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
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
MTZ-Fachkongress

Antriebe und Energiesysteme von morgen


Austausch von Automobil- und Energiewirtschaft

Am 14./15. Mai geht es in Chemnitz um die Mobilitätswende durch Elektro- und Wasserstofffahrzeuge.
Erweiterte Suche
Anmelden
nach oben
Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 4/2016

25.08.2015 | Original

The mixed-mode analysis of a functionally graded orthotropic half-plane weakened by multiple curved cracks

verfasst von: M. M. Monfared, M. Ayatollahi, S. M. Mousavi

Erschienen in: Archive of Applied Mechanics | Ausgabe 4/2016

Einloggen

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

search-config
loading …

Abstract

The problem of functionally graded orthotropic half-plane with climb and glide edge dislocations is solved. Dislocations are used as the building blocks of defects to model cracks of modes I and II. Following a dislocation-based approach, the problem is reduced to a system of singular integral equations for dislocation density functions on the surfaces of smooth cracks. These integral equations enforce the crack-face boundary conditions and are solved numerically for the dislocation density. The numerical results include the stress intensity factors for several different cases of crack configurations and arrangements.
Vorheriger Artikel Elastic fields of a finite plate containing a circular inclusion by the distributed dislocation method
Nächster Artikel A boundary modulation formulation for cable’s non-planar coupled dynamics under out-of-plane support motion

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
Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Erdogan, F.: Stress distribution in a non-homogeneous elastic plane with cracks. J. Appl. Mech. Trans. ASME 30, 232–236 (1963)CrossRefMATH
2.
Karihaloo, B.L.: Spread of plasticity from stacked stress concentrations. Int. J. Solids Struct. 13, 221–228 (1977)CrossRefMATH
3.
Karihaloo, B.L.: Fracture characteristics of solids containing doubly-periodic arrays of cracks. Proc. R. Soc. Lond. A 360, 373–387 (1978)CrossRefMATH
4.
Karihaloo, B.L.: Fracture of solids containing arrays of cracks. Eng. Fract. Mech. 12, 49–77 (1979)CrossRef
5.
Delale, F., Erdogan, F.: Crack problem for a non-homogenous plane. J. Appl. Mech. 50, 609–614 (1983)CrossRefMATH
6.
Delale, F., Erdogan, F.: Interface crack in a nonhomogeneous elastic medium. Int. J. Eng. Sci. 26, 559–568 (1988)CrossRefMATH
7.
Erdogan, F., Kaya, A.C., Joseph, P.F.: The crack problem in bonded nonhomogeneous materials. J. Appl. Mech. Trans. ASME 58, 410–418 (1991)CrossRefMATH
8.
Ozturk, M., Erdogan, F.: The axisymmetric crack problem in a nonhomogeneous medium. J. Appl. Mech. Trans. ASME 60, 406–413 (1993)CrossRefMATH
9.
Konda, N., Erdogan, F.: The mixed mode crack problem in a nonhomogeneous elastic medium. Eng. Fract. Mech. 47, 533–545 (1994)CrossRef
10.
Mauge, C., Kachanov, M.: Anisotropic material with interacting arbitrarily oriented cracks stress intensity factors and crack-microcrack interactions. Int. J. Fract. 65, 115–139 (1994)MATH
11.
Erdogan, F.: Fracture mechanics of functionally graded materials. Compos. Eng. 5, 753–770 (1995)CrossRef
12.
Chen, Y.F., Erdogan, F.: The interface crack problem for a nonhomogeneous coating bonded to homogeneous substrate. J. Mech. Phys. Solids 44, 771–787 (1996)CrossRef
13.
Jin, Z.H., Batra, R.C.: Some basic fracture mechanics concepts in functionally graded materials. J. Mech. Phys. Solids 44, 1221–1235 (1996)CrossRef
14.
Gu, P., Asaro, R.J.: Cracks in functionally graded materials. Int. J. Solids Struct. 34, 1–17 (1997)CrossRefMATH
15.
Ozturk, M., Erdogan, F.: Mode I crack problem in an inhomogeneous orthotropic medium. Int. J. Eng. Sci. 35, 869–883 (1997)CrossRefMATH
16.
Ozturk, M., Erdogan, F.: The mixed mode crack problem in an inhomogeneous orthotropic medium. Int. J. Fract. 98, 243–261 (1999)CrossRef
17.
Anlas, G., Santare, M.H., Lambros, J.: Numerical calculation of stress intensity factors in functionally graded materials. Int. J. Fract. 104, 131–143 (2000)CrossRef
18.
Huang, H., Kardomateas, G.A.: Stress intensity factors for a mixed mode center crack in an anisotropic strip. Int. J. Fract. 108, 367–381 (2001)CrossRef
19.
Dolbow, J.E., Gosz, M.: On the computation of mixed-mode stress intensity factors in functionally graded materials. Int. J. Solids Struct. 39, 2557–2574 (2002)CrossRefMATH
20.
Wang, L.B., Mai, Y.W., Sun, Y.G.: Fracture mechanics analysis model for functionally graded materials with arbitrarily distributed properties. Int. J. Fract. 116, 161–177 (2002)CrossRef
21.
Guo, L.C., Wu, L.Z., Zeng, T., Ma, L.: Mode I crack problem for a functionally graded orthotropic strip. Eur. J. Mech. A Solids 23, 219–234 (2004)CrossRefMATH
22.
Long, X., Delale, F.: The mixed mode crack problem in an FGM layer bonded to a homogeneous half-plane. Int. J. Solids Struct. 42, 3897–3917 (2005)CrossRefMATH
23.
Ma, L., Wu, L.Z., Guo, L.C., Zhou, Z.G.: Dynamic behavior of a finite crack in the functionally graded materials. Mech. Mater. 37, 1153–1165 (2005)CrossRef
24.
Menouillard, T., Elguedj, T., Combescure, A.: Mixed mode stress intensity factors for graded materials. Int. J. Solids Struct. 43, 1946–1959 (2006)CrossRefMATH
25.
Chang, J.H., Wu, D.J.: Computation of mixed-mode stress intensity factors for curved cracks in anisotropic elastic solids. Eng. Fract. Mech. 74, 1360–1372 (2007)MathSciNetCrossRef
26.
Dag, S., Yildirim, B., Sarikaya, D.: Mixed-mode fracture analysis of orthotropic functionally graded materials under mechanical and thermal loads. Int. J. Solids Struct. 44, 7816–7840 (2007)CrossRefMATH
27.
Fotuhi, A.R., Fariborz, S.J.: In-plane stress analysis of an orthotropic plane containing multiple defects. Int. J. Solids Struct. 44, 4167–4183 (2007)CrossRefMATH
28.
Faal, R.T., Fariborz, S.J.: Stress analysis of orthotropic planes weakened by cracks. Appl. Math. Model. 31, 1133–1148 (2007)CrossRefMATH
29.
Fotuhi, A.R., Faal, R.T., Fariborz, S.J.: In-plane analysis of a cracked orthotropic half-plane. Int. J. Solids Struct. 44, 1608–1627 (2007)CrossRefMATH
30.
Sladek, J., Sladek, V., Zhang, C.H.: Evaluation of the stress intensity factors for cracks in continuously non-homogeneous solids, Part I: interaction integral. Mech. Adv. Mater. Struct. 15, 438–443 (2008)CrossRef
31.
Hongmin, X., Xuefeng, Y., Xiqiao, F., Yeh, H.Y.: Dynamic stress intensity factors of a semi-infinite crack in an orthotropic functionally graded material. Mech. Mater. 40, 37–47 (2008)CrossRef
32.
Ayatollahi, M., Fariborz, S.J.: Elastodynamic analysis of a plane weakened by several cracks. Int. J. Solids Struct. 46, 1743–1754 (2009)CrossRefMATH
33.
Mousavi, S.M., Fariborz, S.J.: Anti-plane elastodynamic analysis of cracked graded orthotropic layers with viscous damping. Appl. Math. Model. 36, 1626–1638 (2012)MathSciNetCrossRefMATH
34.
Baghestani, A.M., Fotuhi, A.R., Fariborz, S.J.: Multiple interacting cracks in an orthotropic layer. Arch. Appl. Mech. 83, 1549–1567 (2013)CrossRefMATH
35.
Erdogan, F., Gupta, G.D., Cook, T.S.: Numerical solution of integral equations. In: Sih, G.C. Methods of Analysis and Solution of Crack Problems. Noordhoff, Leyden, Holland (1973)
36.
Herakovich, C.T.: Mechanics of Fibrous Composites. Wiley, New York (1997)
Metadaten
Titel
The mixed-mode analysis of a functionally graded orthotropic half-plane weakened by multiple curved cracks
verfasst von
M. M. Monfared
M. Ayatollahi
S. M. Mousavi
Publikationsdatum
25.08.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 4/2016
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-015-1057-9

Weitere Artikel der Ausgabe 4/2016

Archive of Applied Mechanics 4/2016 Zur Ausgabe

Original

Generalized Reynolds equation for fluid film problems with arbitrary boundary conditions: application to double-sided spiral groove thrust bearings

Original

A damage tolerance analysis for complex structures

Original

Mathematical modelling of nonlinear vibration and fretting wear of the nuclear fuel rods

Original

Dynamics and stability of a cylindrical shell subjected to annular flow including temperature effects

Original

A mathematical programming approach for frictional contact problems with the extended finite element method

Original

A web-based tool for the interactive visualization of stresses in an infinite plate with an elliptical hole under simple tension: www.ltm.fau.de/plate

Premium Partner

    Marktübersichten

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

    Zur Marktübersicht
    Bildnachweise