The interplay between grain boundaries and disclinations in condensed matter physics
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.
References
[1] C.Crussard: Rev. Met.41 (1944) 118, 139.10.1051/metal/194441040111Search in Google Scholar
[2] F.C.Frank: Discuss. Faraday Soc.25 (1958) 19.10.1039/df9582500019Search in Google Scholar
[3] G.Friedel: Ann. Phys. (Paris)18 (1922) 273.10.1051/anphys/192209180273Search in Google Scholar
[4] F.C.Frank, in: Pittsburgh Conference, Office of Naval Research, 2 (1949) 542.Search in Google Scholar
[5] M.Kleman, J.Friedel: Rev. Mod. Phys.80 (2008) 61.10.1103/RevModPhys.80.61Search in Google Scholar
[6] J.Friedel, M.Kleman: J. de Physique30 (1969) C4:43.10.1051/jphyscol:1969412Search 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.Search in Google Scholar
[8] X.Huang, N.Hansen, N.Tsuji: Science312 (2006) 249.10.1126/science.1124268Search in Google Scholar PubMed
[9] K.S.Kumar, H.Van Swygenhoven, S.Suresh: Acta Mater.51 (2003) 5743.10.1016/j.actamat.2003.08.032Search in Google Scholar
[10] H.Van Swygenhoven, P.M.Derlet, A.G.Froseth: Acta Mater.54 (2006) 1975.10.1016/j.actamat.2005.12.026Search in Google Scholar
[11] I.A.Ovid'ko: Rev. Adv. Mater. Sci.10 (2005) 89.Search in Google Scholar
[12] S.Van Petegem, S.Brandstetter, H.Van Swygenhoven, J.-L.Martin: Appl. Phys. Lett.89 (2006) 073102.10.1063/1.2336726Search in Google Scholar
[13] P.G.de Gennes, J.Prost: The Physics of Liquid Crystals, 2nd edn, Clarendon Press, Oxford (1993).Search in Google Scholar
[14] C.Blanc, N.Zuodar, I.Lelidis, M.Kleman, J.-L.Martin: Phys. Rev. E69 (2004) 011705.10.1103/PhysRevE.69.011705Search in Google Scholar PubMed
[15] C.Meyer, S.Asnacios, M.Kleman: Eur. Phys. J. E6 (2001) 245.10.1007/s101890170007Search in Google Scholar
[16] G.Friedel, F.Grandjean: Bull. Soc. Fr. Mineral.33 (1910) 409.Search 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)80005-1Search in Google Scholar
[18] D.Hilbert, S.Cohn-Vossen: Geometry and the Imagination, Chelsea Pub. Cy, New York (1964).Search in Google Scholar
[19] R.Bidaux, N.Boccara, G.Sarma, L.de Sèze, P.G.de Gennes, O.Parodi: J. Physique34 (1973) 661.Search in Google Scholar
[20] C.Blanc, M.Kleman: Phys. Rev. E62 (2000) 6739.10.1103/PhysRevE.62.6739Search in Google Scholar PubMed
[21] M.Kleman, O.D.Lavrentovich: Eur. Phys. J. E2 (2000) 47.10.1007/s101890050039Search in Google Scholar
[22] M.Kleman, O.D.Lavrentovich: Phys. Rev. E61 (2000) 1574.10.1103/PhysRevE.61.1574Search in Google Scholar
[23] N.Clark, private communication (2005).Search in Google Scholar
[24] C.Blanc, M.Kleman: Eur. Phys. J. B10 (1999) 53.10.1007/s100510050829Search in Google Scholar
[25] J.Friedel, private communication (2008).Search in Google Scholar
[26] S.R.Renn, T.C.Lubensky: Phys. Rev. A38 (1988) 2132.10.1103/PhysRevA.38.2132Search in Google Scholar PubMed
[27] M.Schlenker, M.Kleman: J. Appl. Phys.43 (1972) 3184.10.1063/1.1661683Search in Google Scholar
© 2009, Carl Hanser Verlag, München
Articles in the same Issue
- Contents
- Contents
- Introduction
- Introduction
- G. Petzow: Laudation for Peter Paul Schepp
- Dr. Schepp's retirement after 20 years of service was celebrated
- Preface to Feature Articles
- “SURFACE and INTERFACE ENGINEERING”
- Feature
- Thermodynamics of reactions and phase transformations at interfaces and surfaces
- Oxidation of palladium: from single crystal surfaces towards nanoparticles
- On the high-temperature oxidation of MCrAlY coatings
- Conducting polymers for corrosion protection: a review
- Fundamental and applied aspects of laser surface engineering
- Low-temperature gaseous surface hardening of stainless steel: the current status
- Foreword
- Foreword
- Editorial
- The scientific work of Charles Crussard (1916–2008)
- Review
- Charles Crussard's early contributions: Recrystallization in situ and a Grain Boundary study with J. Friedel and B. Cullity
- Magnetohydrodynamics applied to materials processing
- Charles Crussard's contribution to sheet metal forming and participation in IDDRG
- Glide of dislocations in non-octahedral planes of fcc metals: a review
- The deformation stage II of face-centered cubic crystals: Fifty years of investigations
- Nucleation and growth during primary recrystallization of certain metals and alloys with a face-centered cubic structure: Formation of the cube texture
- Basic
- Andrade creep revisited
- Application of cluster dynamics modeling to the precipitation in aluminum alloys
- On the effect of pre-recovery on subsequent recrystallization
- The interplay between grain boundaries and disclinations in condensed matter physics
- Plasticity of nanocrystalline materials: a critical viewpoint
- Thermoelectric power applied to metallurgy: principle and recent applications
- Notifications
- People
Articles in the same Issue
- Contents
- Contents
- Introduction
- Introduction
- G. Petzow: Laudation for Peter Paul Schepp
- Dr. Schepp's retirement after 20 years of service was celebrated
- Preface to Feature Articles
- “SURFACE and INTERFACE ENGINEERING”
- Feature
- Thermodynamics of reactions and phase transformations at interfaces and surfaces
- Oxidation of palladium: from single crystal surfaces towards nanoparticles
- On the high-temperature oxidation of MCrAlY coatings
- Conducting polymers for corrosion protection: a review
- Fundamental and applied aspects of laser surface engineering
- Low-temperature gaseous surface hardening of stainless steel: the current status
- Foreword
- Foreword
- Editorial
- The scientific work of Charles Crussard (1916–2008)
- Review
- Charles Crussard's early contributions: Recrystallization in situ and a Grain Boundary study with J. Friedel and B. Cullity
- Magnetohydrodynamics applied to materials processing
- Charles Crussard's contribution to sheet metal forming and participation in IDDRG
- Glide of dislocations in non-octahedral planes of fcc metals: a review
- The deformation stage II of face-centered cubic crystals: Fifty years of investigations
- Nucleation and growth during primary recrystallization of certain metals and alloys with a face-centered cubic structure: Formation of the cube texture
- Basic
- Andrade creep revisited
- Application of cluster dynamics modeling to the precipitation in aluminum alloys
- On the effect of pre-recovery on subsequent recrystallization
- The interplay between grain boundaries and disclinations in condensed matter physics
- Plasticity of nanocrystalline materials: a critical viewpoint
- Thermoelectric power applied to metallurgy: principle and recent applications
- Notifications
- People