A new thermodynamic model for solid metals under elastic deformations

Autores
Bertoldi, Dalía Surena; Ochoa, Pablo Daniel
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present a theoretical model of the free Helmholtz energy (F) for solid metals that incorporates three contributions: the elastic part through a local strain description, the vibrational energy within a quasi-harmonic Einstein model with volume-dependent cohesive energy, and the electronic contribution in the free electron gas setting. To get F, we introduce discrete approximations of the Helmholtz energy defined in cubic lattices and show their convergence to F by finite element methods. For homogeneous deformations, the obtained model is applied to derive an equation of state (EOS) which shows a very good agreement with experimental data. Moreover, compared to other known theoretical EOSs, the present model is highly stable under different estimations of its parameters.
Fil: Bertoldi, Dalía Surena. Universidad Nacional de Cuyo; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ochoa, Pablo Daniel. Universidad Nacional de Cuyo; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
ELASTIC DEFORMATIONS
EQUATION OF STATE
SOLID METALS
THERMODYNAMIC MODEL
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/175672

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network_name_str CONICET Digital (CONICET)
spelling A new thermodynamic model for solid metals under elastic deformationsBertoldi, Dalía SurenaOchoa, Pablo DanielELASTIC DEFORMATIONSEQUATION OF STATESOLID METALSTHERMODYNAMIC MODELhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present a theoretical model of the free Helmholtz energy (F) for solid metals that incorporates three contributions: the elastic part through a local strain description, the vibrational energy within a quasi-harmonic Einstein model with volume-dependent cohesive energy, and the electronic contribution in the free electron gas setting. To get F, we introduce discrete approximations of the Helmholtz energy defined in cubic lattices and show their convergence to F by finite element methods. For homogeneous deformations, the obtained model is applied to derive an equation of state (EOS) which shows a very good agreement with experimental data. Moreover, compared to other known theoretical EOSs, the present model is highly stable under different estimations of its parameters.Fil: Bertoldi, Dalía Surena. Universidad Nacional de Cuyo; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Ochoa, Pablo Daniel. Universidad Nacional de Cuyo; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaSpringer2019-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/175672Bertoldi, Dalía Surena; Ochoa, Pablo Daniel; A new thermodynamic model for solid metals under elastic deformations; Springer; Continuum Mechanics And Thermodynamics; 31; 5; 3-2019; 1425-14370935-1175CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00161-019-00759-1info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00161-019-00759-1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:13:33Zoai:ri.conicet.gov.ar:11336/175672instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:13:34.08CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A new thermodynamic model for solid metals under elastic deformations
title A new thermodynamic model for solid metals under elastic deformations
spellingShingle A new thermodynamic model for solid metals under elastic deformations
Bertoldi, Dalía Surena
ELASTIC DEFORMATIONS
EQUATION OF STATE
SOLID METALS
THERMODYNAMIC MODEL
title_short A new thermodynamic model for solid metals under elastic deformations
title_full A new thermodynamic model for solid metals under elastic deformations
title_fullStr A new thermodynamic model for solid metals under elastic deformations
title_full_unstemmed A new thermodynamic model for solid metals under elastic deformations
title_sort A new thermodynamic model for solid metals under elastic deformations
dc.creator.none.fl_str_mv Bertoldi, Dalía Surena
Ochoa, Pablo Daniel
author Bertoldi, Dalía Surena
author_facet Bertoldi, Dalía Surena
Ochoa, Pablo Daniel
author_role author
author2 Ochoa, Pablo Daniel
author2_role author
dc.subject.none.fl_str_mv ELASTIC DEFORMATIONS
EQUATION OF STATE
SOLID METALS
THERMODYNAMIC MODEL
topic ELASTIC DEFORMATIONS
EQUATION OF STATE
SOLID METALS
THERMODYNAMIC MODEL
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We present a theoretical model of the free Helmholtz energy (F) for solid metals that incorporates three contributions: the elastic part through a local strain description, the vibrational energy within a quasi-harmonic Einstein model with volume-dependent cohesive energy, and the electronic contribution in the free electron gas setting. To get F, we introduce discrete approximations of the Helmholtz energy defined in cubic lattices and show their convergence to F by finite element methods. For homogeneous deformations, the obtained model is applied to derive an equation of state (EOS) which shows a very good agreement with experimental data. Moreover, compared to other known theoretical EOSs, the present model is highly stable under different estimations of its parameters.
Fil: Bertoldi, Dalía Surena. Universidad Nacional de Cuyo; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ochoa, Pablo Daniel. Universidad Nacional de Cuyo; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We present a theoretical model of the free Helmholtz energy (F) for solid metals that incorporates three contributions: the elastic part through a local strain description, the vibrational energy within a quasi-harmonic Einstein model with volume-dependent cohesive energy, and the electronic contribution in the free electron gas setting. To get F, we introduce discrete approximations of the Helmholtz energy defined in cubic lattices and show their convergence to F by finite element methods. For homogeneous deformations, the obtained model is applied to derive an equation of state (EOS) which shows a very good agreement with experimental data. Moreover, compared to other known theoretical EOSs, the present model is highly stable under different estimations of its parameters.
publishDate 2019
dc.date.none.fl_str_mv 2019-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/175672
Bertoldi, Dalía Surena; Ochoa, Pablo Daniel; A new thermodynamic model for solid metals under elastic deformations; Springer; Continuum Mechanics And Thermodynamics; 31; 5; 3-2019; 1425-1437
0935-1175
CONICET Digital
CONICET
url http://hdl.handle.net/11336/175672
identifier_str_mv Bertoldi, Dalía Surena; Ochoa, Pablo Daniel; A new thermodynamic model for solid metals under elastic deformations; Springer; Continuum Mechanics And Thermodynamics; 31; 5; 3-2019; 1425-1437
0935-1175
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s00161-019-00759-1
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00161-019-00759-1
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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