Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Microsystem Technologies
Erschienen in: Microsystem Technologies 2/2020

12.06.2019 | Technical paper

On thermoelectric materials with memory-dependent derivative and subjected to a moving heat source

verfasst von: Mohamed H. Hendy, Sayed I. El-Attar, Magdy A. Ezzat

Erschienen in: Microsystem Technologies | Ausgabe 2/2020

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

We develop a model of generalized thermoelasticity with memory-dependent derivative (MDD) heat conduction law for a thermoelectric half-space. Some urgent theories take after as most remote point cases. The Laplace transform and state-space procedures are utilized to urge the overall account for any arrangement of limit conditions. The general solution acquired is connected to the particular issue of a half-space exposed to a uniform magnetic field, a moving heat source with consistent speed and ramp-type heating. The inverse Laplace transforms are registered numerically. The impacts of various estimations of the figure-of-merit quantity, heat source speed, MDD parameters, the magnetic number and the ramping time parameter are thought about.
Vorheriger Artikel A study on the elastic coefficients of setback micro-springs for a MEMS safety and arming device
Nächster Artikel Exploration on relationship between flow rate and sound pressure level of piezoelectric pump

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Literatur
Chandrasekharaiah DS (1986) Thermoelasticity with second sound: a review. Appl Mech Rev 39:355–376MATHCrossRef
Chandrasekharaiah DS (1998) Hyperbolic thermoelasticity, a review of recent literature. Appl Mech Rev 51:705–729CrossRef
El-Karamany AS, Ezzat MA (2002) On the boundary integral formulation of thermo-viscoelasticity theory. Int J Eng Sci 40:1943–1956MathSciNetMATHCrossRef
Ezzat MA (1994) State space approach to unsteady two-dimensional free convection flow through a porous medium. Can J Phys 72:311–317MathSciNetCrossRef
Ezzat MA (2006) The relaxation effects of the volume properties of electrically conducting viscoelastic material. Math Sci Eng B 130:11–23CrossRef
Ezzat MA (2011) Thermoelectric MHD with modified Fourier’s law. Int J Therm Sci 50:449–455CrossRef
Ezzat MA, Abd-Elaal MZ (1997a) State space approach to viscoelastic fluid flow of hydromagnetic fluctuating boundary-layer through a porous medium. ZAMM 77:197–207MathSciNetMATHCrossRef
Ezzat MA, Abd-Elaal MZ (1997b) Free convection effects on a viscoelastic boundary layer flow with one relaxation time through a porous medium. J Frank Inst 334:685–706MathSciNetMATHCrossRef
Ezzat MA, Awad ES (2010) Constitutive relations, uniqueness of solution, and thermal shock application in the linear theory of micropolar generalized thermoelasticity involving two temperatures. J Therm Stress 33:226–250CrossRef
Ezzat MA, El-Bary AA (2015) Memory-dependent derivatives theory of thermo-viscoelasticity involving two-temperature. J Mech Sci Tech 29:4273–4279CrossRef
Ezzat MA, El-Bary AA (2016) Thermoelectric MHD with memory-dependent derivative heat transfer. Int Commun Heat Mass Transfer 75:270–281CrossRef
Ezzat MA, El-Bary AA (2017) A functionally graded magneto-thermoelastic half space with memory-dependent derivatives heat transfer. Steel Compos Struct Int J 25:177–186
Ezzat MA, El-Bary AA (2018) Unified GN model of electro-thermoelasticity theories with fractional order of heat transfer. Micro Syst 24:4965–4979
Ezzat MA, El-Karamany AS (2003) On uniqueness and reciprocity theorems for generalized thermoviscoelasticity with thermal relaxation. Can J Phys 81:823–833CrossRef
Ezzat MA, Youssef HM (2010) Stokes’ first problem for an electro-conducting micropolar fluid with thermoelectric properties. Can J Phys 88:35–48CrossRef
Ezzat MA, Othman MI, El-Karamany AS (2001) State space approach to generalized thermo-viscoelasticity with two relaxation times. Int J Eng Sci 40:283–302MathSciNetCrossRef
Ezzat MA, El-Karamany AS, El-Bary AA (2014) Generalized thermo-viscoelasticity with memory-dependent derivatives. Int J Mech Sci 89:470–475CrossRef
Hendy MH, Amin MM, Ezzat MA (2018) Magneto-electric interactions without energy dissipation for a fractional thermoelastic spherical cavity. Micro Sys 24:2895–2903
Hiroshige Y, Makoto O, Toshima N (2007) Thermoelectric figure-of-merit of iodine- doped copolymer of phenylenevinylene with dialkoxyphenylenevinylene. Synth Metals 157:467–474CrossRef
Ignaczak J, Ostoja-starzeweski M (2009) Thermoelasticity with finite wave speeds. Oxford University Press, OxfordMATHCrossRef
Kaliski S, Nowacki W (1963) Combined elastic and electro-magnetic waves produced by thermal shock in the case of a medium of finite electric conductivity. Int J Eng Sci 1:163–175CrossRef
Lata P, Kumar R, Sharma N (2016) Plane waves in an anisotropic thermoelastic. Steel Compos Struct Int J 22:567–587CrossRef
Li D, He T (2018) Investigation of generalized piezoelectric-thermoelastic problem with nonlocal effect and temperature-dependent properties. Heliyon 4:e00860CrossRef
Lord H, Shulman Y (1967) A generalized dynamical theory of thermoelasticity. J Mech Phys Solids 15:299–309MATHCrossRef
Lotfy Kh (2017) A novel solution of fractional order heat equation for photothermal waves in a semiconductor medium with a spherical cavity. Chaos Solis Fract 99:233–242MathSciNetMATHCrossRef
Lotfy K, Sarkar N (2017) Memory-dependent derivatives for photothermal semiconducting medium in generalized thermoelasticity with two-temperature. Mech Time Depend Mat 21:519–534CrossRef
Othman MI, Lotfy K (2013) The effect of magnetic field and rotation of the 2-D problem of a fiber-reinforced thermoelastic under three theories with influence of gravity. Mech Mater 60:129–143CrossRef
Othman MI, Ezzat MA, Zaki SA, El-Karamany AS (2002) Generalized thermo- viscoelastic plane waves with two relaxation times. Int J Eng Sci 40:1329–1347MathSciNetMATHCrossRef
Rowe DM (1995) Handbook of thermoelectrics. CRC Press, Boca Raton
Sarkar N, Lotfy K (2018) A 2D problem of time-fractional heat order for two-temperature thermoelasticity under hydrostatic initial stress. Mech Adv Math Struct 25:279–285CrossRef
Shaw S (2019) Theory of generalized thermoelasticity with memory-dependent derivatives. J Eng Mech 145:04019003CrossRef
Shereif HH (1986) Fundamental solution of generalized thermoelastic problem for short times. J Therm Stress 9:151–164CrossRef
Sherief HH, Abd El-Latief AM (2013) Effect of variable thermal conductivity on a half-space under the fractional order theory of thermoelasticity. Int J Mech Sci 74:185–189CrossRef
Sherief HH, Abd El-Latief AM (2014) Application of fractional order theory of thermoelasticity to a 1D problem for a half-space. J Appl Math Mech 94:509–515MathSciNetMATH
Sherief HH, El-Said A, Abd El-Latief A (2010) Fractional order theory of thermoelasticity. Int J Solids Struct 47:269–275MATHCrossRef
Tiwari R, Mukhopadhyay S (2018) Analysis of wave propagation in the presence of a continuous line heat source under heat transfer with memory dependent derivatives. Math Mech Solids 23:820–834MathSciNetMATHCrossRef
Tritt TM (1999) Thermoelectric materials new directions and approaches. Math Res Soc Syma Proc 545:233–246
Tritt TM (2000) Semiconductors and semimetals, recent trends in thermoelectric materials research. Academic Press, San Diego
Xue Z-N, Chen Z-T, Tian X-G (2018) Thermoelastic analysis of a cracked strip under thermal impact based on memory-dependent heat conduction model. Eng Fract Mech 200:479–498CrossRef
Yu Y-J, Hu W, Tian X-G (2014) A novel generalized thermoelasticity model based on memory-dependent derivative. Int J Eng Sci 81:123–134MathSciNetMATHCrossRef
Metadaten
Titel
On thermoelectric materials with memory-dependent derivative and subjected to a moving heat source
verfasst von
Mohamed H. Hendy
Sayed I. El-Attar
Magdy A. Ezzat
Publikationsdatum
12.06.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Microsystem Technologies / Ausgabe 2/2020
Print ISSN: 0946-7076
Elektronische ISSN: 1432-1858
DOI
https://doi.org/10.1007/s00542-019-04519-8

Weitere Artikel der Ausgabe 2/2020

Microsystem Technologies 2/2020 Zur Ausgabe

Technical Paper

Longitudinal vibration of carbon nanotubes with elastically restrained ends using doublet mechanics

Technical Paper

Experimental study on band merging of non-linear multi-band piezoelectric energy harvester into single broadband using magnetic coupling

Technical Paper

A 3D printed centrifugal microfluidic platform for automated colorimetric urinalysis

Correction

Correction to: Buckling of magneto-electro-hygro-thermal piezoelectric nanoplates system embedded in a visco-Pasternak medium based on nonlocal theory

Technical Paper

Direct laser writing to fabricate capacitively transduced resonating sensor

Technical Paper

Investigating the effects of surface superhydrophobicity on moisture ingression of nanofiber-reinforced bio-composite structures

Neuer Inhalt

    Bildnachweise