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A random-walk approach to diffusion controlled growth II: A distribution function solution
KTH, Superseded Departments, Materials Science and Engineering.ORCID iD: 0000-0001-8797-4585
KTH, Superseded Departments, Materials Science and Engineering.ORCID iD: 0000-0002-4521-6089
2004 (English)In: Scripta Materialia, ISSN 1359-6462, E-ISSN 1872-8456, Vol. 51, no 2, 137-140 p.Article in journal (Refereed) Published
Abstract [en]

Earlier work on simulations of diffusion controlled transformations based on a random-walk technique is extended; a random-walk simulation of a transformation in a ternary system and a new method based on distribution functions are presented. As before, no special assumption regarding the state of the phase interface is required.

Place, publisher, year, edition, pages
2004. Vol. 51, no 2, 137-140 p.
Keyword [en]
Interface migration, Phase transformations, Random-walk, Simulation, Boundary conditions, Computer simulation, Differential equations, Diffusion, Normal distribution, Parameter estimation, Probability distributions, Problem solving
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-12691DOI: 10.1016/j.scriptamat.2004.03.038ISI: 000221577300011Scopus ID: 2-s2.0-2342580712OAI: oai:DiVA.org:kth-12691DiVA: diva2:318080
Note
QC 20100506Available from: 2010-05-06 Created: 2010-05-06 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Internal oxidation processing: New alloys and new simulation techniques
Open this publication in new window or tab >>Internal oxidation processing: New alloys and new simulation techniques
2004 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

Nitriding and oxidising treatments of alloys for toolingpurposes have been investigated both experimentally andtheoretically. Specimens prepared by a combination of differentprocessing steps are investigated by light-optical, scanningand transmission electron microscopy and hardness measurments.The bounds of carbon and nitrogen concentration profiles duringnitriding are obtained from simulations using the DICTRA code.As a result, a new processing route to produce oxide-dispersediron-base alloys with large volume fraction of carbides issuggested.

On the theoretical side the methods based on the random walktechnique have been investigated and developed further. The newmethods have been applied to study a vide range of phenomenae.g. internal oxidation, diffusion in inhomogeneous media,phase transformations and formation of porosity due to theKirkendall effect in welded joints. Probability distributionsare introduced to replace random number generators in order toincrease computational efficiency. A general method to simulatediffusional phase transformations in multicomponent systems isdeveloped and applied to ternary alloys.

 

Place, publisher, year, edition, pages
Stockholm: KTH, 2004. x, 33 p.
Keyword
Internal oxidation, nitriding, diffusion, simulation, random walk
National Category
Engineering and Technology
Identifiers
urn:nbn:se:kth:diva-3715 (URN)91-7283-706-3 (ISBN)
Public defence
2004-03-19, 00:00 (English)
Note
QC 20100506Available from: 2004-03-08 Created: 2004-03-08 Last updated: 2010-05-06Bibliographically approved

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Larsson, Henrik

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