{"data":{"id":"10.6084/m9.figshare.8292782.v1","type":"dois","attributes":{"doi":"10.6084/m9.figshare.8292782.v1","prefix":"10.6084","suffix":"m9.figshare.8292782.v1","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Sá, Gabriella Maria Silveira De","nameType":"Personal","givenName":"Gabriella Maria Silveira De","familyName":"Sá","affiliation":[],"nameIdentifiers":[]},{"name":"Lyrio, Mariana Sizenando","nameType":"Personal","givenName":"Mariana Sizenando","familyName":"Lyrio","affiliation":[],"nameIdentifiers":[]},{"name":"Alves, André Luiz Moraes","nameType":"Personal","givenName":"André Luiz Moraes","familyName":"Alves","affiliation":[],"nameIdentifiers":[]},{"name":"Harison Da Silva Ventura","affiliation":[],"nameIdentifiers":[]},{"name":"Weslley Luiz Da Silva Assis","affiliation":[],"nameIdentifiers":[]},{"name":"Villa, Elena","nameType":"Personal","givenName":"Elena","familyName":"Villa","affiliation":[],"nameIdentifiers":[]},{"name":"Rios, Paulo Rangel","nameType":"Personal","givenName":"Paulo Rangel","familyName":"Rios","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"Generalizing Ellipsoidal Growth"}],"publisher":"SciELO journals","container":{},"publicationYear":2019,"subjects":[{"subject":"90499 Chemical Engineering not elsewhere classified","subjectScheme":"FOR"},{"subject":"FOS: Chemical engineering","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"FOS: Chemical engineering","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"91207 Metals and Alloy Materials","subjectScheme":"FOR"},{"subject":"FOS: Materials engineering","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"FOS: Materials engineering","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"91299 Materials Engineering not elsewhere classified","subjectScheme":"FOR"}],"contributors":[],"dates":[{"date":"2019-06-19","dateType":"Created"},{"date":"2019-06-19","dateType":"Updated"},{"date":"2019","dateType":"Issued"}],"language":null,"types":{"ris":"DATA","bibtex":"misc","citeproc":"dataset","schemaOrg":"Dataset","resourceType":"Dataset","resourceTypeGeneral":"Dataset"},"relatedIdentifiers":[{"relationType":"IsSupplementTo","relatedIdentifier":"10.1590/1980-5373-mr-2019-0235","relatedIdentifierType":"DOI"},{"relationType":"IsIdenticalTo","relatedIdentifier":"10.6084/m9.figshare.8292782","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":["1923105 Bytes"],"formats":[],"version":null,"rightsList":[{"rights":"Creative Commons Attribution 4.0 International","rightsUri":"https://creativecommons.org/licenses/by/4.0/legalcode","schemeUri":"https://spdx.org/licenses/","rightsIdentifier":"cc-by-4.0","rightsIdentifierScheme":"SPDX"}],"descriptions":[{"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.","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"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