Modification of the Kolmogorov-Johnson-Mehl-Avrami rate equation for non-isothermal experiments and its analytical solution

Avrami's model describes the kinetics of phase transformation under the assumption of spatially random nucleation. In this paper we provide a quasi-exact analytical solution of Avrami's model when the transformation takes place under continuous heating. This solution has been obtained with...

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Detalles Bibliográficos
Autores: Farjas Silva, Jordi, Roura Grabulosa, Pere
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2006
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/15967
Acceso en línea:http://hdl.handle.net/10256/15967
Access Level:acceso abierto
Palabra clave:Cristal·lització
Crystallization
Equacions diferencials
Differential equations
Calorimetria
Calorimetry
Anàlisi tèrmica
Thermal analysis
Transicions de fase (Física estadística)
Phase transformations (Statistical physics)
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repository_id_str
spelling Modification of the Kolmogorov-Johnson-Mehl-Avrami rate equation for non-isothermal experiments and its analytical solutionFarjas Silva, JordiRoura Grabulosa, PereCristal·litzacióCrystallizationEquacions diferencialsDifferential equationsCalorimetriaCalorimetryAnàlisi tèrmicaThermal analysisTransicions de fase (Física estadística)Phase transformations (Statistical physics)Avrami's model describes the kinetics of phase transformation under the assumption of spatially random nucleation. In this paper we provide a quasi-exact analytical solution of Avrami's model when the transformation takes place under continuous heating. This solution has been obtained with different activation energies for both nucleation and growth rates. The relation obtained is also a solution of the so-called Kolmogorov-Johnson-Mehl-Avrami transformation rate equation. The corresponding non-isothermal Kolmogorov-Johnson-Mehl-Avrami transformation rate equation differs from the one obtained under isothermal conditions only by a constant parameter, which depends only on the ratio between nucleation and growth rate activation energies. Consequently, a minor correction allows us to extend the Kolmogorov-Johnson-Mehl-Avrami transformation rate equation to continuous heating conditionsElsevier2006info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionpeer-reviewedapplication/pdfhttp://hdl.handle.net/10256/15967http://hdl.handle.net/10256/15967© Acta Materialia, 2006, vol. 54, núm. 20, p. 5573-5579Articles publicats (D-F)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.actamat.2006.07.037info:eu-repo/semantics/altIdentifier/issn/1359-6454Tots els drets reservatsinfo:eu-repo/semantics/openAccessoai:recercat.cat:10256/159672026-05-29T05:05:01Z
dc.title.none.fl_str_mv Modification of the Kolmogorov-Johnson-Mehl-Avrami rate equation for non-isothermal experiments and its analytical solution
title Modification of the Kolmogorov-Johnson-Mehl-Avrami rate equation for non-isothermal experiments and its analytical solution
spellingShingle Modification of the Kolmogorov-Johnson-Mehl-Avrami rate equation for non-isothermal experiments and its analytical solution
Farjas Silva, Jordi
Cristal·lització
Crystallization
Equacions diferencials
Differential equations
Calorimetria
Calorimetry
Anàlisi tèrmica
Thermal analysis
Transicions de fase (Física estadística)
Phase transformations (Statistical physics)
title_short Modification of the Kolmogorov-Johnson-Mehl-Avrami rate equation for non-isothermal experiments and its analytical solution
title_full Modification of the Kolmogorov-Johnson-Mehl-Avrami rate equation for non-isothermal experiments and its analytical solution
title_fullStr Modification of the Kolmogorov-Johnson-Mehl-Avrami rate equation for non-isothermal experiments and its analytical solution
title_full_unstemmed Modification of the Kolmogorov-Johnson-Mehl-Avrami rate equation for non-isothermal experiments and its analytical solution
title_sort Modification of the Kolmogorov-Johnson-Mehl-Avrami rate equation for non-isothermal experiments and its analytical solution
dc.creator.none.fl_str_mv Farjas Silva, Jordi
Roura Grabulosa, Pere
author Farjas Silva, Jordi
author_facet Farjas Silva, Jordi
Roura Grabulosa, Pere
author_role author
author2 Roura Grabulosa, Pere
author2_role author
dc.subject.none.fl_str_mv Cristal·lització
Crystallization
Equacions diferencials
Differential equations
Calorimetria
Calorimetry
Anàlisi tèrmica
Thermal analysis
Transicions de fase (Física estadística)
Phase transformations (Statistical physics)
topic Cristal·lització
Crystallization
Equacions diferencials
Differential equations
Calorimetria
Calorimetry
Anàlisi tèrmica
Thermal analysis
Transicions de fase (Física estadística)
Phase transformations (Statistical physics)
description Avrami's model describes the kinetics of phase transformation under the assumption of spatially random nucleation. In this paper we provide a quasi-exact analytical solution of Avrami's model when the transformation takes place under continuous heating. This solution has been obtained with different activation energies for both nucleation and growth rates. The relation obtained is also a solution of the so-called Kolmogorov-Johnson-Mehl-Avrami transformation rate equation. The corresponding non-isothermal Kolmogorov-Johnson-Mehl-Avrami transformation rate equation differs from the one obtained under isothermal conditions only by a constant parameter, which depends only on the ratio between nucleation and growth rate activation energies. Consequently, a minor correction allows us to extend the Kolmogorov-Johnson-Mehl-Avrami transformation rate equation to continuous heating conditions
publishDate 2006
dc.date.none.fl_str_mv 2006
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
peer-reviewed
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10256/15967
http://hdl.handle.net/10256/15967
url http://hdl.handle.net/10256/15967
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.actamat.2006.07.037
info:eu-repo/semantics/altIdentifier/issn/1359-6454
dc.rights.none.fl_str_mv Tots els drets reservats
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Tots els drets reservats
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv © Acta Materialia, 2006, vol. 54, núm. 20, p. 5573-5579
Articles publicats (D-F)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812455

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