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A unified treatment of evolving interfaces accounting for small deformations and atomic transport: grain-boundaries, phase transitions, epitaxy

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Title: A unified treatment of evolving interfaces accounting for small deformations and atomic transport: grain-boundaries, phase transitions, epitaxy
Author(s): Fried, Eliot; Gurtin, Morton E.
Subject(s): continuum mechanics
Abstract: This review presents a unified treatment of several topics at the intersection of continuum mechanics and materials science; the thrust concerns processes involving evolving interfaces, focusing on grain-boundaries, solid-vapor interfaces (with emphasis on epitaxy), and coherent phase-transitions. Central to our discussion is the interaction of deformation, atomic transport, and accretion within a dissipative, dynamical framework, but as our interest is crystalline materials, we restrict our attention to small deformations. To avoid geometrical complications associated with surfaces in R^3, we work in two space-dimensions when discussing interfaces, but in R^3 when discussing the theory in bulk.
Issue Date: 2003-05
Publisher: Department of Theoretical and Applied Mechanics (UIUC)
Series/Report: TAM Reports 1023
Genre: Technical ReportArticle
Type: Text
Language: English
URI: http://hdl.handle.net/2142/289
ISSN: 0073-5264
Publication Status: published or submitted for publication
Peer Reviewed: is peer reviewed
Date Available in IDEALS: 2007-03-08
Is Version Of: Published as: Eliot Fried and Morton E. Gurtin. A unified treatment of evolving interfaces accounting for small deformations and atomic transport with emphasis on grain-boundaries and epitaxy. Advances in Applied Mechanics, Vol. 40, 2004, pp.1-177. Copyright 2004 Elsevier.
 

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  • Theoretical and Applied Mechanics (TAM) Technical Reports
    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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