Pulse time profile influence on laser processing
Matematičeskoe modelirovanie, Tome 19 (2007) no. 9, pp. 54-78.

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Theoretical analysis of laser pulse time shape influence on speed of heating process, phase transformations and material removal, was made based on multi-front Stefan problem. Modeling revealed that quantitative and qualitative characteristics of the processes, that take place in radiated surface, depending on whether the system switches to quasi-steady or steady state during the pulse duration. In steady state material removal is controlled by specific heat of evaporation, in the same time, for highly non steady states leading role has thermal conductivity and capacity. For that reason during short pulse interactions ($\tau_L\le 10^{-6}$s) thermal mechanism leads to intensive removal of metals with low thermal conductivity (titan). During long interactions ($\tau_L\approx10^{-4}-10^{-3}$s), when the system goes to steady (or quasi-steady) state, the amount of removed media depends on the specific heat of evaporation and does not depend on thermal conductivity of the material. Copper, that has high thermal conductivity metal, and with specific heat of evaporation lesser than titan's, mass removal during quasi-steady processes is higher.
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M. G. Lobok; V. I. Mazhukin. Pulse time profile influence on laser processing. Matematičeskoe modelirovanie, Tome 19 (2007) no. 9, pp. 54-78. http://geodesic.mathdoc.fr/item/MM_2007_19_9_a4/

[1] N. Rykalin, A. Uglov, I. Zuev, A. Kokora, Laser and electron material processing Handbook, Mir, Moscow, 1988

[2] J. Mazumder, “Overview of melt dynamics in laser processing”, Optical Engineering, 30:8 (1991), 1208–1219 | DOI

[3] A. A. Vedenov, G.G. Gladush, Fizicheskie protsessy pri lazernoi obrabotke materialov, Energoatomizdat, M., 1985

[4] V. I. Mazhukin, A. A. Samarskii, “Mathematical modeling in the technology of laser treatments of materials”, Surv. Math. Ind., 4 (1994), 85–149 | MR | Zbl

[5] N. N. Rykalin, Raschety teplovykh protsessov pri svarke, Mashgiz, M., 1951

[6] E. M. Kartashov, “Analiticheskie metody resheniya kraevykh zadach nestatsionarnoi teploprovodnosti v oblastyakh s dvizhuschimisya granitsami”, Inzhenerno-fizicheskii zhurnal, 74:2 (2001), 171–195

[7] D. A. Anderson, J. C. Tannehill, R. H. Pletcher, Computation fluid mechanics and heat transfer, Hemisphere Publishing Corporation, New York ; D. Andersen, Dzh. Tannekhil, R. Pletcher, Vychislitelnaya gidrodinamika i teploobmen, T. 1, 2, Mir, M., 1990 | MR | Zbl

[8] P. S. Mohanty, A. Kar, J. Mazumder, “A modeling study on the insluence of pulse shaping on keyhole laser welding”, J. Laser Applications, 1996, no. 8, 291–297

[9] A. A. Uglov, I. Yu. Smurov, A. M. Lashin, A. G. Guskov, Modelirovanie teplofizicheskikh protsessov impulsnogo lazernogo vozdeistviya na metally, Nauka, M., 1991

[10] V. I. Mazhukin, V. V. Nossov, U. Semmler, “Modeling of the influence of temporal laser pulse shape on the processes of metal treatment”, Proc. IV Minsk Int. Heat and Mass Transfer Forum, 5, Minsk, 2000, 481–486

[11] A. A. Samokhin, Effect of laser radiation on absorbing condensed matter, Proceedings of the Institute of General Physics Academy of Sciences of the USSR, 13, ed. A. M. Prokhorov, Nova Science Publishers, Commack, New York, 1990

[12] J. I. Masters, “Problem of intense surface heating of a slab accompanited by change of phase”, J. Appl. Phys., 27 (1956), 477–484 | DOI

[13] V. I. Mazhukin, A. A. Samokhin, “Matematicheskoe modelirovanie”, Nelineinye differentsialnye uravneniya matematicheskoi fiziki, M., 1987, 191–244 | MR | Zbl

[14] D. Crout, “An application of kinetic theory to the problems of evaporation and sublimation of monoatomic gases”, J. Math. Phys., 1936, no. 15, 1–54 | Zbl

[15] V. I. Mazhukin, P. V. Prudkovskii, A. A. Samokhin, “O gazodinamicheskikh granichnykh usloviyakh na fronte ispareniya”, Matem. modelirovanie, 5:6 (1993), 3–10 | MR | Zbl

[16] B. Cheynet, J.-D. Dubois, M. Milesi, Donnees thermodynamiques des elements chimiques. Techniques de l`Ingenier, traite Materiaux metalliques, 1993, M64-1-M64-22. Printed in France by Imprimerie Strasbourgeoise

[17] M. Laurent, P. L. Vuillermoz, Conductivite Thermique des solides. Techniques de l`Ingenier, traite Constantes physico-chimiques, 1995, K420-1-K420-30. Printed in France by Imprimerie Strasbourgeoise

[18] von H. Borchers, E. Schmidt (ed.), Numerical Data and Functional Relatioships in Science and Technology, Landolt–Bornstein, 6, Springer-Verlag, Berlin-Gottingen-Heidelberg-New York, 1964

[19] K. Dzh. Smilz, Metally, Spravochnik. Izdanie pyatoe, ed. S. G. Glazunov, Metallurgiya, M., 1980

[20] I. S. Grigorev, E. Z. Meilikhov (red.), Fizicheskie velichiny, Spravochnik, Energoatomizdat, M., 1991

[21] P. V. Breslavskii, V. I. Mazhukin, “Matematicheskoe modelirovanie protsessov plavleniya i ispareniya s yavnym vydeleniem fazovykh granits”, Inzhenerno-fizicheskii zhurnal, 57:1 (1989), 107–114

[22] V. I. Mazhukin, I. Smurov, C. Dupuy, D. Jeandel, “Simulation of Laser Induced Melting and Evaporation Processes in Superconducting Ceramics”, J. Numerical Heat Transfer, Part A, 26 (1994), 587–600 | DOI

[23] V. I. Mazhukin, M. M. Demin, A. V. Shapranov, I. Smurov, “The method of construction dynamically adapting grids for problems of unstable laminar combustion”, Numerical Heat Transfer, Part B: Fundamentals, 44:4 (2003), 387–415 | DOI | MR

[24] A. A. Samarskii, Teoriya raznostnykh skhem, Nauka, M., 1977 | MR | Zbl

[25] A. A. Samarskii, Yu. P. Popov, Raznostnye metody resheniya zadach gazovoi dinamiki, Nauka, M., 1992 | MR

[26] O. N. Korolëva, V. I. Mazhukin, “Matematicheskoe modelirovanie lazernogo plavleniya i ispareniya mnogosloinykh materialov”, ZhVM i MF, 46:5 (2006), 887–901 | MR

[27] B. Ya. Lyubov, E. N. Sobol, “Razvitie teplovoi modeli poverkhnostnogo ispareniya metallov pod deistviem kontsentrirovannykh potokov energii”, Obzor. Fiz. khim. obrab. mater., 1979, no. 1, 12–26