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Iterative approaches describing atomic diffusion in finite single‐ and two‐phase systems

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dc.contributorVirginia Tech. Department of Materials Engineeringen
dc.contributor.authorHouska, Charles R.en
dc.contributor.authorUnnam, Jalaiahen
dc.contributor.departmentMaterials Science and Engineering (MSE)en
dc.date.accessed2015-04-24en
dc.date.accessioned2015-05-21T19:47:19Zen
dc.date.available2015-05-21T19:47:19Zen
dc.date.issued1976en
dc.description.abstractIterative solutions are given for planar one‐dimensional atomic diffusion in finite single‐ and two‐phase systems. They are usable for any continuous variation of the interdiffusion coefficient D (C) within each phase, and need not be fitted to special functions such as a power series or an exponential function. Modified integral functions similar to one first proposed by Boltzmann are used along with a conservation criterion to locate the interface position ξ. Computer time for the iterative solutions is about two to three magnitudes shorter than finite‐difference (F‐D) calculations because of the rapid convergence of the integral equations. The accuracy of these approximate forms is considered. Excellent agreement was obtained between F‐D calculations and the iterative approach for semi‐infinite single‐phase systems. Good agreement is also found for two‐phase systems; however, the accuracy varies with the solubility gap size C βα−Cαβ. The best results are obtained for gaps larger than 0.7 which includes most eutectic systems. Calculations of composition profiles which are based upon the maximum solid solubilities for the Cu‐Ag system are within 1% of the F‐D calculations.en
dc.description.sponsorshipNational Science Foundation (U.S.)en
dc.format.extent12 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHouska, C. R., Unnam, J. (1976).Iterative approaches describing atomic diffusion in finite single‐and two‐phase systems. Journal of Applied Physics, 47(10), 4325-4335. doi: 10.1063/1.322434en
dc.identifier.doihttps://doi.org/10.1063/1.322434en
dc.identifier.issn0021-8979en
dc.identifier.urihttp://hdl.handle.net/10919/52399en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jap/47/10/10.1063/1.322434en
dc.language.isoen_USen
dc.publisherAmerican Institute of Physicsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectDiffusionen
dc.subjectSolubilityen
dc.subjectBoltzmann equationsen
dc.subjectChemical interdiffusionen
dc.subjectComputer simulationen
dc.titleIterative approaches describing atomic diffusion in finite single‐ and two‐phase systemsen
dc.title.serialJournal of Applied Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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