Modelling of multicomponent diffusive phase transformation in solids

Vala, Jiří. "Modelling of multicomponent diffusive phase transformation in solids." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2008. 207-219. <http://eudml.org/doc/271311>.

@inProceedings{Vala2008,
abstract = {Physical analysis of phase transformation of materials consisting from several (both substitutional and interstitial) components, coming from the Onsager extremal thermodynamic principle, leads, from the mathematical point of view, to a system of partial differential equations of evolution type, including certain integral term, with substantial differences in particular phases ($\alpha $, $\gamma $) and in moving interface of finite thickness ($\beta $), in whose center the ideal liquid material behaviour can be detected. The numerical simulation of this process in MATLAB is able to explain some phenomena (e.g. the interface velocity as a function of temperature) better than known simplified models assuming the sharp interface and additional boundary and transfer conditions.},
author = {Vala, Jiří},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {phase transformation; interface migration; bulk diffusion; Onsager extremal thermodynamic principle},
location = {Prague},
pages = {207-219},
publisher = {Institute of Mathematics AS CR},
title = {Modelling of multicomponent diffusive phase transformation in solids},
url = {http://eudml.org/doc/271311},
year = {2008},
}

TY - CLSWK
AU - Vala, Jiří
TI - Modelling of multicomponent diffusive phase transformation in solids
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2008
CY - Prague
PB - Institute of Mathematics AS CR
SP - 207
EP - 219
AB - Physical analysis of phase transformation of materials consisting from several (both substitutional and interstitial) components, coming from the Onsager extremal thermodynamic principle, leads, from the mathematical point of view, to a system of partial differential equations of evolution type, including certain integral term, with substantial differences in particular phases ($\alpha $, $\gamma $) and in moving interface of finite thickness ($\beta $), in whose center the ideal liquid material behaviour can be detected. The numerical simulation of this process in MATLAB is able to explain some phenomena (e.g. the interface velocity as a function of temperature) better than known simplified models assuming the sharp interface and additional boundary and transfer conditions.
KW - phase transformation; interface migration; bulk diffusion; Onsager extremal thermodynamic principle
UR - http://eudml.org/doc/271311
ER -