Novosibirsk, Russia, May, 30 – June, 4, 2011

International Conference
"Modern Problems of Applied Mathematics and Mechanics: Theory, Experiment and Applications", devoted to the 90th anniversary of professor Nikolai N. Yanenko

Назаренко Н.Н.   Князева А.Г.  

Modeling of coating growth at the condition of microarc oxidation

Reporter: Назаренко Н.Н.

Growth of coating at the condition microarc oxidation depends on electrolyte composition, voltage at component and tank, mass exchange coefficient between liquid phase and coating and on electrolyte size tank. Model physicochemical process in electrolyte tank; model of coating growth where the law of growth follows from the solution of the kinetic problem; model of coating growth with moving boundary between phases, traverse rate of which evidently is given formulated and investigated. Rapid establishment of quasisatianary growth behavior and expeiciten have been element concentration distribution in electrolyte allow to assume the rate of coating growth as some function of on electric field and frequency, but in the frame of kinetic model of growth it is given function of time. Element concentration near by the surface of growthing coating are also given flowing out of solution of outer problem or experiment data. Full mathematical model of the coating growth contains the diffusion equations in solid phase (in titanium base and in growthing coating, law of coating growth; the symmetry condition); the boundary conditions on fixed and moving boundaries, as well as initial conditions. In diffusion equations the sources and of the mass out lets due to chemical reactions at into account. Because on information’s on concentration distributions in the layers define the mechanical stresses and deformations in the growth coating and in substrate using the solution of problem on mechanical equilibrium. Stress have a diffusion nature, but they can also be associated with the properties change during the reactions. The concentration distribution, deformations and stress in the coating and substrate, the width of diffused zone in substrate and are calculated for varied model parameters. The work supported at the Financial Support of grant RFBR №08-03-00960-а.

Abstracts file: Nazarenko.doc
Full text file: 1.rar

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