Generalizing Ellipsoidal Growth
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Materials research (São Carlos. Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1516-14392019000300239 |
Resumo: | This paper generalizes previous work of Rios and Villa on spherical growth. The generalized equation applies to nucleation of ellipsoids according to an inhomogeneous Poisson point process. Microstructural evolution in three dimensions of nucleation and growth transformations of ellipsoids is simulated using the causal cone method. In the simulation, nuclei are located in space according to an inhomogeneous Poisson point process. The transformed regions grow with prolate and oblate ellipsoidal shapes. The ellipsoids have their corresponding axes parallel. The simulation and the exact analytical solution are in excellent agreement. Microstructures generated by the computer simulation are displayed. From these generated microstructures one can obtain the contiguity. In the contiguity against volume fraction plot, data from the sphere and all ellipsoids fall on the same curve. The contiguity curve for nucleation according to an inhomogeneous Poisson point process falls above the contiguity curve for nucleation according to a homogeneous Poisson point process. This behavior indicates that nucleation according to an inhomogeneous Poisson point process introduced a nucleus clustering effect. |
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Generalizing Ellipsoidal GrowthMicrostructureanalytical methodsphase transformationsrecrystallizationellipsoidal growthThis paper generalizes previous work of Rios and Villa on spherical growth. The generalized equation applies to nucleation of ellipsoids according to an inhomogeneous Poisson point process. Microstructural evolution in three dimensions of nucleation and growth transformations of ellipsoids is simulated using the causal cone method. In the simulation, nuclei are located in space according to an inhomogeneous Poisson point process. The transformed regions grow with prolate and oblate ellipsoidal shapes. The ellipsoids have their corresponding axes parallel. The simulation and the exact analytical solution are in excellent agreement. Microstructures generated by the computer simulation are displayed. From these generated microstructures one can obtain the contiguity. In the contiguity against volume fraction plot, data from the sphere and all ellipsoids fall on the same curve. The contiguity curve for nucleation according to an inhomogeneous Poisson point process falls above the contiguity curve for nucleation according to a homogeneous Poisson point process. This behavior indicates that nucleation according to an inhomogeneous Poisson point process introduced a nucleus clustering effect.ABM, ABC, ABPol2019-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1516-14392019000300239Materials Research v.22 n.3 2019reponame:Materials research (São Carlos. Online)instname:Universidade Federal de São Carlos (UFSCAR)instacron:ABM ABC ABPOL10.1590/1980-5373-mr-2019-0235info:eu-repo/semantics/openAccessSá,Gabriella Maria Silveira deLyrio,Mariana SizenandoAlves,André Luiz MoraesVentura,Harison da SilvaAssis,Weslley Luiz da SilvaVilla,ElenaRios,Paulo Rangeleng2019-06-11T00:00:00Zoai:scielo:S1516-14392019000300239Revistahttp://www.scielo.br/mrPUBhttps://old.scielo.br/oai/scielo-oai.phpdedz@power.ufscar.br1980-53731516-1439opendoar:2019-06-11T00:00Materials research (São Carlos. Online) - Universidade Federal de São Carlos (UFSCAR)false |
dc.title.none.fl_str_mv |
Generalizing Ellipsoidal Growth |
title |
Generalizing Ellipsoidal Growth |
spellingShingle |
Generalizing Ellipsoidal Growth Sá,Gabriella Maria Silveira de Microstructure analytical methods phase transformations recrystallization ellipsoidal growth |
title_short |
Generalizing Ellipsoidal Growth |
title_full |
Generalizing Ellipsoidal Growth |
title_fullStr |
Generalizing Ellipsoidal Growth |
title_full_unstemmed |
Generalizing Ellipsoidal Growth |
title_sort |
Generalizing Ellipsoidal Growth |
author |
Sá,Gabriella Maria Silveira de |
author_facet |
Sá,Gabriella Maria Silveira de Lyrio,Mariana Sizenando Alves,André Luiz Moraes Ventura,Harison da Silva Assis,Weslley Luiz da Silva Villa,Elena Rios,Paulo Rangel |
author_role |
author |
author2 |
Lyrio,Mariana Sizenando Alves,André Luiz Moraes Ventura,Harison da Silva Assis,Weslley Luiz da Silva Villa,Elena Rios,Paulo Rangel |
author2_role |
author author author author author author |
dc.contributor.author.fl_str_mv |
Sá,Gabriella Maria Silveira de Lyrio,Mariana Sizenando Alves,André Luiz Moraes Ventura,Harison da Silva Assis,Weslley Luiz da Silva Villa,Elena Rios,Paulo Rangel |
dc.subject.por.fl_str_mv |
Microstructure analytical methods phase transformations recrystallization ellipsoidal growth |
topic |
Microstructure analytical methods phase transformations recrystallization ellipsoidal growth |
description |
This paper generalizes previous work of Rios and Villa on spherical growth. The generalized equation applies to nucleation of ellipsoids according to an inhomogeneous Poisson point process. Microstructural evolution in three dimensions of nucleation and growth transformations of ellipsoids is simulated using the causal cone method. In the simulation, nuclei are located in space according to an inhomogeneous Poisson point process. The transformed regions grow with prolate and oblate ellipsoidal shapes. The ellipsoids have their corresponding axes parallel. The simulation and the exact analytical solution are in excellent agreement. Microstructures generated by the computer simulation are displayed. From these generated microstructures one can obtain the contiguity. In the contiguity against volume fraction plot, data from the sphere and all ellipsoids fall on the same curve. The contiguity curve for nucleation according to an inhomogeneous Poisson point process falls above the contiguity curve for nucleation according to a homogeneous Poisson point process. This behavior indicates that nucleation according to an inhomogeneous Poisson point process introduced a nucleus clustering effect. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-01-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1516-14392019000300239 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1516-14392019000300239 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1980-5373-mr-2019-0235 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
ABM, ABC, ABPol |
publisher.none.fl_str_mv |
ABM, ABC, ABPol |
dc.source.none.fl_str_mv |
Materials Research v.22 n.3 2019 reponame:Materials research (São Carlos. Online) instname:Universidade Federal de São Carlos (UFSCAR) instacron:ABM ABC ABPOL |
instname_str |
Universidade Federal de São Carlos (UFSCAR) |
instacron_str |
ABM ABC ABPOL |
institution |
ABM ABC ABPOL |
reponame_str |
Materials research (São Carlos. Online) |
collection |
Materials research (São Carlos. Online) |
repository.name.fl_str_mv |
Materials research (São Carlos. Online) - Universidade Federal de São Carlos (UFSCAR) |
repository.mail.fl_str_mv |
dedz@power.ufscar.br |
_version_ |
1754212674820898816 |