## Simulation of electrochemical machining using the boundary element method with no saturationстатья

Информация о цитировании статьи получена из Scopus, Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 17 января 2018 г.
• Авторы:
• Журнал: Computational Mathematics and Mathematical Physics
• Том: 56
• Номер: 10
• Год издания: 2016
• Издательство: Pleiades Publishing, Ltd
• Местоположение издательства: Road Town, United Kingdom
• Первая страница: 1793
• Последняя страница: 1802
• DOI: 10.1134/S0965542516100134
• Аннотация: The simulation of electrochemical machining (ECM) is based on determining the surface shape at each point in time. The change in the shape of the surface depends on the rate of the electrochemical dissolution of the metal (conducting material), which is assumed to be proportional to the electric field strength on the boundary of the workpiece. The potential of the electric field is a harmonic function outside the two domains-the tool electrode and the workpiece. Constant potentials are specified on the boundaries of the tool electrode and the workpiece. A scheme with no saturation in which the strength of the electric field created by the potential difference on the boundary of the workpiece is proposed. The scheme converges exponentially in the number of grid elements on the workpiece boundary. Given the rate of electrochemical dissolution, the workpiece boundary, which depends on time, is found. The numerical solutions are compared with exact solutions, examples of the ECM simulation are discussed, and the results are compared with those obtained by other numerical methods and the ones obtained using ECM machines.
• Добавил в систему: Левитин Александр Леонидович

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1. 5_Petrov_Sanduleanu_en_2016_ECM.pdf 5_Petrov_Sanduleanu_en_2016_ECM.pdf 631,1 КБ 25 января 2018 [shtefan.sanduleanu]

 [1] Petrov A. G., Sanduleanu S. V. Simulation of electrochemical machining using the boundary element method with no saturation // Computational Mathematics and Mathematical Physics. — 2016. — Vol. 56, no. 10. — P. 1793–1802. The simulation of electrochemical machining (ECM) is based on determining the surface shape at each point in time. The change in the shape of the surface depends on the rate of the electrochemical dissolution of the metal (conducting material), which is assumed to be proportional to the electric field strength on the boundary of the workpiece. The potential of the electric field is a harmonic function outside the two domains-the tool electrode and the workpiece. Constant potentials are specified on the boundaries of the tool electrode and the workpiece. A scheme with no saturation in which the strength of the electric field created by the potential difference on the boundary of the workpiece is proposed. The scheme converges exponentially in the number of grid elements on the workpiece boundary. Given the rate of electrochemical dissolution, the workpiece boundary, which depends on time, is found. The numerical solutions are compared with exact solutions, examples of the ECM simulation are discussed, and the results are compared with those obtained by other numerical methods and the ones obtained using ECM machines. [ DOI ]