University of Illinois Urbana-Champaign

Nonequilibrium theory of epitaxial growth that accounts for surface stress and surface diffusion

Fried, Eliot; Gurtin, Morton E.

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https://hdl.handle.net/2142/112688

Description

Title
Nonequilibrium theory of epitaxial growth that accounts for surface stress and surface diffusion
Author(s)
  • Fried, Eliot
  • Gurtin, Morton E.
Issue Date
2002-01
Keyword(s)
  • Nonequilibrium Theory Of Epitaxial Growth
  • Surface Stress
  • Surface Diffusion
Abstract
We develop a general dynamical theory for the epitaxial growth of an elastic film , a theory that accounts for both stress and diffusion within the epitaxial surface. Our approach relies on recent ideas concerning configurational forces. In addition to an equation that expresses the balance of classical Newtonian forces, our theory gives rise to equations for the epitaxial surface that impose the balance of atoms for each species and a normal configurational force balance. The latter balance can be viewed as a generalization, to a dynamical context involving dissipation, of a condition that would arise in equilibrium by considering variations of the total free-energy with respect to the configuration of the epitaxial surface. It is the counterpart of similar conditions that arise in theories for dislocation, crack, and interface propagation. A key and somewhat surprising result of our theory is that, for sufficiently small or large values of the interfacial stretch, a convex dependence of the surface free- energy density on the surface stretch may be destabilizing.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 996
  • 2002-6004
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112688
Copyright and License Information
Copyright 2002 Board of Trustees of the University of Illinois

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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.