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dc.contributor.authorRandjelović, Branislav M.
dc.contributor.authorNikolić, Zoran S.
dc.date.accessioned2022-11-02T09:24:13Z
dc.date.available2022-11-02T09:24:13Z
dc.date.issued2020
dc.identifier.citationТР 32012 „Интелигентни Кабинет за Физикалну Медицину – ИКАФИМ“en_US
dc.identifier.citationИИИ 43007 „Истраживање климатских промена и њиховог утицаја на животну средину - праћење утицаја, адаптација и ублажавање”en_US
dc.identifier.urihttps://platon.pr.ac.rs/handle/123456789/840
dc.description.abstractIn this paper we will define a new mathematical model for predicting an evolution of an equivalent intergranular μ-capacitance during ceramic sintering. The contact between two adjacent grains will be defined as a structure that forms a μ-capacitor recognized as an intergranular μ-capacitor unit. It will be assumed that its μ-capacitance changes as the neck grows by diffusion. Diffusion mechanisms responsible for transport matter from the grain boundary to the neck are the volume diffusion and grain boundary diffusion. Such model does not need special geometric assumptions because the microstructural development can be simulated by a set of simple local rules and overall neck growth law which can be arbitrarily chosen. To find the total capacitance we will identify μ-capacitors in series and in parallel. More complicated connections of μ-capacitors will be transformed into simpler structure using delta to star transformation and/or star to delta transformation. In this way some μ-capacitors will be step-by-step replaced by their equivalent μ-capacitors. The developed model can be applied for the prediction of an evolution of the intergranular capacitance during ceramic sintering of BaTiO3 system with spherical particle distributions.en_US
dc.language.isoen_USen_US
dc.publisherSpringer Chamen_US
dc.rightsCC0 1.0 Универзална*
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.titleA Mathematical Model for Simulation of Intergranular μ-Capacitance as a Function of Neck Growth in Ceramic Sinteringen_US
dc.title.alternativeIn: Daras N., Rassias T. (eds) Computational Mathematics and Variational Analysisen_US
dc.typepoglavlje-u-monografijien_US
dc.description.versionpublishedVersionen_US
dc.identifier.doihttps://doi.org/10.1007/978-3-030-44625-3_22
dc.citation.volume159
dc.citation.spage403
dc.citation.epage420
dc.type.mCategoryM13en_US
dc.type.mCategoryclosedAccessen_US
dc.type.mCategoryM13en_US
dc.type.mCategoryclosedAccessen_US


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CC0 1.0 Универзална
Except where otherwise noted, this item's license is described as CC0 1.0 Универзална