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Analytical study on deep penetration induced by focused moving high-energy beam

Published online by Cambridge University Press:  20 February 2017

B.C. Chen ,
C.Y. Ho ,
M.Y. Wen ,
V.H. Lin  and
Y.C. Lee
B.C. Chen
Affiliation:
Department of Chinese medicine, Buddhist Dalin Tzu Chi General Hospital, Chiayi 622, Taiwan
C.Y. Ho*
Affiliation:
Department of Mechanical Engineering, Hwa Hsia University of Technology, Taipei 235, Taiwan
M.Y. Wen
Affiliation:
Department of Mechanical Engineering, Cheng Shiu University, Kaohsiung 833, Taiwan
V.H. Lin
Affiliation:
Department of Mechanical Engineering, Hwa Hsia University of Technology, Taipei 235, Taiwan
Y.C. Lee
Affiliation:
Department of Architecture, National Taitung Junior College, Taitung 950, Taiwan
*
*Address correspondence and reprint requests to: C.Y. Ho, Department of Mechanical Engineering, Hwa Hsia University of Technology, Taipei 235, Taiwan. E-mail: [email protected]
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Abstract

This paper investigates the focal location effects on the penetration depth of molten region surrounding a paraboloid of revolution-shaped cavity (i.e. keyhole of this model) irradiated by a moving focused energy beam, which profile of intensity is assumed to be Gaussian distribution. Considering the momentum balance at the base of the keyhole, a quasi-steady-state thermal model relative to a constant-speed moving high-energy beam and paraboloid of revolution-shaped cavity is developed in a parabolic coordinate system. The analytical solution is obtained for this model with the adiabatic condition directly set on the workpiece surface for semi-infinite domain instead of the image method for infinite domain using the separation-of-variables method. The analytical solution of this model gives a reasonable prediction for the cavity temperatures. The predicted relation of the penetration depth to the focal location agrees with the available measured data. The effects of focal convergence angle and spot size on the penetration depth are also discussed.

Keywords

Deep penetrationFocused energy beamMoving high-energy beam
Type
Research Article
Information
Laser and Particle Beams , Volume 35 , Issue 2 , June 2017 , pp. 193 - 201
Copyright
Copyright © Cambridge University Press 2017 

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Footnotes

†

These authors contributed equally to this work.

References

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