Mathematical simulation of laser induced melting and evaporation of multilayer materials

Computational Mathematics and Mathematical Physics

Volumn 46, Issue 5, 2006, Pages 848-862

  Koroleva, O N ^a   Mazhukin, V I ^b  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

^b INSTITUTE OF MATHEMATICAL MODELING   (Russian Federation)

Author keywords

Difference schemes; Dynamic adaptation; Grid generation; Laser action; Mathematical simulation; Multifront Stefan problem; Multilayer target; Phase transitions

Indexed keywords

EID: 33746046331     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: 10.1134/S0965542506050095     Document Type: Article

References (20)

1. N. N. Rykalin, A. A. Uglov, I. V. Zuev, and A. N. Kokora, Laser and Electron-Beam Treatment of Metals (Mashinostroenie, Moscow, 1985) [in Russian].
2. V. I. Volgin, "Influence of Surface Laser Doping on the Hardness of the Aluminum Alloy AL25," Poverkhnost', Fiz., Khim., Mekh., No. 1, 125-129 (1983).
3. 2 Laser," Elektron. Obrab. Mater., No. 1, 26-29 (1984).
4. I. F. Deriglazova, I.I. Levites, and B. F. Mul'chenko, "Laser Doping of of Aluminum Piston Alloys: Investigation of the Structure," Avtomobil. Prom., Lazern. Obrab., No. 12, 8-10 (1985).
5. I. F. Deriglazova, I. V. Bogolyubova, and B. F. Mul'chenko, "Investigation of Doping Aluminum Pistons Using Laser Emission," in Trudy of NPO NIITavtoprom (NPO NIITavtoprom, Moscow, 1987), No. 2, pp. 33-34 [in Russian].
6. I. F. Deriglazova, B. F. Mul'chenko, S. S. Vorob'ev, et al., "Laser Hardening of Grooves in Aluminum Pistons," Avtomobil. Prom., Tekhnologiya, Materialy, No. 9, 25-26 (1987).
7. I. V. Bogolyubov, I. F. Deriglazova, and B. F. Mul'chenko, "Laser Surface Doping of the Alloy AL25," Metallovedenie Term. Obrab. Metal., No. 5, 24-25 (1988).
8. V. I. Mazhukin and A. A. Samarskii, "Mathematical Modeling in the Technology of Laser Treatments of Materials," Surv. Math. Ind. 4, 85-149 (1994).
9. N. A. Dar'in and V. I. Mazhukin, "Mathematical Modeling of the Stefan Problem on an Adaptive Grid," Differ. Uravn. 23, 1154-1160 (1987).
10. P. V. Breslavskii and V. I. Mazhukin, "Mathematical Modeling of Pulse Melting and Evaporation of Metals with the Explicit Tracking of the Interphase Boundaries," Inzh. Fiz. Zh. 57 ( 1), 107-114 (1989).
11. V. I. Mazhukin, I. Smurov, C. Dupuy, and D. Jeandel, "Simulation of Laser Induced Melting and Evaporation Processes in Superconducting Ceramics," J. Numer. Heat Transfer, Part A 26 587-600 (1994).
12. B. Cheynet, J.-D. Dubois, and M. Milesi, "Données thermodynamiques des éléments chimiques," in "Technique de l'ingenier, traité materiaux metalliques" (Imprimerie Strasbourgeoise, Strasbourg, 1993), pp. M 64-1-M 64-22.
13. M. Laurent and P. L. Vuillermoz, "Conductivité Thermique des Solides," in "Technique de l'ingenier, traité constantes physico-chimiques" (Imprimerie Strasbourgeoise, Strasbourg, 1995), pp. K 420-1-K 420-30.
14. Numerical Data and Functional Relationships in Science and Technology, Ed. by H. von Borchers and E. Schmidt (Springer, Berlin, 1964), Vol. 6.
15. Metals Reference Book, Ed. by C. J. Smithells (Butterworth, London, 1976; Metallurgiya, Moscow, 1980).
16. Physical Quantities: Handbook, Ed. by I. S. Grigor'ev and E. P. Melikhov (Energoatomizdat, Moscow, 1991).
17. Zahlenwerte und Funktionen aus Physik, Chemie, Astronomie, Geophysic und Technik, Vol 2: Eigenschaften der Materie in ihren Aggregatzuständen, Ed. by J. von Bartels, H. von Borchers, and P. Tens (Springer, Berlin, 1961).
18. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (Mosk. Gos. Univ., Moscow, 1999) [in Russian].
19. A. A. Samarskii, Theory of Finite Difference Schemes (Nauka, Moscow, 1977; Marcel Dekker, New York, 2001).
20. A. A. Samarskii and E. S. Nikolaev, Methods for Solving Difference Equations (Nauka, Moscow, 1978) [in Russian].