Application of cluster dynamics modeling to the precipitation in aluminum alloys
-
P. Guyot
, J. Lepinoux and C. Sigli
Abstract
The cluster dynamics method is used to model at the atomic scale the kinetics of first order phase transformations. Clusters are embryos of the growing phase. Their formation kinetics from the solid solution are obtained by solving a set of master differential equations. This set is the continuity equation of the cluster size distribution function and is based on inter-cluster solute exchanges. These exchanges, absorption and emission of solute atoms, are controlled by the solute diffusivities and the cluster free energies. The model is applied here to the precipitation of Al3(Zr, Sc) dispersoids with the L12 structure in Al–rich Zr–Sc solid solutions. Several characteristic features are obtained and discussed: 1) In the ternary alloy, the fast (Sc) diffusing species always controls the nucleation, in contrast to classical thermodynamical descriptions. 2) A Zr–Sc thermodynamic coupling induces heterogeneous nucleation on Zr atoms. 3) A segregation on the dispersoids outer shell of the slow diffusing solute (Zr) occurs during the coarsening stage, slowing down their coarsening rate. Finally, some extensions and prospects of the method are considered.
References
[1] K.Binder, D.Stauffer: Advances in Physics25 (1976) 343–396.10.1080/00018737600101402Search in Google Scholar
[2] J.W.Schmelzer: Nucleation theory and applications, Wiley VCH Verlag, KGaA, Weinheim (2005) 39–71.10.1002/3527604790.ch3Search in Google Scholar
[3] L.Laé: Ph.D. Thesis, INP Grenoble (2004).Search in Google Scholar
[4] Y.I.Frenkel: Kinetics theory of liquids, Oxford University Press (1946).Search in Google Scholar
[5] A.Perrini, G.Jacucci, G.Martin: Surf. Sci.144 (1984) 53–66.10.1016/0039-6028(84)90703-9Search in Google Scholar
[6] J.Lepinoux: Phil. Mag.85 (2005) 3585–3615.10.1080/14786430500228648Search in Google Scholar
[7] S.R.Nishitani, A.Seko, I.Tanaka, H.Adachi, E.F.Fujita: Solid-Solid Phase Transformations in inorganic Materials TMS Proceedings 2 (2005) 669–674.Search in Google Scholar
[8] A.Cerezo, S.Hirosawa, G.Sha, G.D.Smith: Solid-Solid Phase Transformations in inorganic Materials TMS Proceedings 1 (2005) 251–261.Search in Google Scholar
[9] L.Kovaric, M.K.Miller, S.A.Court, M.J.Mills: Solid-Solid Phase Transformations in inorganic Materials TMS Proceedings 1 (2005) 301–308.Search in Google Scholar
[10] L.Laé, P.Guyot, C.Sigli: 9th International Conference on Aluminium Alloys, Brisbane, Proceedings (2004) 281–286.Search in Google Scholar
[11] L.Laé, P.Guyot: Solid-Solid Phase Transformations in inorganic Materials TMS Proceedings 1 (2005) 327–335.Search in Google Scholar
[12] E.Clouet: Ph.D. Thesis, Ecole Centrale, Paris 2004.Search in Google Scholar
[13] B.Forbord, W.Lefebvre, F.Danoix, H.Hallem, K.Marthinsen: Scripta Mater.51 (2004) 333–337.10.1016/j.scriptamat.2004.03.033Search in Google Scholar
[14] A.Tolley, V.Radmilovic, U.Dahmen: European Microscopy Conference, Antwerpen (2004).Search in Google Scholar
[15] E.Clouet, L.Laé, T.Épicier, W.Lefebvre, M.Nastar, A.Deschamps: Nature Materials5 (2006) 482–488.10.1038/nmat1652Search in Google Scholar PubMed
[16] J.Lepinoux: Phil. Mag.86 (2006) 5053–5082.10.1080/14786430600767743Search in Google Scholar
[17] J.Lepinoux: Acta Mater.49 (2009) 4183–4190.Search 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