Skip to main content
Erschienen in: Meccanica 6/2013

01.08.2013

2-D problem of a Mode-I crack for a generalized thermoelasticity under Green-Naghdi theory

verfasst von: Mohamed I. A. Othman, Sarhan Y. Atwa

Erschienen in: Meccanica | Ausgabe 6/2013

Einloggen

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

search-config
loading …

Abstract

A general model of the equations of the generalized thermoelasticity for an infinite space weakened by a finite linear opening Mode-I crack is solved. The crack is subjected to prescribed temperature and stress distribution in the context of Green-Naghdi theory. The normal mode analysis is used to obtain the exact expressions for the displacement components, the force stresses, the temperature and the couple stresses. Comparisons are made with the results predicted in the both type II, III of Green-Naghdi theory. It is found that a Mode-I crack has great effects on the distribution of field quantities with energy dissipation.

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!

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!

Literatur
1.
Zurück zum Zitat Nowacki W (1962) Thermoelasticity. Addison-Wesley, London, pp 5–30 Nowacki W (1962) Thermoelasticity. Addison-Wesley, London, pp 5–30
2.
Zurück zum Zitat Nowinski JL (1978) Theory of thermoelasticity with applications. Sijthoff and Noordhoff, Alphen aan den Rijn, pp 826–840 MATHCrossRef Nowinski JL (1978) Theory of thermoelasticity with applications. Sijthoff and Noordhoff, Alphen aan den Rijn, pp 826–840 MATHCrossRef
4.
Zurück zum Zitat Lord HW, Shulman Y (1967) A generalized dynamical theory of thermoelasticity. J Mech Phys Solids 15:299–309 ADSMATHCrossRef Lord HW, Shulman Y (1967) A generalized dynamical theory of thermoelasticity. J Mech Phys Solids 15:299–309 ADSMATHCrossRef
5.
6.
Zurück zum Zitat Sherief HH, Dhaliwal RS (1981) Generalized one-dimensional thermal-shock problem for small times. J Therm Stresses 4:407–420 CrossRef Sherief HH, Dhaliwal RS (1981) Generalized one-dimensional thermal-shock problem for small times. J Therm Stresses 4:407–420 CrossRef
7.
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 thermo-elasticity. J Therm Stresses 25:1027–1045 CrossRef 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 Therm Stresses 25:1027–1045 CrossRef
8.
Zurück zum Zitat Müller I (1971) The coldness, a universal function in thermoelastic bodies. Arch Ration Mech Anal 41:319–332 MATHCrossRef Müller I (1971) The coldness, a universal function in thermoelastic bodies. Arch Ration Mech Anal 41:319–332 MATHCrossRef
10.
Zurück zum Zitat Othman MIA (2010) The effect of rotation and thermal shock on a perfect conducting elastic half-space in generalized magneto-thermoelasticity with two relaxation times. Mech Mech Eng 14(1):31–55 Othman MIA (2010) The effect of rotation and thermal shock on a perfect conducting elastic half-space in generalized magneto-thermoelasticity with two relaxation times. Mech Mech Eng 14(1):31–55
13.
Zurück zum Zitat Othman MIA, Song Y (2006) The effect of rotation on the reflection of magneto-thermoelastic waves under thermoelasticity without energy dissipation. Acta Mech 184:189–204 MATHCrossRef Othman MIA, Song Y (2006) The effect of rotation on the reflection of magneto-thermoelastic waves under thermoelasticity without energy dissipation. Acta Mech 184:189–204 MATHCrossRef
14.
Zurück zum Zitat 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 Struct 44:5651–5664 MATHCrossRef 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 Struct 44:5651–5664 MATHCrossRef
15.
Zurück zum Zitat Othman MIA, Atwa SY, Farouk RM (2008) Generalized magneto-thermo-visco-elastic plane waves under the effect of rotation without energy dissipation. Int J Eng Sci 46:639–653 MathSciNetMATHCrossRef Othman MIA, Atwa SY, Farouk RM (2008) Generalized magneto-thermo-visco-elastic plane waves under the effect of rotation without energy dissipation. Int J Eng Sci 46:639–653 MathSciNetMATHCrossRef
16.
Zurück zum Zitat Othman MIA, Atwa SY, Farouk RM (2009) The effect of diffusion on two-dimensional problem of generalized thermoelasticity with Green-Naghdi theory. Int Commun Heat Mass Transf 36:857–864 CrossRef Othman MIA, Atwa SY, Farouk RM (2009) The effect of diffusion on two-dimensional problem of generalized thermoelasticity with Green-Naghdi theory. Int Commun Heat Mass Transf 36:857–864 CrossRef
17.
Zurück zum Zitat Dhaliwal R (1980) External crack due to thermal effects in an infinite elastic solid with a cylindrical inclusion. Thermal stresses in severe environments. Plenum, New York and London, pp 665–692 Dhaliwal R (1980) External crack due to thermal effects in an infinite elastic solid with a cylindrical inclusion. Thermal stresses in severe environments. Plenum, New York and London, pp 665–692
18.
Zurück zum Zitat Hasanyan D, Librescu L, Qin Z, Young RD (2005) Thermoelastic cracked plates carrying nonstationary electrical current. J Therm Stresses 28:729–745 CrossRef Hasanyan D, Librescu L, Qin Z, Young RD (2005) Thermoelastic cracked plates carrying nonstationary electrical current. J Therm Stresses 28:729–745 CrossRef
19.
Zurück zum Zitat Ueda S (2003) Thermally induced fracture of a piezoelectric laminate with a crack normal to interfaces. J Therm Stresses 26:311–323 CrossRef Ueda S (2003) Thermally induced fracture of a piezoelectric laminate with a crack normal to interfaces. J Therm Stresses 26:311–323 CrossRef
20.
Zurück zum Zitat Elfalaky A, Abdel-Halim AA (2006) A mode-I crack problem for an infinite space in thermoelasticity. J Appl Sci 6:598–606 CrossRef Elfalaky A, Abdel-Halim AA (2006) A mode-I crack problem for an infinite space in thermoelasticity. J Appl Sci 6:598–606 CrossRef
Metadaten
Titel
2-D problem of a Mode-I crack for a generalized thermoelasticity under Green-Naghdi theory
verfasst von
Mohamed I. A. Othman
Sarhan Y. Atwa
Publikationsdatum
01.08.2013
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 6/2013
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-012-9683-6

Weitere Artikel der Ausgabe 6/2013

Meccanica 6/2013 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.