Abstract:
A mathematical model of gas-laser cutting of metal plates in an inert gas is proposed. The formation and flow of the liquid metal melt film at the cutting front is considered within the framework of incompressible boundary-layer equations. Based on the resultant analytical solution, a local law of energy conservation on the cutting surface is derived, which takes into account the melt-film thickness and the temperature dependence of thermophysical parameters of the metal. The problem of the cutting shape and depth is solved in the two-dimensional formulation. A comparison with experimental data is made in terms of the cutting depth and maximum cutting velocity for carbon and alloy steel.
Citation:
O. B. Kovalev, A. M. Orishich, V. M. Fomin, V. B. Shulyat'ev, “Adjoint problems of mechanics of continuous media in gas-laser cutting of metals”, Prikl. Mekh. Tekh. Fiz., 42:6 (2001), 106–116; J. Appl. Mech. Tech. Phys., 42:6 (2001), 1014–1022
\Bibitem{KovOriFom01}
\by O.~B.~Kovalev, A.~M.~Orishich, V.~M.~Fomin, V.~B.~Shulyat'ev
\paper Adjoint problems of mechanics of continuous media in gas-laser cutting of metals
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2001
\vol 42
\issue 6
\pages 106--116
\mathnet{http://mi.mathnet.ru/pmtf2851}
\elib{https://elibrary.ru/item.asp?id=17265483}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2001
\vol 42
\issue 6
\pages 1014--1022
\crossref{https://doi.org/10.1023/A:1012569912490}
Linking options:
https://www.mathnet.ru/eng/pmtf2851
https://www.mathnet.ru/eng/pmtf/v42/i6/p106
This publication is cited in the following 7 articles:
Karim Kheloufi, El Hachemi Amara, Ahmed Benzaoui, “Numerical Simulation of Transient Three-Dimensional Temperature and Kerf Formation in Laser Fusion Cutting”, Journal of Heat Transfer, 137:11 (2015)
F. K. Smorodin, G. F. Mingaleev, “Mathematical representation of gas laser metalcutting based upon the quasisteady melt flow”, Russ. Aeronaut., 57:4 (2014), 435
O.B. Kovalev, P.V. Yudin, A.V. Zaitsev, “Modeling of flow separation of assist gas as applied to laser cutting of thick sheet metal”, Applied Mathematical Modelling, 33:9 (2009), 3730
O B Kovalev, P V Yudin, A V Zaitsev, “Formation of a vortex flow at the laser cutting of sheet metal with low pressure of assisting gas”, J. Phys. D: Appl. Phys., 41:15 (2008), 155112
Peter Yudin, Oleg Kovalev, International Congress on Applications of Lasers & Electro-Optics, 2007, 1401
G V Ermolaev, O B Kovalev, A M Orishich, V M Fomin, “Mathematical modelling of striation formation in oxygen laser cutting of mild steel”, J. Phys. D: Appl. Phys., 39:19 (2006), 4236
Giovanni Tani, Luca Tomesani, Giampaolo Campana, “Prediction of melt geometry in laser cutting”, Applied Surface Science, 208-209 (2003), 142
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