A continuum description of partially coherent interfaces
type: Item
instance of: scholarly article
title: A continuum description of partially coherent interfaces
zbMATH Open document ID: 0829.73008
DOI: 10.1007/BF01175768
author: Yanyan Li
published in: Continuum Mechanics and Thermodynamics
publication date: 1995-05-11T00:00:00Z
review text: A continuum model for a two-phase crystal-crystal system is constructed which takes into account the interfacial structure. Following \textit{J. W. Cahn} and \textit{F. C. Larché} [J. Res. Natl. Bur. Standards 89, 467-500 (1984)], such a structure is parameterized by an ``interfacial structure tensor'' which is identically zero when the interface is coherent and different from zero in presence of misfit dislocations which break the local continuity of the lattice. A particular feature of the present paper is that it assumes a nonconvex interfacial energy density (with a sharp minimum associated with coherence) and combines it with a convex bulk energy density. The authors study a model system consisting of an elastic film on a rigid substrate and find a minimizing sequence of coherent and incoherent regions on the interface which accomodate both the misfit and the tendency of the interface to remain coherent. Such a sequence only appears after the system has reached a certain critical size.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 82D25
zbMATH DE Number: 754014
zbMATH Keywords: two-phase crystal-crystal system
zbMATH Keywords: nonconvex interfacial energy density
zbMATH Keywords: convex bulk energy density
zbMATH Keywords: elastic film
zbMATH Keywords: rigid substrate
zbMATH Keywords: minimizing sequence of coherent and incoherent regions
reviewed by: D. Jou
MaRDI profile type: Publication
cites work: Q3278168
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description: scientific article; zbMATH DE number 754014