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