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Title: Modelling of multicomponent diffusive phase transformation in solids (English)
Author: Vala, Jiří
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 1-6, 2008
Issue: 2008
Pages: 207-219
Category: math
Summary: 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. ()
Keyword: phase transformation
Keyword: interface migration
Keyword: bulk diffusion
Keyword: Onsager extremal thermodynamic principle
MSC: 82B24
MSC: 82B26
MSC: 82B35
MSC: 82D20
idZBL: Zbl 1202.82032
Date available: 2015-09-08T11:37:56Z
Last updated: 2015-12-04
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