Institutional Repository [SANDBOX]
Technical University of Crete
EN  |  EL

Search

Browse

My Space

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

A. Tsetsekou

Full record


URI: http://purl.tuc.gr/dl/dias/3A4D8B95-A0AD-4636-BD5A-E885D9D084F5
Year 2005
Type of Item Peer-Reviewed Journal Publication
License
Details
Bibliographic Citation D.T. Hristopulos, L. Leonidakis ,A. Tsetsekou, " A discrete nonlinear mass transfer equation with applications in solid-state sintering of ceramic materials ", Eur. Phys.l J. B - Cond. Ma. Ph., vol. 50 ,no. 1-2, pp. 83-87,2005.doi :10.1140/epjb/e2006-00034-0 https://doi.org/10.1140/epjb/e2006-00034-0
Appears in Collections

Summary

THe evolution of grain structures in materials is a complex and multiscale process that determines the material's final properties. 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.

Services

Statistics