Počet záznamů: 1  

Generalization of the Lifshitz-Slyozov-Wagner coarsening theory to non-dilute multi-component systems

  1. 1. 0435178 - UFM-A 2015 RIV GB eng J - Článek v odborném periodiku
    Svoboda, Jiří - Fischer, F. D.
    Generalization of the Lifshitz-Slyozov-Wagner coarsening theory to non-dilute multi-component systems.
    Acta Materialia. Roč. 79, OCT (2014), s. 304-314. ISSN 1359-6454
    Grant CEP: GA ČR(CZ) GA14-24252S
    Institucionální podpora: RVO:68081723
    Klíčová slova: Coarsening * Ostwald ripening * Multicomponent * Theory and modelling * Non-zero volume fraction of precipitates
    Kód oboru RIV: BJ - Termodynamika
    Impakt faktor: 4.465, rok: 2014

    The coarsening of precipitates in a matrix with a non-zero volume fraction is treated by assuming that the exchange of matter between the precipitates occurs by diffusion in the matrix within finite zones surrounding the precipitates. The thermodynamic extremal principle is used for the derivation of evolution equations for the precipitate radii. Accordingly, non-steady-state and steady-state distribution functions are deduced, depending on the system parameter characterizing the finite diffusion zones. The distribution functions tend exactly to the established Lifshitz-Slyozov-Wagner distribution for a zero volume fraction of the precipitates. The steady-state distribution functions are expressed by means of distinct volume-fraction-dependent parameters, which are presented by analytical expressions and in diagrams. To treat non-steady-state systems, ensembles of up to 10(6) precipitates can easily be handled by standard computational methods.
    Trvalý link: http://hdl.handle.net/11104/0239060