermoelasticity with two temperature and initial stress under Green–Naghdi Theory. Appl Math Model 38(21):5217–5230MathSciNetCrossRef

Atwa SY, Jahangir A (2013) Two-temperature effects on plane waves in generalized thermo-microstretch elastic solid. Int J Thermophys 35(1):1–19

Bala K (2012) A review on two-temperature thermoelasticity. Int J Modern Eng Res 2:4–12

Banik S, Kanoria M (2011) Two-temperature generalized thermoelastic interactions in an infinite body with a spherical cavity. Int J Thermophys 32:1247–1270CrossRef

Bassiouny E, Youssef HM (2008) Two-temperature generalized thermopiezoelasticity of finite rod subjected to different types of thermal loading. J Therm Stresses 31:233–245CrossRef

Bassiouny E, Youssef HM (2013) Thermo-elastic properties of thin ceramic layers subjected to thermal loadings. J Thermoelast 1:9–20

Boley BA, Tolins IS (1962) Transient coupled thermoelastic boundary value problems in the half-space. J Appl Mech 29:637–646MathSciNetCrossRefMATH

Carme Leseduarte M, Quintanilla R (2014) On the backward in time problem for the thermoelasticity with two temperatures. Discrete Contin Dyn Syst Ser B 19(3):679–695MathSciNetCrossRefMATH

Chen PJ, Gurtin ME (1968) On a theory of heat conduction involving two temperatures. Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 19:614–627CrossRefMATH

Chen PJ, Williams WO (1968) A note on non-simple heat conduction. Zeitschrift für angewandte Mathematik und Physik ZAMP 19:969–970CrossRef

Chen PJ, Gurtin ME, Williams WO (1969) On the thermodynamics of non-simple elastic materials with two temperatures. Zeitschrift für angewandte Mathematik und Physik ZAMP 20:107–112CrossRefMATH

El-Bary AA, Atef HM (2016a) Modified approach for stress strain equation in the linear Kelvin– Voigt solid based on fractional order. J Comput Theor Nanosci 13(1):579–583CrossRef

El-Bary AA, Atef HM (2016b) On effect of viscous fractional parameter on infinite thermo viscoelastic medium with a spherical cavity. J Comput Theor Nanosci 13(1):1027–1036CrossRef

Ezzat Magdy A, El-Bary Alaa A (2014) Two-temperature theory of magneto-thermo-viscoelasticity with fractional derivative and integral orders heat transfer. J Electromagn Waves Appl 28:1985–2004CrossRef

Ezzat MA, El-Bary AA (2015a) A novel magneto-thermoelasticity theory with memory-dependent derivative. J Electromagn Waves Appl 29:1018–1031CrossRef

Ezzat MA, El-Bary AA (2015b) Memory- dependent derivatives theory of thermo-viscoelasticity involving two- temperature. J Mech Sci Technol 29:4273–4279CrossRef

Ezzat MA, El-Bary AA (2016a) Effects of variable thermal conductivity and fractional order of heat transfer on a perfect conducting infinitely long hollow cylinder. Int J Therm Sci 108:62–69CrossRef

Ezzat MA, El-Bary AA (2016b) Generalized fractional magneto-thermo-viscoelasticity. Microsyst Technol. doi:10.1007/s00542-016-2904-5 (under press) MATH

Ezzat MA, El-Bary AA (2016c) Application of fractional order theory of magneto-thermoelasticity to an infinite perfect conducting body with a cylindrical cavity. Microsyst Technol (under press)

Ezzat MA, Youssef HM (2014) Two-temperature theory in three-dimensional problem for thermoelastic half space subjected to Ramp type heating. Mech Adv Mater Struct 21:293–304CrossRef

Ezzat MA, Zakaria M, El-Bary AA (2010) Thermo-electric-visco-elastic material. J Appl Polym Sci 117:1934–1944CrossRef

Ezzat M, El-Bary AA, Ezzat S (2011) Combined heat and mass transfer for unsteady MHD flow of perfect conducting. Energy Convers Manag 52:934–945CrossRef

Ezzat MA, Zakaria M, El-Bary AA (2012) Two-temperature theory in thermo-electric viscoelastic material subjected to modified Ohm’s and Fourier’s laws. Mech Adv Mater Struct 19:453–464CrossRef

Ezzat MA, El-Bary AA, Fayik MA (2013a) Fractional fourier law with three-phase lag of thermoelasticity. Mech Adv Mater Struct 20:593–602CrossRef

Ezzat MA, El-Karamany AS, El-Bary AA, Fayik MA (2013b) Fractional calculus in one-dimensional isotropic thermo-viscoelasticity. C R Mecanique 341:553–566CrossRef

Ezzat MA, El-Karamany Ahmed S, El-Bary AA, Fayik MA (2014a) Fractional ultrafast laser-induced magneto thermoelastic behavior in perfect conducting metal films. J Electromagn Waves Appl 28(1):64–82CrossRef

Ezzat MA, El-Karamany AS, El-Bary AA (2014b) Generalized thermo-viscoelasticity with memory-dependent derivatives. Int J Mech Sci 89:470–475CrossRef

Ezzat Magdy A, El-Karamany Ahmed S, El-Bary Alaa A (2015a) Electro-magnetic waves in generalized thermo-viscoelasticity for different theories. Int J Appl Electromagn Mech 47:95–111

Ezzat MA, El-Karamany AS, El-Bary AA (2015b) Thermo-viscoelastic materials with fractional relaxation operators. Appl Math Model 39(23):7499–7512MathSciNetCrossRef

Ezzat Magdy A, El-Karamany Ahmed S, El-Bary Alaa A (2016a) Generalized thermoelasticity with memory-dependent derivatives involving two temperatures. Mech Adv Mater Struct 23:545–553CrossRef

Ezzat MA, El Karamany AS, El-Bary AA (2016b) Electro-thermoelasticity theory with memory- dependent derivative heat transfer. Int J Eng Sci 99:22–38MathSciNetCrossRef

Ezzat MA, El-Bary AA, Al-sowayan NS (2016c) Tissue responses to fractional transient heating with sinusoidal heat flux condition on skin surface. Animal Sci J 87:1304–1311CrossRef

Ezzat MA, El-Karamany AS, El-Bary AA (2016c) Application of fractional order theory of thermoelasticity to 3D time-dependent thermal shock problem for a half-space. Mechanics of Advanced Materials and Structures (under press)

Ezzat MA, El-Karamany AS, El-Bary AA (2016e) On dual-phase-lag thermoelasticity theory with memory-dependent derivative. Mech Adv Mater Struct (under press)

Green AE, Naghdi PM (1991) A re-examination of the basic postulates of thermomechanics. Proc R Soc Lond A 432:171–194MathSciNetCrossRefMATH

Green AE, Naghdi PM (1993) Thermoelasticity without energy-dissipation. J Elast 31:189–208MathSciNetCrossRefMATH

Hetnarski RB, Eslami MR (2008) Thermal stresses-advanced theory and applications, vol 158. Springer, New YorkMATH

Kumar R, Chawla V (2010) Wave propagation at the boundary surface of elastic layer overlaying a thermoelastic without energy dissipation half-space. J Solid Mech 2:363–375

Kumar R, Sharma KD, Garg SK (2014) Effect of two temperatures on reflection coefficient in micropolar thermoelastic with and without energy dissipation media. Adv Acoust Vib

Marotti de Sciarra F, Salerno M (2014) On thermodynamic functions in thermoelasticity without energy dissipation. Eur J Mech A/Solids 46:84–95MathSciNetCrossRef

Othman M (2004) Effect of rotation on plane waves in generalized thermo-elasticity with two relaxation times. Int J Solids Struct 41:2939–2956CrossRefMATH

Singh B (2013) Propagation of Rayleigh wave in a two-temperature generalized thermoelastic solid half-space. ISRN Geophys 2013:1–6CrossRef

Singh B, Bala K (2012) Propagation of waves in a two-temperature rotating thermoelastic solid half-space without energy dissipation. Appl Math 3:1903–1909CrossRef

Singh B, Bala K (2013) On Rayleigh wave in two-temperature generalized thermoelastic medium without energy dissipation. Appl Math 4:107–112CrossRef

Tzou DY (1996) Macro-to –Micro Heat Transfer. Taylor & Francis, Washington DC

Wang Y-Z, Zhang X-B, Song X-N (2013) A generalized theory of thermoelasticity based on thermomass and its uniqueness theorem. Acta Mech 225(3):1–12MathSciNet

Warren WE, Chen PJ (1973) Wave propagation in the two temperature theory of thermoelasticity. Acta Mech 16:21–33CrossRefMATH

Youssef HM (2006) Theory of two-temperature-generalized thermoelasticity. IMA J Appl Math 71:383–390MathSciNetCrossRefMATH

Youssef HM (2009) A two-temperature generalized thermoelastic medium subjected to a moving heat source and ramp-type heating: a state-space approach. J Mech Mater Struct 4:1637–1649CrossRef

Youssef HM (2010) Two-temperature generalized thermoelastic infinite medium with cylindrical cavity subjected to moving heat source. Arch Appl Mech 80:1213–1224CrossRefMATH

Youssef HM (2011) Theory of two-temperature thermoelasticity without energy dissipation. J Therm Stress 34:138–146CrossRef

Youssef HM (2012) Two-dimensional thermal shock problem of fractional order generalized thermoelasticity. Acta Mech 223:1219–1231MathSciNetCrossRefMATH

Youssef HM (2013a) State-space approach to two-temperature generalized thermoelasticity without energy dissipation of medium subjected to moving heat source. Appl Math Mech Engl Ed 34:63–74MathSciNetCrossRef

Youssef HM (2013b) State-space approach to fractional order two-temperature generalized thermoelastic medium subjected to moving heat source. Mech Adv Mater Struct 20:47–60CrossRef

Youssef HM, Al-Harby AH (2007) 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 77:675–687CrossRefMATH

Youssef HM, Al-Lehaibi EA (2007) State-space approach of two-temperature generalized thermoelasticity of one-dimensional problem. Int J Solids Struct 44:1550–1562CrossRefMATH

Youssef Hamdy M, El-Bary AA (2006a) Mathematical Model for Thermal Shock Problem of a Generalized Thermoelastic Layered Composite Material with Variable Thermal Conductivity. Comput Methods Sci Technol 12:165–171CrossRefMATH

Youssef HM, El-Bary AA (2006) Thermal shock problem for a generalized thermelastic layered composite material with variable thermal conductivity. Math Probl Eng

Youssef Hamdy M, El-Bary AA (2009) Generalized thermoelastic infinite layer subjected to ramp-type thermal and mechanical loading under three theories—state space approach. J Therm Stresses 32:1293–1310CrossRef

Youssef HM, El-Bary AA (2010) Two-temperature generalized thermoelasticity with variable thermal conductivity. J Therm Stresses 33:187–201CrossRef

Youssef Hamdy M, El-Bary AA (2012) Generalized magneto-thermoelastic medium with variable material properties subjected to Ramp-type heating. J Appl Polym Sci 124:5209–5219

Youssef HM, Elsibai KA, El-Bary AA (2014) Vibration of gold nano beam in context of two-temperature generalized thermoelasticity subjected to laser pulse. Latin Am J Solids Struct 11:2460–2482CrossRef

Titel: Thermal shock problem of two-temperature generalized thermoelasticity without energy dissipation with rotation
verfasst von: A. K. Khamis
M. A. H. Ismail
Hamdy M. Youssef
A. A. El-Bary
Publikationsdatum: 17.01.2017
Verlag: Springer Berlin Heidelberg
Erschienen in: Microsystem Technologies / Ausgabe 10/2017
Print ISSN: 0946-7076
Elektronische ISSN: 1432-1858
DOI: https://doi.org/10.1007/s00542-017-3279-y

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