Elastic constants of bcc shape-memory binary alloys: Effect of the configurational ordering

The relationship between the elastic shear modulus C’=1/2(C11-C12) and the atomic order state in a shape-memory binary alloy AxB1−x above its martensitic transition temperature is analyzed. We first present a simple method to evaluate the elastic constants in binary alloys, assuming the atoms intera...

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Detalhes bibliográficos
Autores: Castán i Vidal, Maria Teresa, Planes Vila, Antoni
Formato: artículo
Estado:Versión publicada
Fecha de publicación:1988
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/9731
Acesso em linha:https://hdl.handle.net/2445/9731
Access Level:acceso abierto
Palavra-chave:Propietats mecàniques
Diagrames de fase
Aliatges binaris
Elasticitat
Mechanical properties
Phase diagrams
Binary systems (Metallurgy)
Elasticity
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spelling Elastic constants of bcc shape-memory binary alloys: Effect of the configurational orderingCastán i Vidal, Maria TeresaPlanes Vila, AntoniPropietats mecàniquesDiagrames de faseAliatges binarisElasticitatMechanical propertiesPhase diagramsBinary systems (Metallurgy)ElasticityThe relationship between the elastic shear modulus C’=1/2(C11-C12) and the atomic order state in a shape-memory binary alloy AxB1−x above its martensitic transition temperature is analyzed. We first present a simple method to evaluate the elastic constants in binary alloys, assuming the atoms interact via a two-body Morse potential. For CuZn and AgZn alloys, the potential parameters corresponding to the different A-A, B-B, and A-B pairs are determined from experimental data of the elastic constant C’ for different alloy compositions. We next calculate C’ at 0 K as a function of the ordering state. To do this, we use atomic configurations obtained with a Monte Carlo simulation of the Ising model for a bcc binary alloy, at each temperature Ti. We obtain a linear relationship between C’ and the short-range-order parameter η. We also show that the deviations from the linear behavior observed when C’ is represented against the square of the long-rang-order parameter 〈S〉 come mainly from the critical behavior of the system near the order-disorder temperature Tc.The American Physical Society1988info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/9731Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevB.38.7959Physical Review B, 1988, vol. 38, núm. 12, p. 7959-7965.http://dx.doi.org/10.1103/PhysRevB.38.7959(c) The American Physical Society, 1988info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/97312026-05-27T06:46:51Z
dc.title.none.fl_str_mv Elastic constants of bcc shape-memory binary alloys: Effect of the configurational ordering
title Elastic constants of bcc shape-memory binary alloys: Effect of the configurational ordering
spellingShingle Elastic constants of bcc shape-memory binary alloys: Effect of the configurational ordering
Castán i Vidal, Maria Teresa
Propietats mecàniques
Diagrames de fase
Aliatges binaris
Elasticitat
Mechanical properties
Phase diagrams
Binary systems (Metallurgy)
Elasticity
title_short Elastic constants of bcc shape-memory binary alloys: Effect of the configurational ordering
title_full Elastic constants of bcc shape-memory binary alloys: Effect of the configurational ordering
title_fullStr Elastic constants of bcc shape-memory binary alloys: Effect of the configurational ordering
title_full_unstemmed Elastic constants of bcc shape-memory binary alloys: Effect of the configurational ordering
title_sort Elastic constants of bcc shape-memory binary alloys: Effect of the configurational ordering
dc.creator.none.fl_str_mv Castán i Vidal, Maria Teresa
Planes Vila, Antoni
author Castán i Vidal, Maria Teresa
author_facet Castán i Vidal, Maria Teresa
Planes Vila, Antoni
author_role author
author2 Planes Vila, Antoni
author2_role author
dc.subject.none.fl_str_mv Propietats mecàniques
Diagrames de fase
Aliatges binaris
Elasticitat
Mechanical properties
Phase diagrams
Binary systems (Metallurgy)
Elasticity
topic Propietats mecàniques
Diagrames de fase
Aliatges binaris
Elasticitat
Mechanical properties
Phase diagrams
Binary systems (Metallurgy)
Elasticity
description The relationship between the elastic shear modulus C’=1/2(C11-C12) and the atomic order state in a shape-memory binary alloy AxB1−x above its martensitic transition temperature is analyzed. We first present a simple method to evaluate the elastic constants in binary alloys, assuming the atoms interact via a two-body Morse potential. For CuZn and AgZn alloys, the potential parameters corresponding to the different A-A, B-B, and A-B pairs are determined from experimental data of the elastic constant C’ for different alloy compositions. We next calculate C’ at 0 K as a function of the ordering state. To do this, we use atomic configurations obtained with a Monte Carlo simulation of the Ising model for a bcc binary alloy, at each temperature Ti. We obtain a linear relationship between C’ and the short-range-order parameter η. We also show that the deviations from the linear behavior observed when C’ is represented against the square of the long-rang-order parameter 〈S〉 come mainly from the critical behavior of the system near the order-disorder temperature Tc.
publishDate 1988
dc.date.none.fl_str_mv 1988
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/9731
url https://hdl.handle.net/2445/9731
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevB.38.7959
Physical Review B, 1988, vol. 38, núm. 12, p. 7959-7965.
http://dx.doi.org/10.1103/PhysRevB.38.7959
dc.rights.none.fl_str_mv (c) The American Physical Society, 1988
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) The American Physical Society, 1988
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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