caa a22 4500 445844019 CHVBK 20180317145353.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s11085-010-9222-6 doi (NATIONALLICENCE)springer-10.1007/s11085-010-9222-6 Leblond Jean-Baptiste UPMC Univ Paris 6, UMR 7190, Institut Jean Le Rond d'Alembert, F-75005, Paris, France aut A Note on a Nonlinear Version of Wagner's Classical Model of Internal Oxidation [Elektronische Daten] [Jean-Baptiste Leblond] A nonlinear version of Wagner's classical model of internal oxidation is presented. This version accounts for the fact that precipitates may act as diffusion barriers by introducing a heuristic dependence of the diffusion coefficients of elements upon the local volume fraction of oxides formed. Remarkably, the now nonlinear problem still admits an analytic solution. This solution reveals a sudden and discontinuous transition from internal oxidation to formation of some external oxidized scale, when the fraction of oxide precipitates reaches some critical value which can be calculated explicitly in terms of the respective specific volumes of the matrix and the oxide. Springer Science+Business Media, LLC, 2010 Nonlinear Wagner model nationallicence Analytic solution nationallicence Internal oxidation nationallicence External oxidation nationallicence Oxidation of Metals Springer US; http://www.springer-ny.com 75/1-2(2011-02-01), 93-101 0030-770X 75:1-2<93 2011 75 11085 https://doi.org/10.1007/s11085-010-9222-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11085-010-9222-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Leblond Jean-Baptiste UPMC Univ Paris 6, UMR 7190, Institut Jean Le Rond d'Alembert, F-75005, Paris, France aut NATIONALLICENCE 773 0- Oxidation of Metals Springer US; http://www.springer-ny.com 75/1-2(2011-02-01), 93-101 0030-770X 75:1-2<93 2011 75 11085 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer