A free boundary problem related to laser beam fusion cutting: ODE approximation

International Journal of Heat and Mass Transfer - Tập 40 - Trang 2913-2928 - 1997
W. Schulz1
1Lehrstuhl für Lasertechnik –, RWTH Aachen, Germany

Tài liệu tham khảo

Belforte, 1996, 7 Duley, 1976 Steen, 1983 van Allmen, 1989 Schuöcker, 1984, Theoretical model of oxygen assisted laser cutting 1995 Petring, 1994, Anwendungsorientierte Modellierung des Laserstrahl-schneidens zur rechnergestützten Prozeβoptimierung Schulz, 1992, Schmelzschneiden mit Laserstrahlung: Hydrodynamik und Stabilität des physikalischen Prozesses Zefferer, 1993, Laserstrahlschmelzschneiden: Diagnostik und Modellierung des Schmelznachlaufes und der Riefenbildung, 123 Elliot, 1982, Weak and variational methods for moving boundary problems, 59 Andrews, 1975, On the motion of intensely heated evaporating boundary, IMA Journal of Applied Mathematics, 15, 59, 10.1093/imamat/15.1.59 Fasano, 1977, General free-boundary problems for the heat equation I, II, III, Journal of Mathematics Analytical Application, 57, 694, 10.1016/0022-247X(77)90256-6 Fasano, 1977, General free-boundary problems for the heat equation I, II, III, Journal of Mathematics Analytical Application, 58, 202, 10.1016/0022-247X(77)90239-6 Fasano, 1977, General free-boundary problems for the heat equation I, II, III, Journal of Mathematics Analytical Application, 59, 1, 10.1016/0022-247X(77)90088-9 Modest, 1986, Evaporative cutting of a semi-infinite body with a moving CW laser, Transactions of ASME, 108, 602, 10.1115/1.3246978 Bang, 1991, Multiple reflection effects on evaporative cutting with a moving cw laser, Journal of Heat Transfer, 113, 663, 10.1115/1.2910616 Modest, 1996, Three-dimensional, transient model for laser machining of ablating/decomposing materials, International Journal of Heat and Mass Transfer, 39, 221, 10.1016/0017-9310(95)00134-U Biot, 1962, Variational analysis of ablation, Journal of Aerospace Science, 29, 228, 10.2514/8.9367 Kostrykin, V. and Schulz, W., A free boundary value problem related to the laser cutting process (in preparation) Makashev, 1992, Gas hydrodynamics of metal cutting by cw laser radiation in a rare gas, Soviet Journal of Quantum Electronics, 22, 852, 10.1070/QE1992v022n09ABEH003612 Vicanek, 1987, Hydrodynamical instability of melt flow in laser cutting, Journal of Physics D: Applied Physics, 20, 847, 10.1088/0022-3727/20/1/021 Zefferer, H., Schneider, F., Wischnewski, P., Petring, D., Kostrykin, V. and Schulz, W., Dynamics and ripple formation in laser beam fusion cutting: experimental approach (in preparation). Goldstein, 1978, 21 Goldstein, 1978, 24 Goldstein, 1978, 377 Schulz, 1994, Stationary leading edge: the onset of the laser beam induced melting front Zimmermann, 1996, Die Dynamik der Absorptionsfront beim Schmelzschneiden mit Laserstrahlung Arnold, 1994, Bifurcation theory, 154 Carslaw, 1959