Modelling of Diffusive and Massive Phase Transformation

作者: Jiří Vala

DOI: 10.1007/978-1-4020-6975-8_5

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摘要: Diffusion in multi-component alloys can be characterized (a) by the vacancy mechanism for substitutional components, (b) existence of sources and sinks vacancies, (c) motion atoms interstitial components. The description diffusive massive phase transformation a system is based on principle maximum dissipation rate Onsager; finite thickness interface between both phases respected. A new computational model (its one-dimensional, general non-stationary version presented here) covers open to involve natural way. mathematical analysis results an initial-value problem partial differential equations evolution with certain non-local integral term; unknowns are mole fractions particular components (and some additional variables case (b)). numerical construction approximate solutions comes from method lines difference other techniques, namely integration formulae spectral linear operators. original software code supported MATLAB partially MAPLE.

参考文章(19)
Vladimir A Marchenko, Evgueni Ya Khruslov, Homogenization of Partial Differential Equations ,(2005)
Jirì Svoboda, Jirì Vala, Franz Dieter Fischer, Thermodynamic extremal principle and its application to Dufour and Soret effects and plasticity Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali. ,vol. 86, ,(2008) , 10.1478/C1S0801022
S. R. de Groot, P. Mazur, Sangil Choi, Non-equilibrium thermodynamics, ,(1962)
Lars Onsager, Reciprocal Relations in Irreversible Processes. II. Physical Review. ,vol. 38, pp. 2265- 2279 ,(1931) , 10.1103/PHYSREV.38.2265
Lars Onsager, Theories and problems of liquid diffusion. Annals of the New York Academy of Sciences. ,vol. 46, pp. 241- 265 ,(1945) , 10.1111/J.1749-6632.1945.TB36170.X
J. Odqvist, B. Sundman, J. Ågren, A general method for calculating deviation from local equilibrium at phase interfaces Acta Materialia. ,vol. 51, pp. 1035- 1043 ,(2003) , 10.1016/S1359-6454(02)00507-4
J Svoboda, E Gamsjäger, F.D Fischer, P Fratzl, Application of the thermodynamic extremal principle to the diffusional phase transformations Acta Materialia. ,vol. 52, pp. 959- 967 ,(2004) , 10.1016/J.ACTAMAT.2003.10.030