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Modified mean field models of normal grain growth
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Physical Metallurgy.
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Physical Metallurgy.ORCID iD: 0000-0002-4521-6089
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Physical Metallurgy.
2008 (English)In: Acta Materialia, ISSN 1359-6454, E-ISSN 1873-2453, Vol. 56, no 18, 5188-5201 p.Article in journal (Refereed) Published
Abstract [en]

Models of normal grain growth can either start from a postulated kinetic law for individual grains and yield a distribution of grain sizes or they can start from a postulated distribution and the kinetic law may be derived. Both methods are studied and a whole family of distributions based on new kinetic laws are derived using the first method. Both methods have recently been applied using Onsager's extremum principle but it is now shown that more classical procedures are sufficient. Kinetic laws give an indication of what physical factors govern the growth or shrinkage of individual grains. A Rayleigh's distribution seems to indicate that large grains are surrounded by grains smaller than the critical size and small grains are surrounded by grains larger than the critical size. The effects of the new family of kinetic laws on the development of grain size distributions are studied by numerical simulations.

Place, publisher, year, edition, pages
2008. Vol. 56, no 18, 5188-5201 p.
Keyword [en]
Grain growth, Simulation, Thermodynamics, Onsager's principle, size distribution, 2 dimensions, state, law
Identifiers
URN: urn:nbn:se:kth:diva-17948DOI: 10.1016/j.actamat.2008.06.034ISI: 000260704100025Scopus ID: 2-s2.0-53049088002OAI: oai:DiVA.org:kth-17948DiVA: diva2:335993
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Simulation of Phase Transformations and coarsening: Computational tools for alloy development
Open this publication in new window or tab >>Simulation of Phase Transformations and coarsening: Computational tools for alloy development
2011 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The final properties of an alloy are highly interlaced with its microstructure. It is therefore essential to control the evolution of the microstructure of the material during the fabrication process. Nowadays, materials design involves an increasing part of computational design to complement the traditional experimental trial and error approach. Such simulations of the process can decrease the number of material prototypes and shorten the development time for new alloys.

In this thesis several microstructure models, aimed for process design, have been suggested. The ambition has been to develop physically based models that are capable to represent the evolution of hundreds of grain or particle sizes, where the models should be possible to run on a standard computer with simulation times less than one day. To achieve this goal, simplified approaches have been suggested, which are accurate enough for the growth rate of grains and particles. The microstructure models have all in common that size distributions of grains or particles are simulated with mean-field approaches. Several of the models also utilize composition and temperature dependent thermodynamic and kinetic properties continually throughout the simulations. These properties have been calculated with programming interfaces to Thermo-Calc and DICTRA together with appropriate thermodynamic and kinetic databases. The materials that have been considered in the present thesis are low alloyed steels, aluminium alloys and cemented carbides. The models are however generic in the sense that all materials can be handled if appropriate thermodynamic, kinetic and property databases exist for the alloy.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2011. iv, 40 p.
National Category
Materials Engineering
Identifiers
urn:nbn:se:kth:diva-31454 (URN)978-91-7415-891-5 (ISBN)
Public defence
2011-03-25, F3, Lindstedtsvägen 28, KTH, Stockholm, 13:00 (English)
Opponent
Supervisors
Note
QC 20110316Available from: 2011-03-16 Created: 2011-03-16 Last updated: 2011-03-16Bibliographically approved

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