Startseite The interplay between grain boundaries and disclinations in condensed matter physics
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

The interplay between grain boundaries and disclinations in condensed matter physics

  • Maurice Kleman
Veröffentlicht/Copyright: 11. Juni 2013
Veröffentlichen auch Sie bei De Gruyter Brill
Informationen für Autor*innen
International Journal of Materials Research
Aus der Zeitschrift International Journal of Materials Research Band 100 Heft 10

Abstract

The concept of grain boundary, much studied for its relationship with dislocation motion in plastic deformation, is here developed and associated with that of disclination. After defining a disclination in terms of a Volterra process, we investigate the nature of the interplay between both, with application to two cases: i) in polycrystals the triple junctions result from the stress free merging of disclinations bordering the incident grain boundaries; the plastic properties of nanocrystals, which cannot be attributed directly to dislocations, are related to these disclinations; ii) in lamellar liquid crystalline phases grain boundaries are often the place not only of dislocations, but also of focal conic domains, a stunning disclination system described by G. Friedel one hundred years ago.

Keywords: Grain boundary; Disclination; Focal conic domain; Polynanocrystals
* Correspondence address, Dr. Maurice Kleman Institut de Physique du Globe de Paris. 4, place Jussieu - 75252 Paris cédex 05 Tel.: 33(0)1 4427 2188 Fax: 33(0)1 4427 2830 E-mail:

Dedicated to the late Prof. Charles Crussard (1916–2008)

References

[1] C.Crussard: Rev. Met.41 (1944) 118, 139.10.1051/metal/194441040111Suche in Google Scholar

[2] F.C.Frank: Discuss. Faraday Soc.25 (1958) 19.10.1039/df9582500019Suche in Google Scholar

[3] G.Friedel: Ann. Phys. (Paris)18 (1922) 273.10.1051/anphys/192209180273Suche in Google Scholar

[4] F.C.Frank, in: Pittsburgh Conference, Office of Naval Research, 2 (1949) 542.Suche in Google Scholar

[5] M.Kleman, J.Friedel: Rev. Mod. Phys.80 (2008) 61.10.1103/RevModPhys.80.61Suche in Google Scholar

[6] J.Friedel, M.Kleman: J. de Physique30 (1969) C4:43.10.1051/jphyscol:1969412Suche in Google Scholar

[7] F.C.Frank, in: Report on the Symposium on the Plastic Deformation of Crystalline Solids, Carnegie Institute of Technology, Pittsburgh, (1950) 150.Suche in Google Scholar

[8] X.Huang, N.Hansen, N.Tsuji: Science312 (2006) 249.10.1126/science.1124268Suche in Google Scholar PubMed

[9] K.S.Kumar, H.Van Swygenhoven, S.Suresh: Acta Mater.51 (2003) 5743.10.1016/j.actamat.2003.08.032Suche in Google Scholar

[10] H.Van Swygenhoven, P.M.Derlet, A.G.Froseth: Acta Mater.54 (2006) 1975.10.1016/j.actamat.2005.12.026Suche in Google Scholar

[11] I.A.Ovid'ko: Rev. Adv. Mater. Sci.10 (2005) 89.Suche in Google Scholar

[12] S.Van Petegem, S.Brandstetter, H.Van Swygenhoven, J.-L.Martin: Appl. Phys. Lett.89 (2006) 073102.10.1063/1.2336726Suche in Google Scholar

[13] P.G.de Gennes, J.Prost: The Physics of Liquid Crystals, 2nd edn, Clarendon Press, Oxford (1993).Suche in Google Scholar

[14] C.Blanc, N.Zuodar, I.Lelidis, M.Kleman, J.-L.Martin: Phys. Rev. E69 (2004) 011705.10.1103/PhysRevE.69.011705Suche in Google Scholar PubMed

[15] C.Meyer, S.Asnacios, M.Kleman: Eur. Phys. J. E6 (2001) 245.10.1007/s101890170007Suche in Google Scholar

[16] G.Friedel, F.Grandjean: Bull. Soc. Fr. Mineral.33 (1910) 409.Suche in Google Scholar

[17] M.Kleman, O.D.Lavrentovich, Yu.A.Nastishin, in: F.R.N.Nabarro, J.P.Hirth (Eds.), Dislocations in Solids, Vol. 12, Elsevier, Amsterdam (2004) 147.10.1016/S1572-4859(05)80005-1Suche in Google Scholar

[18] D.Hilbert, S.Cohn-Vossen: Geometry and the Imagination, Chelsea Pub. Cy, New York (1964).Suche in Google Scholar

[19] R.Bidaux, N.Boccara, G.Sarma, L.de Sèze, P.G.de Gennes, O.Parodi: J. Physique34 (1973) 661.Suche in Google Scholar

[20] C.Blanc, M.Kleman: Phys. Rev. E62 (2000) 6739.10.1103/PhysRevE.62.6739Suche in Google Scholar PubMed

[21] M.Kleman, O.D.Lavrentovich: Eur. Phys. J. E2 (2000) 47.10.1007/s101890050039Suche in Google Scholar

[22] M.Kleman, O.D.Lavrentovich: Phys. Rev. E61 (2000) 1574.10.1103/PhysRevE.61.1574Suche in Google Scholar

[23] N.Clark, private communication (2005).Suche in Google Scholar

[24] C.Blanc, M.Kleman: Eur. Phys. J. B10 (1999) 53.10.1007/s100510050829Suche in Google Scholar

[25] J.Friedel, private communication (2008).Suche in Google Scholar

[26] S.R.Renn, T.C.Lubensky: Phys. Rev. A38 (1988) 2132.10.1103/PhysRevA.38.2132Suche in Google Scholar PubMed

[27] M.Schlenker, M.Kleman: J. Appl. Phys.43 (1972) 3184.10.1063/1.1661683Suche in Google Scholar

Received: 2008-9-16
Accepted: 2009-7-25
Published Online: 2013-06-11
Published in Print: 2009-10-01

© 2009, Carl Hanser Verlag, München

Artikel in diesem Heft

  1. Contents
  2. Contents
  3. Introduction
  4. Introduction
  5. G. Petzow: Laudation for Peter Paul Schepp
  6. Dr. Schepp's retirement after 20 years of service was celebrated
  7. Preface to Feature Articles
  8. “SURFACE and INTERFACE ENGINEERING”
  9. Feature
  10. Thermodynamics of reactions and phase transformations at interfaces and surfaces
  11. Oxidation of palladium: from single crystal surfaces towards nanoparticles
  12. On the high-temperature oxidation of MCrAlY coatings
  13. Conducting polymers for corrosion protection: a review
  14. Fundamental and applied aspects of laser surface engineering
  15. Low-temperature gaseous surface hardening of stainless steel: the current status
  16. Foreword
  17. Foreword
  18. Editorial
  19. The scientific work of Charles Crussard (1916–2008)
  20. Review
  21. Charles Crussard's early contributions: Recrystallization in situ and a Grain Boundary study with J. Friedel and B. Cullity
  22. Magnetohydrodynamics applied to materials processing
  23. Charles Crussard's contribution to sheet metal forming and participation in IDDRG
  24. Glide of dislocations in non-octahedral planes of fcc metals: a review
  25. The deformation stage II of face-centered cubic crystals: Fifty years of investigations
  26. Nucleation and growth during primary recrystallization of certain metals and alloys with a face-centered cubic structure: Formation of the cube texture
  27. Basic
  28. Andrade creep revisited
  29. Application of cluster dynamics modeling to the precipitation in aluminum alloys
  30. On the effect of pre-recovery on subsequent recrystallization
  31. The interplay between grain boundaries and disclinations in condensed matter physics
  32. Plasticity of nanocrystalline materials: a critical viewpoint
  33. Thermoelectric power applied to metallurgy: principle and recent applications
  34. Notifications
  35. People
https://doi.org/10.3139/146.110196
Schlagwörter für diesen Artikel
Grain boundary; Disclination; Focal conic domain; Polynanocrystals

Artikel in diesem Heft

  1. Contents
  2. Contents
  3. Introduction
  4. Introduction
  5. G. Petzow: Laudation for Peter Paul Schepp
  6. Dr. Schepp's retirement after 20 years of service was celebrated
  7. Preface to Feature Articles
  8. “SURFACE and INTERFACE ENGINEERING”
  9. Feature
  10. Thermodynamics of reactions and phase transformations at interfaces and surfaces
  11. Oxidation of palladium: from single crystal surfaces towards nanoparticles
  12. On the high-temperature oxidation of MCrAlY coatings
  13. Conducting polymers for corrosion protection: a review
  14. Fundamental and applied aspects of laser surface engineering
  15. Low-temperature gaseous surface hardening of stainless steel: the current status
  16. Foreword
  17. Foreword
  18. Editorial
  19. The scientific work of Charles Crussard (1916–2008)
  20. Review
  21. Charles Crussard's early contributions: Recrystallization in situ and a Grain Boundary study with J. Friedel and B. Cullity
  22. Magnetohydrodynamics applied to materials processing
  23. Charles Crussard's contribution to sheet metal forming and participation in IDDRG
  24. Glide of dislocations in non-octahedral planes of fcc metals: a review
  25. The deformation stage II of face-centered cubic crystals: Fifty years of investigations
  26. Nucleation and growth during primary recrystallization of certain metals and alloys with a face-centered cubic structure: Formation of the cube texture
  27. Basic
  28. Andrade creep revisited
  29. Application of cluster dynamics modeling to the precipitation in aluminum alloys
  30. On the effect of pre-recovery on subsequent recrystallization
  31. The interplay between grain boundaries and disclinations in condensed matter physics
  32. Plasticity of nanocrystalline materials: a critical viewpoint
  33. Thermoelectric power applied to metallurgy: principle and recent applications
  34. Notifications
  35. People
Jetzt anmelden und 20% sparen
Institutioneller Zugang
Wie funktioniert Authentifizierung?
Haben Sie eine Idee, wie wir unsere Website verbessern können?
Bitte schreiben Sie uns.
© 2025 De Gruyter Brill
Heruntergeladen am 3.10.2025 von https://www.degruyterbrill.com/document/doi/10.3139/146.110196/html
Button zum nach oben scrollen