Skip to main content
Erschienen in: Tribology Letters 3/2012

01.09.2012 | Original Paper

Modeling of Phonon Wind Shielding Effects on Moving Dislocation Arrays

verfasst von: A. M’ndange-Pfupfu, L. D. Marks

Erschienen in: Tribology Letters | Ausgabe 3/2012

Einloggen

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

search-config
loading …

Abstract

An analytic geometric model of phonon–dislocation interaction is employed to simulate the shielding of phonon wind drag in moving dislocation arrays. In the model, we use assumptions that overestimate the shielding effect to calculate an upper bound for the deviation of drag on arrays from drag on single dislocations. For the system of a one-dimensional array of gliding dislocations in copper, we calculate that 6–25 % of the phonon drag is shielded by neighbor dislocations in the array. The model can be extended to other materials and dislocation distributions, but we show that for typical FCC crystals, calculating drag forces using a single dislocation is still a valid approximation.

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 Deshpande, V.S., Needleman, A., Van der Giessen, E.: Discrete dislocation plasticity analysis of static friction. Acta Mater. 52, 3135–3149 (2004)CrossRef Deshpande, V.S., Needleman, A., Van der Giessen, E.: Discrete dislocation plasticity analysis of static friction. Acta Mater. 52, 3135–3149 (2004)CrossRef
2.
Zurück zum Zitat Rosenfield, A.R.: A dislocation theory approach to wear. Wear 72, 97–103 (1981)CrossRef Rosenfield, A.R.: A dislocation theory approach to wear. Wear 72, 97–103 (1981)CrossRef
3.
Zurück zum Zitat Gutkin, M.Y., Ovid’ko, I.A., Skiba, N.V.: Crossover from grain boundary sliding to rotational deformation in nanocrystalline materials. Acta Mater. 51, 4059–4071 (2003)CrossRef Gutkin, M.Y., Ovid’ko, I.A., Skiba, N.V.: Crossover from grain boundary sliding to rotational deformation in nanocrystalline materials. Acta Mater. 51, 4059–4071 (2003)CrossRef
4.
Zurück zum Zitat Merkle, A., Marks, L.D.: A predictive analytical friction model from basic theories of interfaces, contacts and dislocations. Tribol. Lett. 26, 73–84 (2007)CrossRef Merkle, A., Marks, L.D.: A predictive analytical friction model from basic theories of interfaces, contacts and dislocations. Tribol. Lett. 26, 73–84 (2007)CrossRef
5.
Zurück zum Zitat M’ndange-Pfupfu, A., Marks, L.D.: A dislocation-based analytical model for the nanoscale processes of shear and plowing friction. Tribol. Lett. 39, 163–167 (2010)CrossRef M’ndange-Pfupfu, A., Marks, L.D.: A dislocation-based analytical model for the nanoscale processes of shear and plowing friction. Tribol. Lett. 39, 163–167 (2010)CrossRef
6.
Zurück zum Zitat Read, W.T., Shockley, W.: Dislocation models of crystal grain boundaries. Phys. Rev. 78, 275–289 (1950)CrossRef Read, W.T., Shockley, W.: Dislocation models of crystal grain boundaries. Phys. Rev. 78, 275–289 (1950)CrossRef
7.
Zurück zum Zitat Shan, Z., Stach, E.A., Wiezorek, J.M.K., Knapp, J.A., Follstaedt, D.M., Mao, S.X.: Grain boundary-mediated plasticity in nanocrystalline nickel. Science 305, 654–657 (2004)CrossRef Shan, Z., Stach, E.A., Wiezorek, J.M.K., Knapp, J.A., Follstaedt, D.M., Mao, S.X.: Grain boundary-mediated plasticity in nanocrystalline nickel. Science 305, 654–657 (2004)CrossRef
8.
Zurück zum Zitat Ke, M., Hackney, S.A., Milligan, W.W., Aifantis, E.C.: Observation and measurement of grain rotation and plastic strain in nanostructured metal thin films. Nanostruct. Mater. 5, 689–697 (1995)CrossRef Ke, M., Hackney, S.A., Milligan, W.W., Aifantis, E.C.: Observation and measurement of grain rotation and plastic strain in nanostructured metal thin films. Nanostruct. Mater. 5, 689–697 (1995)CrossRef
9.
Zurück zum Zitat Ohmura, T., Minor, A.M., Stach, E.A., Morris, J.W.: Dislocation–grain boundary interactions in martensitic steel observed through in situ nanoindentation in a transmission electron microscope. J. Mater. Res. 19, 3626–3632 (2004)CrossRef Ohmura, T., Minor, A.M., Stach, E.A., Morris, J.W.: Dislocation–grain boundary interactions in martensitic steel observed through in situ nanoindentation in a transmission electron microscope. J. Mater. Res. 19, 3626–3632 (2004)CrossRef
10.
Zurück zum Zitat Van Swygenhoven, H., Derlet, P.M.: Grain-boundary sliding in nanocrystalline fcc metals. Phys. Rev. B 64, 224105 (2001)CrossRef Van Swygenhoven, H., Derlet, P.M.: Grain-boundary sliding in nanocrystalline fcc metals. Phys. Rev. B 64, 224105 (2001)CrossRef
11.
Zurück zum Zitat Majumdar, B.S., Burns, S.J.: A Griffith crack shielded by a dislocation pile-up. Int. J. Fract. 21, 229–240 (1983)CrossRef Majumdar, B.S., Burns, S.J.: A Griffith crack shielded by a dislocation pile-up. Int. J. Fract. 21, 229–240 (1983)CrossRef
12.
Zurück zum Zitat Pande, C.S., Masumura, R.A., Armstrong, R.W.: Pile-up based Hall–Petch relation for nanoscale materials. Nanostruct. Mater. 2, 323–331 (1993)CrossRef Pande, C.S., Masumura, R.A., Armstrong, R.W.: Pile-up based Hall–Petch relation for nanoscale materials. Nanostruct. Mater. 2, 323–331 (1993)CrossRef
13.
Zurück zum Zitat Van Swygenhoven, H.: Grain boundaries and dislocations. Science 296, 66–67 (2002)CrossRef Van Swygenhoven, H.: Grain boundaries and dislocations. Science 296, 66–67 (2002)CrossRef
14.
Zurück zum Zitat Klemens, P.G.: The scattering of low-frequency lattice waves by static imperfections. Proc. Phys. Soc. Lond Sect. A 68, 1113 (1955)CrossRef Klemens, P.G.: The scattering of low-frequency lattice waves by static imperfections. Proc. Phys. Soc. Lond Sect. A 68, 1113 (1955)CrossRef
15.
Zurück zum Zitat Al’shitz, V.A., Indenbom, V.L.: Dynamic dragging of dislocations. Sov. Phys. Uspekhi 18, 1 (1975)CrossRef Al’shitz, V.A., Indenbom, V.L.: Dynamic dragging of dislocations. Sov. Phys. Uspekhi 18, 1 (1975)CrossRef
16.
Zurück zum Zitat Carruthers, P.: Scattering of phonons by elastic strain fields and the thermal resistance of dislocations. Phys. Rev. 114, 995–1001 (1959)CrossRef Carruthers, P.: Scattering of phonons by elastic strain fields and the thermal resistance of dislocations. Phys. Rev. 114, 995–1001 (1959)CrossRef
17.
Zurück zum Zitat Kogure, Y., Hiki, Y.: Scattering of lattice waves by static strain fields in crystals. J. Phys. Soc. Jpn. 36, 1597 (1974)CrossRef Kogure, Y., Hiki, Y.: Scattering of lattice waves by static strain fields in crystals. J. Phys. Soc. Jpn. 36, 1597 (1974)CrossRef
18.
Zurück zum Zitat Rui, W., Shaofeng, W., Xiaozhi, W.: Edge dislocation core structures in FCC metals determined from ab initio calculations combined with the improved Peierls–Nabarro equation. Phys. Scr. 83, 045604 (2011)CrossRef Rui, W., Shaofeng, W., Xiaozhi, W.: Edge dislocation core structures in FCC metals determined from ab initio calculations combined with the improved Peierls–Nabarro equation. Phys. Scr. 83, 045604 (2011)CrossRef
19.
Zurück zum Zitat Stephan, H., Ramesh, K.T., Baron, G., Schwerdtfeger, W.K.: Nanomaterials: mechanics and mechanisms. Springer, Berlin (2009) Stephan, H., Ramesh, K.T., Baron, G., Schwerdtfeger, W.K.: Nanomaterials: mechanics and mechanisms. Springer, Berlin (2009)
20.
Zurück zum Zitat Hikata, A., Deputat, J., Elbaum, C.: Dislocation interactions with phonons in sodium chloride in the temperature range 70–300°K. Phys. Rev. B 6, 4008–4013 (1972)CrossRef Hikata, A., Deputat, J., Elbaum, C.: Dislocation interactions with phonons in sodium chloride in the temperature range 70–300°K. Phys. Rev. B 6, 4008–4013 (1972)CrossRef
21.
Zurück zum Zitat Ohashi, K.: Scattering of lattice waves by dislocations. J. Phys. Soc. Jpn. 24, 437 (1968)CrossRef Ohashi, K.: Scattering of lattice waves by dislocations. J. Phys. Soc. Jpn. 24, 437 (1968)CrossRef
Metadaten
Titel
Modeling of Phonon Wind Shielding Effects on Moving Dislocation Arrays
verfasst von
A. M’ndange-Pfupfu
L. D. Marks
Publikationsdatum
01.09.2012
Verlag
Springer US
Erschienen in
Tribology Letters / Ausgabe 3/2012
Print ISSN: 1023-8883
Elektronische ISSN: 1573-2711
DOI
https://doi.org/10.1007/s11249-012-9998-4

Weitere Artikel der Ausgabe 3/2012

Tribology Letters 3/2012 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.