# Article

 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 Year: 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 Stable URL: http://hdl.handle.net/10338.dmlcz/702875 .

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