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
Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 2/2020

27.09.2019 | Original

Surface Zener–Stroh crack model to slip band due to contact

verfasst von: Yumei Zhang, Lifeng Ma

Erschienen in: Archive of Applied Mechanics | Ausgabe 2/2020

Einloggen

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

search-config
loading …

Abstract

A surface slip band due to contact by a rectangular rigid flat-ended indenter is investigated. An inclined Zener–Stroh crack model is proposed to simulate the slip band. By using the fundamental solution of a single dislocation in a half plane as Green’s function, the Zener–Stroh crack is modeled with continuously distributed dislocations. It leads to a singular integral equation of the first kind, which is solved with the Gauss–Chebyshev numerical quadrature, and then stress intensity factors (SIFs) at the crack tips are evaluated. It is demonstrated that the Zener–Stroh crack model can efficiently capture micro deformation behavior of the surface slip band due to contact. With this model, the corresponding relations of the applied load, the slip band length, the relative sliding displacement of slip band and SIFs are obtained. Compared with the experimental results, it is shown that the surface Zener–Stroh crack model to contact slip band can well address such kind of contact damage problems.
Vorheriger Artikel Time-variant reliability modeling based on hybrid non-probability method
Nächster Artikel Passive vibration suppression of plate using multiple optimal dynamic vibration absorbers

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.
Venkataraman, G., Chung, Y.W., Nakasone, Y., Mura, T.: Free-energy formulation of fatigue crack initiation along persistent slip bands-calculation of S–N curves and crack depths. Acta Metall. Mater. 38(1), 31–40 (1990)
2.
Tanaka, K.: A theory of fatigue crack initiation at inclusions. Metall. Trans. Phys. Metall. Mater. Sci. 13(1), 117–123 (1982)
3.
Tanaka, K., Mura, T.: A dislocation model for fatigue crack initiation. J. Appl. Mech. Trans. ASME 48(1), 97–103 (1981)MATH
4.
Mura, T., Nakasone, Y.: A theory of fatigue crack initiation in solids. J. Appl. Mech. Trans. ASME 57(1), 1–6 (1990)
5.
Lin, T.H., Ito, Y.M.: Mechanics of a fatigue crack nucleation mechanism. J. Mech. Phys. Solids 17(6), 511–523 (1969)
6.
Lin, M.R., Fine, M.E., Mura, T.: Fatigue crack initiation on slip bands—theory and experiment. Acta Metall. 34(4), 619–628 (1986)
7.
Fan, H., Keer, L.M., Mura, T.: Near surface crack initiation under contact fatigue. Tribol. Trans. 35(1), 121–127 (1992)
8.
Fan, H., Keer, L.M., Mura, T.: The effect of plastic-deformation on crack initiation in fatigue. Int. J. Solids Struct. 28(9), 1095–1104 (1991)
9.
Cheng, W., Cheng, H.S., Keer, L.M.: Experimental investigation on rolling sliding contact fatigue-crack initiation with artificial defects. Tribol. Trans. 37(1), 1–12 (1994)
10.
Suresh, S., Nieh, T.G., Choi, B.W.: Nano-indentation of copper thin films on silicon substrates. Scr. Mater. 41(9), 951–957 (1999)
11.
Schuh, C.A., Mason, J.K., Lund, A.C.: Quantitative insight into dislocation nucleation from high-temperature nanoindentation experiments. Nat. Mater. 4(8), 617–621 (2005)
12.
Kiely, J.D., Hwang, R.Q., Houston, J.E.: Effect of surface steps on the plastic threshold in nanoindentation. Phys. Rev. Lett. 81(20), 4424–4427 (1998)
13.
Kiely, J.D., Houston, J.E.: Nanomechanical properties of Au (111), (001), and (110) surfaces. Phys. Rev. B 57(19), 12588–12594 (1998)
14.
Mason, J.K., Lund, A.C., Schuh, C.A.: Determining the activation energy and volume for the onset of plasticity during nanoindentation. Phys. Rev. B 73(5), 054102 (2006)
15.
Gerberich, W.W., Nelson, J.C., Lilleodden, E.T., Anderson, P., Wyrobek, J.T.: Indentation induced dislocation nucleation: the initial yield point. Acta Mater. 44(9), 3585–3598 (1996)
16.
Fivel, M.C., Robertson, C.F., Canova, G.R., Boulanger, L.: Three-dimensional modeling of indent-induced plastic zone at a meso-scale. Acta Mater. 46(17), 6183–6194 (1998)
17.
Corcoran, S.G., Colton, R.J., Lilleodden, E.T., Gerberich, W.W.: Anomalous plastic deformation at surfaces: nanoindentation of gold single crystals. Phys. Rev. B 55(24), 16057–16060 (1997)
18.
Chiu, Y.L., Ngan, A.H.W.: Time-dependent characteristics of incipient plasticity in nanoindentation of a Ni\(_{3}\)Al single crystal. Acta Mater. 50(6), 1599–1611 (2002)
19.
Ma, L.F., Korsunsky, A.M., Wiercigroch, M.: Dislocation model of localized plastic deformation initiated with a flat punch. Int. J. Solids Struct. 47(7–8), 1082–1089 (2010)MATH
20.
Rice, J.R., Thomson, R.: Ductile versus brittle behavior of crystals. Philos. Mag. 29(1), 73–97 (1974)
21.
Ma, L.F., Korsunsky, A.M.: Surface dislocation nucleation from frictional sliding contacts. Int. J. Solids Struct. 45(22–23), 5936–5945 (2008) MATH
22.
Yan, B., Zhao, J.: Dislocation nucleation near a sharp indenter in contact problems. Int. J. Fract. 155(2), 119–125 (2009)MATH
23.
Qiu, Y.K., Zhang, P., Ma, L.F.: Collinear micro-shear-bands model for grain-size and precipitate-size effects on the yield strength. Theor. Appl. Mech. Lett. 8(4), 245–251 (2018)
24.
Ma, L.F., Yari, N., Wiercigroch, M.: Shear stress triggering brittle shear fracturing of rock-like materials. Int. J. Mech. Sci. 146, 295–302 (2018)
25.
Zener, C.: The micro-mechanism of fracture. In: Jonassen, F., Roop, W.P., Bayless, R.T. (eds.) Fracturing of Metals, pp. 3–31. American Society for Metals, Cleveland (1948)
26.
Stroh, A.N.: The formation of cracks as a result of plastic flow. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 223(1154), 404–414 (1954)MathSciNetMATH
27.
Weertman, J.: Zener–Stroh crack, Zener–Hollomon parameter, and other topics. J. Appl. Phys. 60(6), 1877–1887 (1986)
28.
Fan, H.: Interfacial Zener–Stroh crack. J Appl Mech Trans ASME 61(4), 829–834 (1994)MATH
29.
Chen, Y.Z.: Multiple Zener–Stroh crack problem in an infinite plate. Acta Mech. 170(1–2), 11–23 (2004)MATH
30.
Xiao, Z.M., Chen, B.J., Fan, H.: A Zener–Stroh crack in a fiber-reinforced composite material. Mech. Mater. 32(10), 593–606 (2000)
31.
Zhao, J.F., Xiao, Z.M.: An inclined Zener–Stroh crack near a free surface. Int. J. Solids Struct. 41(20), 5663–5675 (2004)MATH
32.
Xiao, Z.M., Chen, B.J.: Stress analysis for a Zener–Stroh crack interacting with a coated inclusion. Int. J. Solids Struct. 38(28–29), 5007–5018 (2001)MATH
33.
Fan, M., Yi, D.K., Xiao, Z.M.: Fracture behavior investigation on an arbitrarily oriented sub-interface Zener–Stroh crack. Acta Mech. 226(5), 1591–1603 (2014)MathSciNetMATH
34.
Gao, Y.F., Bower, A.F., Kim, K.S., Lev, L., Cheng, Y.T.: The behavior of an elastic-perfectly plastic sinusoidal surface under contact loading. Wear 261(2), 145–154 (2006)
35.
Gong, Z.Q., Komvopoulos, K.: Effect of surface patterning on contact deformation of elastic–plastic layered media. J. Tribol. Trans. ASME 125(1), 16–24 (2003)
36.
Majumdar, A., Bhushan, B.: Fractal model of elastic–plastic contact between rough surfaces. J. Tribol. 113(1), 1–11 (1991)
37.
Pei, L., Hyun, S., Molinari, J.F., Robbins, M.O.: Finite element modeling of elasto-plastic contact between rough surfaces. J. Mech. Phys. Solids 53(11), 2385–2409 (2005)MATH
38.
Persson, B.: Elastoplastic contact between randomly rough surfaces. Phys. Rev. Lett. 87(11), 116101 (2005)
39.
Giannakopoulos, A.E., Lindley, T.C., Suresh, S.: Overview no. 129—aspects of equivalence between contact mechanics and fracture mechanics: theoretical connections and a life-prediction methodology for fretting-fatigue. Acta Mater. 46(9), 2955–2968 (1998)
40.
Langer, S., Weatherley, D., Olsen-Kettle, L., Finzi, Y.: Stress heterogeneities in earthquake rupture experiments with material contrasts. J. Mech. Phys. Solids 61(3), 742–761 (2013)
41.
Lengliné, O., Elkhoury, J.E., Daniel, G., Schmittbuhl, J., Toussaint, R., Ampuero, J.P., Bouchon, M.: Interplay of seismic and aseismic deformations during earthquake swarms: an experimental approach. Earth Planet. Sci. Lett. 331–332(2), 215–223 (2012)
42.
Rubinstein, S.M., Cohen, G., Fineberg, J.: Detachment fronts and the onset of dynamic friction. Nature 430(7003), 1005–1009 (2004)
43.
Svetlizky, I., Fineberg, J.: Classical shear cracks drive the onset of dry frictional motion. Nature 509(7499), 205–208 (2014)
44.
Sneddon, I.N.: Boussinesq’s problem for a flat-ended cylinder. Math. Proc. Camb. Philos. Soc. 42(1), 29–39 (1946)MathSciNetMATH
45.
Yu, H.H., Shrotriya, P., Gao, Y.F., Kim, K.S.: Micro-plasticity of surface steps under adhesive contact: part I—surface yielding controlled by single-dislocation nucleation. J. Mech. Phys. Solids 55(3), 489–516 (2007)MathSciNetMATH
46.
Hills, D.A., Kelly, P.A., Dai, D.N., Korsunsky, A.M.: Solution of Crack Problems: The Distributed Dislocation Technique. Springer, Berlin (1996)MATH
47.
Nowell, D., Hills, D.A.: Open cracks at or near free edges. J. Strain Anal. 22, 177–185 (1987)
48.
Erdogan, F., Gupta, G.D.: On the numerical solution of singular integral equations. Q. Appl. Math. 29(4), 525–534 (1972)MathSciNetMATH
49.
Weertman, J.: Dislocation Based Fracture Mechanics. World Scientific, Singapore (1996)MATH
50.
Krenk, S.: On the use of the interpolation polynomial for solutions of singular integral equations. Q. Appl. Math. 32(4), 479–484 (1975)MathSciNetMATH
Metadaten
Titel
Surface Zener–Stroh crack model to slip band due to contact
verfasst von
Yumei Zhang
Lifeng Ma
Publikationsdatum
27.09.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 2/2020
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-019-01606-0

Weitere Artikel der Ausgabe 2/2020

Archive of Applied Mechanics 2/2020 Zur Ausgabe

Editorial

Thanks to our reviewers

Original

A receptance-based method for frequency assignment via coupling of subsystems

Original

Steady-state thermomechanical analysis of composite laminated plate with damage based on extended layerwise method

Original

Study on lateral stability of levitation modules for low- and medium-speed maglev trains

Original

Finite-form solution for anti-plane problem of nanoscale crack

Original

Two-dimensional elasticity solution for free vibration of simple-supported beams with arbitrarily and continuously varying thickness

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