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Title Misfit dislocations arranged in a hexagonal networks in anisotropic elasticity. Related displacement field and stored elastic energy
Creator/Author Bouzaher, A. (Domaine Univ., Saint Martin d`Heres (France). Inst. National Polytechnique de Grenoble) ; Bonnet, R. (Univ. of California, Berkeley, CA (United States). Lawrence Berkeley Lab.)
Publication Date1993 May 01
OSTI IdentifierOSTI ID: 6222430
Other Number(s)ISSN0956-7151; CODEN: AMATEB
Resource TypeJournal Article
Resource RelationActa Metallurgica et Materialia ; Vol/Issue: 41:5
Subject360103 -- Metals & Alloys-- Mechanical Properties ;360203 -- Ceramics, Cermets, & Refractories-- Mechanical Properties ;360102 -- Metals & Alloys-- Structure & Phase Studies ;360202 -- Ceramics, Cermets, & Refractories-- Structure & Phase Studies; ALUMINIUM ALLOYS-- CRYSTAL STRUCTURE;ALUMINIUM ALLOYS-- ELASTICITY;COBALT SILICIDES-- CRYSTAL STRUCTURE;COBALT SILICIDES-- ELASTICITY;COPPER ALLOYS-- CRYSTAL STRUCTURE;COPPER ALLOYS-- ELASTICITY;SILICON ALLOYS-- CRYSTAL STRUCTURE;SILICON ALLOYS-- ELASTICITY; ANISOTROPY;CRYSTALS;DISLOCATIONS
Related SubjectALLOYS;COBALT COMPOUNDS;CRYSTAL DEFECTS;CRYSTAL STRUCTURE;LINE DEFECTS;MECHANICAL PROPERTIES;SILICIDES;SILICON COMPOUNDS;TENSILE PROPERTIES;TRANSITION ELEMENT COMPOUNDS
Description/Abstract A method presented in a previous paper to determine any biperiodic elastic displacement field (Bonnet, 1981) is developed analytically for a hexagonal network of misfit dislocations lying along a plane separating two different anisotropic crystals.^The network is possibly non-regular.^The three components of the displacement field are expressed, in both the crystals, as double Fourier series.^Each harmonic term depends on coefficients calculated from the roots of a sextic polynomial whose coefficients generalize those established by Eshelby et al.^(1953).^For the particular case of a regular hexagonal network, analytical expressions are obtained for the stored elastic energy E[sub s] when (1) the Burgers vectors are parallel to the interface and (2) each crystal has an elastic symmetry axis perpendicular to the interface.^Applications to low angle twist boundaries parallel to (111) planes in f.c.c. materials (Al,Cu) and the heterotwin (111)Si[parallel](111)CoSi[sub 2] interface show in fact small effects of the anisotropy of these crystals on the values of E[sub s].
Country of PublicationUnited States
LanguageEnglish
FormatPages: 1595-1603
System Entry Date2001 May 13

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