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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2017 Volume 58, Issue 6, Pages 167–176 (Mi pmtf649)

This article is cited in 1 paper

Simulation of electrochemical copying in a finite-width cell

V. P. Zhitnikov, N. M. Sherykhalina, A. A. Zaripov

Ufa State Aviation Technical University, Ufa, 450000, Russia

Abstract: The problem of simulation of electrochemical treatment by reduction to a solution of a Schwartz problem on a parametric rectangle via theta functions is solved. Various conditions are considered (nonequipotentiality of electrodes and inconsistent current output) at the boundary of the surface treated. Nonstationary, quasistationary, stationary, and limiting solutions are presented. The results of surface treatment with tool electrodes of various shapes are given. It is shown that the parameters of the processing mode significantly affect the allowance necessary to achieve highly accurate copying.

Keywords: Hele–Shaw problem, nonstationarity, quasistationary solution, complex variables, copying accuracy.

UDC: 001.891.573

Received: 31.10.2016

DOI: 10.15372/PMTF20170616


 English version:
Journal of Applied Mechanics and Technical Physics, 2017, 58:6, 1099–1107

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