| 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:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702875 |
| . |
