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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2011 Number 12, Pages 21–29 (Mi ivm8402)

This article is cited in 3 papers

Exact solutions of two limiting quasistationary electrochemical shaping

V. P. Zhitnikov, E. M. Oshmarina, G. I. Fedorova

Ufa State Aviation Technical University, Ufa, Russia

Abstract: We model the precision electrochemical machining with the help of a jump-like current efficiency function, assuming that in the working area of the machined surface the current density takes on the critical value. We formulate and solve limiting quasistationary shaping problems, which allows us to study a nonstationary process with sufficient accuracy.

Keywords: nonstationary Hele–Shaw problem, quasistationary approximation, analytic functions, conformal mapping.

UDC: 517.544+621.9

Received: 11.11.2010


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:12, 16–22

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© Steklov Math. Inst. of RAS, 2024