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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v8.i3.30
pages 259-266

Generalized Micro/Macro Model of Crystallization and Its Numerical Realization

Bohdan Mochnacki
Czestochowa University of Technology, Dabrowskiego 69, 42-201 Czestochowa, Higher School of Labour Safety Management, Bankowa 8, 40-007 Katowice, Poland
Romuald Szopa
Czestochowa University of Technology, 42-200 Czestochowa, Dabrowskiego 73, Poland

Краткое описание

In this paper considerations concerning the mathematical micro/macro model of pure metals solidification are presented. A generalized approach close to the Mehl-Johnson-Avrami-Kolmogoroff theory is applied. The differential equation leading to the well-known linear and exponential models of crystallization is generalized by the introduction of an additional parameter n. In this way the power-type model is obtained (the linear and exponential models correspond to n = 0 and n = 1). On a stage of numerical simulation the course of nucleation and nuclei growth are simulated using the procedure based on the registration of successive grain family growth. Obtained in this way, the local capacities of internal heat sources are taken into account on a stage of solution corresponding to macroscale. A macro heat transfer is described by the Fourier-type equation. Finally, examples of numerical simulations and the results concerning the influence of model parameters on a course of solidification are shown.


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