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Erschienen in: Microsystem Technologies 12/2017

16.03.2017 | Technical Paper

Magnetothermoelstic analysis for an infinite solid cylinder with variable thermal conductivity due to harmonically varying heat

verfasst von: Mohamed I. A. Othman, Ahmed E. Abouelregal

Erschienen in: Microsystem Technologies | Ausgabe 12/2017

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Abstract

The model of the generalized magneto-thermoelasticity with phase-lags in a perfectly conducting an infinitely long solid cylinder with variable thermal conductivity is established. The surface of the cylinder is traction free and subjected to time dependent temperature. A detailed analysis of the effects of the phase-lags, the angular frequency of thermal vibration and the variability thermal conductivity parameter on the displacement, incremental temperature, and the thermal stresses are presented. Comparisons are also made with the results predicted by the coupled theory and with the theory of generalized thermoelasticity with one relaxation time. Finally, some of the earlier results are deduced as particular cases.

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Literatur
Zurück zum Zitat Abouelregal AE (2011) Fractional order generalized thermo-piezoelectric semi-infinite medium with temperature-dependent properties subjected to a ramp-type heating. J Therm Stresses 11:1139–1155CrossRef Abouelregal AE (2011) Fractional order generalized thermo-piezoelectric semi-infinite medium with temperature-dependent properties subjected to a ramp-type heating. J Therm Stresses 11:1139–1155CrossRef
Zurück zum Zitat Abouelregal AE, Abo-Dahab SM (2012) Dual phase lag model on magneto-thermoelasticity infinite nonhomogeneous solid having a spherical cavity. J Therm Stresses 35(9):733–848CrossRef Abouelregal AE, Abo-Dahab SM (2012) Dual phase lag model on magneto-thermoelasticity infinite nonhomogeneous solid having a spherical cavity. J Therm Stresses 35(9):733–848CrossRef
Zurück zum Zitat Abouelregal AE, Abo-Dahab SM (2014) Dual-phase-lag diffusion model for Thomson’s phenomenon on elctromagneto-thermoelastic an infinitely long solid cylinder. J Comput Theor Nanosci 11:1–9CrossRef Abouelregal AE, Abo-Dahab SM (2014) Dual-phase-lag diffusion model for Thomson’s phenomenon on elctromagneto-thermoelastic an infinitely long solid cylinder. J Comput Theor Nanosci 11:1–9CrossRef
Zurück zum Zitat Abouelregal AE, Zenkour AM (2015) Generalized thermoelastic vibration of a microbeam with an axial force. Microsyst Technol 21(7):1427–1435CrossRef Abouelregal AE, Zenkour AM (2015) Generalized thermoelastic vibration of a microbeam with an axial force. Microsyst Technol 21(7):1427–1435CrossRef
Zurück zum Zitat Berman R (1953) The thermal conductivity of dielectric solids at low temperatures. Adv in Phys 2(5):103–140CrossRef Berman R (1953) The thermal conductivity of dielectric solids at low temperatures. Adv in Phys 2(5):103–140CrossRef
Zurück zum Zitat Budaev OR, Ivanova MN, Damdinov BB (2003) Temperature dependence of shear elasticity of some liquids. Adv Colloid Interface Sci 104:307–310CrossRef Budaev OR, Ivanova MN, Damdinov BB (2003) Temperature dependence of shear elasticity of some liquids. Adv Colloid Interface Sci 104:307–310CrossRef
Zurück zum Zitat El-Bary AA (2006) An infinite thermoelastic long annular cylinder with variable thermal conductivity. J Appl Sci Research 2(6):341–345 El-Bary AA (2006) An infinite thermoelastic long annular cylinder with variable thermal conductivity. J Appl Sci Research 2(6):341–345
Zurück zum Zitat Ezzat MA, Othman MIA (2002) State-space approach to generalized magneto-thermoelasticity with thermal relaxation in a medium of perfect conductivity. J Therm Stresses 25:409–429CrossRef Ezzat MA, Othman MIA (2002) State-space approach to generalized magneto-thermoelasticity with thermal relaxation in a medium of perfect conductivity. J Therm Stresses 25:409–429CrossRef
Zurück zum Zitat Lee ZY (2009) Magneto thermoelastic analysis of multilayered conical shells subjected to magnetic and vapor fields. Int J Therm Sci 48:50–72CrossRef Lee ZY (2009) Magneto thermoelastic analysis of multilayered conical shells subjected to magnetic and vapor fields. Int J Therm Sci 48:50–72CrossRef
Zurück zum Zitat Lord HW, Shulman Y (1967) A generalized dynamical theory of thermoelasticity. J Mech Phys Solids 15:299–309CrossRefMATH Lord HW, Shulman Y (1967) A generalized dynamical theory of thermoelasticity. J Mech Phys Solids 15:299–309CrossRefMATH
Zurück zum Zitat Noda N (1986) Thermal stresses in materials with temperature-dependent properties. Thermal stresses I, Hetnarski RB (ed), North-Holland, Amsterdam Noda N (1986) Thermal stresses in materials with temperature-dependent properties. Thermal stresses I, Hetnarski RB (ed), North-Holland, Amsterdam
Zurück zum Zitat Othman MIA (2002) Lord-Shulman theory under the dependence of the modulus of elasticity on the reference temperature in two-dimensional generalized thermoelasticity. J Therm Stresses 25:1027–1045CrossRef Othman MIA (2002) Lord-Shulman theory under the dependence of the modulus of elasticity on the reference temperature in two-dimensional generalized thermoelasticity. J Therm Stresses 25:1027–1045CrossRef
Zurück zum Zitat Othman MIA, Abbas IA (2012) Generalized thermoelsticity of thermal shock problem in a non-homo-geneous isotropic hollow cylinder with energy dissipation. Int J Thermophys 33(5):913–923CrossRef Othman MIA, Abbas IA (2012) Generalized thermoelsticity of thermal shock problem in a non-homo-geneous isotropic hollow cylinder with energy dissipation. Int J Thermophys 33(5):913–923CrossRef
Zurück zum Zitat Othman MIA, Abbas IA (2015) Effect of rotation on a magneto-thermoelastic hollow cylinder with energy dissipation using finite element method. J Comput Theor Nanosci 12(9):2399–2404CrossRef Othman MIA, Abbas IA (2015) Effect of rotation on a magneto-thermoelastic hollow cylinder with energy dissipation using finite element method. J Comput Theor Nanosci 12(9):2399–2404CrossRef
Zurück zum Zitat Othman MIA, Atwa SY, Elwan AW (2016) The effect of phase lag and gravity field on generalized thermoelastic medium in two and three dimensions. J Comput Theor Nanosci 13(5):2827–2837CrossRef Othman MIA, Atwa SY, Elwan AW (2016) The effect of phase lag and gravity field on generalized thermoelastic medium in two and three dimensions. J Comput Theor Nanosci 13(5):2827–2837CrossRef
Zurück zum Zitat Rishin VV, Lyashenko BA, Akinin KG, Nadezhdin GN (1973) Temperature dependence of adhesion strength and elasticity of some resistant coatings. Strength Mater 5:123–126CrossRef Rishin VV, Lyashenko BA, Akinin KG, Nadezhdin GN (1973) Temperature dependence of adhesion strength and elasticity of some resistant coatings. Strength Mater 5:123–126CrossRef
Zurück zum Zitat Szuecs F, Werner M, Sussmann RS, Pickles CSJ, Frecht MJ (1999) Temperature dependence of Young’s modulus and degradation of chemical vapor deposited diamond. J Appl Phys 86:6010–6017CrossRef Szuecs F, Werner M, Sussmann RS, Pickles CSJ, Frecht MJ (1999) Temperature dependence of Young’s modulus and degradation of chemical vapor deposited diamond. J Appl Phys 86:6010–6017CrossRef
Zurück zum Zitat Tianhu H, Yapeng S, Xiaogeng T (2004) A two-dimensional generalized thermal shock problem for a half-space in electromagneto-thermoelasticit. Int J Eng Sci 42:809–823CrossRefMATH Tianhu H, Yapeng S, Xiaogeng T (2004) A two-dimensional generalized thermal shock problem for a half-space in electromagneto-thermoelasticit. Int J Eng Sci 42:809–823CrossRefMATH
Zurück zum Zitat Tzou DY (1995) A unified approach for heat conduction from macro- to micro-scales. J Heat Transfer 117:8–16CrossRef Tzou DY (1995) A unified approach for heat conduction from macro- to micro-scales. J Heat Transfer 117:8–16CrossRef
Zurück zum Zitat Tzou DY (1996) Macro-to microscale heat transfer: the lagging behavior. Taylor and Francis, Washington DC Tzou DY (1996) Macro-to microscale heat transfer: the lagging behavior. Taylor and Francis, Washington DC
Zurück zum Zitat Wang X, Dong K (2006) Magnetothermodynamic stress and perturbation of magnetic field vector in a nonhomogeneous thermoelastic cylinder. Euro J Mech A/Sol 25:98–109CrossRefMATH Wang X, Dong K (2006) Magnetothermodynamic stress and perturbation of magnetic field vector in a nonhomogeneous thermoelastic cylinder. Euro J Mech A/Sol 25:98–109CrossRefMATH
Zurück zum Zitat Zenkour AM, Abouelregal AE (2015) Nonlocal thermoelastic nanobeam subjected to a sinusoidal pulse heating and temperature-dependent physical properties. Microsys Techno 21:1767–1776CrossRef Zenkour AM, Abouelregal AE (2015) Nonlocal thermoelastic nanobeam subjected to a sinusoidal pulse heating and temperature-dependent physical properties. Microsys Techno 21:1767–1776CrossRef
Metadaten
Titel
Magnetothermoelstic analysis for an infinite solid cylinder with variable thermal conductivity due to harmonically varying heat
verfasst von
Mohamed I. A. Othman
Ahmed E. Abouelregal
Publikationsdatum
16.03.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Microsystem Technologies / Ausgabe 12/2017
Print ISSN: 0946-7076
Elektronische ISSN: 1432-1858
DOI
https://doi.org/10.1007/s00542-017-3357-1

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