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Title:Correspondence between phase-field theory and sharp-interface theory for crystal growth
Author(s):Fried, Eliot
Subject(s):Phase-field Theory
Sharp-interface Theory
Crystal Growth
Abstract:A matched asymptotic analysis is used to show that, under certain constitutive hypotheses and a particular scaling, a recently developed phase-field theory corresponds to a sharp-interface theory for crystal growth that accounts for orientation dependence in the crystalline surface energy density as well as orientation and surface normal velocity dependence in the crystalline surface mobility.
Issue Date:1996-04
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 824
Genre:Technical Report
Sponsor:National Science Foundation 96/04 DMS 92 06241 96/04; MSS 93 09082 96/04
Rights Information:Copyright 1996 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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