A discrete nonlinear mass transfer equation with applications in solid-state sintering of ceramic materials

Hristopulos, DT; Leonidakis, L; Tsetsekou, A

dc.contributor.author	Hristopulos, DT	en
dc.contributor.author	Leonidakis, L	en
dc.contributor.author	Tsetsekou, A	en
dc.date.accessioned	2014-03-01T02:50:17Z
dc.date.available	2014-03-01T02:50:17Z
dc.date.issued	2006	en
dc.identifier.issn	14346028	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35035
dc.subject.other	Activation energy	en
dc.subject.other	Amorphization	en
dc.subject.other	Crystal microstructure	en
dc.subject.other	Discrete time control systems	en
dc.subject.other	Large scale systems	en
dc.subject.other	Mass transfer	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Sintering	en
dc.subject.other	Solid state physics	en
dc.subject.other	Discrete nonlinear mass transfer equation	en
dc.subject.other	Grain structures	en
dc.subject.other	Multiscale processes	en
dc.subject.other	Solid-state sintering	en
dc.subject.other	Ceramic materials	en
dc.title	A discrete nonlinear mass transfer equation with applications in solid-state sintering of ceramic materials	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1140/epjb/e2006-00034-0	en
heal.identifier.secondary	http://dx.doi.org/10.1140/epjb/e2006-00034-0	en
heal.publicationDate	2006	en
heal.abstract	The evolution of grain structures in materials is a complex and multiscale process that determines the material's final properties [1]. Understanding the dynamics of grain growth is a key factor for controlling this process. We propose a phenomenological approach, based on a nonlinear, discrete mass transfer equation for the evolution of an arbitrary initial grain size distribution. Transition rates for mass transfer across grains are assumed to follow the Arrhenius law, but the activation energy depends on the degree of amorphization of each grain. We argue that the magnitude of the activation energy controls the final (sintered) grain size distribution, and we verify this prediction by numerical simulation of mass transfer in a one-dimensional grain aggregate.	en
heal.journalName	European Physical Journal B	en
dc.identifier.doi	10.1140/epjb/e2006-00034-0	en
dc.identifier.volume	50	en
dc.identifier.issue	1-2	en
dc.identifier.spage	83	en
dc.identifier.epage	87	en