University of Illinois Urbana-Champaign

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

Fried, Eliot; Gurtin, Morton E.

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https://hdl.handle.net/2142/289

Description

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.
Issue Date
2003-05
Keyword(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.
Publisher
Department of Theoretical and Applied Mechanics (UIUC)
Series/Report Name or Number
TAM Reports 1023
ISSN
0073-5264
Type of Resource
text
Language
en
Permalink
http://hdl.handle.net/2142/289

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.