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Advances in Materials Science and Engineering
Volume 2017, Article ID 2435079, 8 pages
Research Article

Modeling the Influence of the Penetration Channel’s Shape on Plasma Parameters When Handling Highly Concentrated Energy Sources

1Department of Welding, Metrology, and Materials Technology, Perm National Research Polytechnic University, Komsomolskiy Prospekt, No. 29, Perm 614099, Russia
2Department of Automation and Telematics, Perm National Research Polytechnic University, Komsomolskiy Prospekt, No. 29, Perm 614099, Russia
3Department of Mechanical Engineering, Rapid Manufacturing Laboratory, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India

Correspondence should be addressed to Dmitriy N. Trushnikov; ur.xednay@rtimidrt

Received 2 July 2017; Accepted 24 August 2017; Published 12 October 2017

Academic Editor: Michael Aizenshtein

Copyright © 2017 Dmitriy N. Trushnikov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In our work to formulate a scientific justification for process control methods when processing materials using concentrated energy sources, we develop a model that can calculate plasma parameters and the magnitude of the secondary waveform of a current from a non-self-sustained discharge in plasma as a function of the geometry of the penetration channel, thermal fields, and the beam’s position within the penetration channel. We present the method and a numeric implementation whose first stage involves the use of a two-dimensional model to calculate the statistical probability of the secondary electrons’ passage through the penetration channel as a function of the interaction zone’s depth. Then, the discovered relationship is used to numerically calculate how the secondary current changes as a distributed beam moves along a three-dimensional penetration channel. We demonstrate that during oscillating electron beam welding the waveform has the greatest magnitude during interaction with the upper areas of the penetration channel and diminishes with increasing penetration channel depth in a way that depends on the penetration channel’s shape. When the surface of the penetration channel is approximated with a Gaussian function, the waveform decreases nearly exponentially.