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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2017, Volume 58, Issue 6, Pages 167–176
DOI: https://doi.org/10.15372/PMTF20170616
(Mi pmtf649)
 

This article is cited in 1 scientific paper (total 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
Full-text PDF (335 kB) Citations (1)
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.
Funding agency Grant number
Russian Foundation for Basic Research 17-07-00356
Received: 31.10.2016
English version:
Journal of Applied Mechanics and Technical Physics, 2017, Volume 58, Issue 6, Pages 1099–1107
DOI: https://doi.org/10.1134/S0021894417060165
Bibliographic databases:
Document Type: Article
UDC: 001.891.573
Language: Russian
Citation: V. P. Zhitnikov, N. M. Sherykhalina, A. A. Zaripov, “Simulation of electrochemical copying in a finite-width cell”, Prikl. Mekh. Tekh. Fiz., 58:6 (2017), 167–176; J. Appl. Mech. Tech. Phys., 58:6 (2017), 1099–1107
Citation in format AMSBIB
\Bibitem{ZhiSheZar17}
\by V.~P.~Zhitnikov, N.~M.~Sherykhalina, A.~A.~Zaripov
\paper Simulation of electrochemical copying in a finite-width cell
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 6
\pages 167--176
\mathnet{http://mi.mathnet.ru/pmtf649}
\crossref{https://doi.org/10.15372/PMTF20170616}
\elib{https://elibrary.ru/item.asp?id=30676171}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 6
\pages 1099--1107
\crossref{https://doi.org/10.1134/S0021894417060165}
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  • https://www.mathnet.ru/eng/pmtf/v58/i6/p167
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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