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Title:Nonequilibrium theory of epitaxial growth that accounts for surface stress and surface diffusion
Author(s):Fried, Eliot; Gurtin, Morton E.
Subject(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.
Issue Date:2002-01
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 996
Genre:Technical Report
Rights Information:Copyright 2002 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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