University of Illinois Urbana-Champaign

Correspondence between phase-field theory and sharp-interface theory for crystal growth

Fried, Eliot

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https://hdl.handle.net/2142/112524

Description

Title
Correspondence between phase-field theory and sharp-interface theory for crystal growth
Author(s)
Fried, Eliot
Issue Date
1996-04
Keyword(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.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 824
  • 1996-6011
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112524
Sponsor(s)/Grant Number(s)
National Science Foundation 96/04 DMS 92 06241 96/04; MSS 93 09082 96/04
Copyright and License Information
Copyright 1996 Board of Trustees of the University of Illinois

Owning Collections

Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
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.