Mathematical Theory of Electrochemical Machining 2. Anodic Shaping

Abstract
Further solutions to the potential equation with moving boundary conditions, applicable to the electrochemical machining process, are presented. A theory is proposed for the machining of an arbitrary distribution of irregularities on to an anode for the cases where the cathode profile is specified and the resultant anode shape must be found, and where a cathode profile must be designed to give a required anode shape. Limitations on the application of this theory are discussed. The effects of overpotential are also discussed; overpotential only at the cathode is shown to reduce the limiting amplitude which can be obtained on the anode, and to increase the machining time required to achieve it. Overpotential only at the anode has no effect on this limiting amplitude, but again increases the necessary machining time.

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