Crack propagation as a free boundary problem

Physical Review Letters

Volumn 98, Issue 1, 2007, Pages

  Pilipenko, D ^a   Spatschek, R ^a   Brener, E A ^a   Muller Krumbhaar H ^a  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CRACKS; ELECTRODYNAMICS; INTERFACES (MATERIALS); MATHEMATICAL MODELS; PHASE TRANSITIONS; SOLUTIONS;

ELASTODYNAMIC EFFECTS; MULTIPOLE EXPANSION TECHNIQUE; RAYLEIGH SPEED; TIP SPLITTING INSTABILITY;

CRACK PROPAGATION;

EID: 33846400794     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.98.015503     Document Type: Article

References (21)

1. A.-A. Griffith, Phil. Trans. R. Soc. A 221, 163 (1921). PTRMAD 1364-503X
2. L.-B. Freund, Dynamic Fracture Mechanics (Cambridge University Press, New York, 1998).
3. J.-A. Hauch, D. Holland, M.-P. Marder, and H.-L. Swinney, Phys. Rev. Lett. 82, 3823 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.3823
4. I.-S. Aranson, V.-A. Kalatsky, and V.-M. Vinokur, Phys. Rev. Lett. 85, 118 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.118
5. A. Karma, D.-A. Kessler, and H. Levine, Phys. Rev. Lett. 87, 045501 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.045501
6. L. Eastgate, Phys. Rev. E 65, 036117 (2002). PLEEE8 1063-651X 10.1103/PhysRevE.65.036117
7. A. Karma and A.-E. Lobkovsky, Phys. Rev. Lett. 92, 245510 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.245510
8. H. Henry and H. Levine, Phys. Rev. Lett. 93, 105504 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.105504
9. V.-I. Marconi and E.-A. Jagla, Phys. Rev. E 71, 036110 (2005). PLEEE8 1063-651X 10.1103/PhysRevE.71.036110
10. K. Kassner, C. Misbah, J. Müller, J. Kappey, and P. Kohlert, Phys. Rev. E 63, 036117 (2001). PLEEE8 1063-651X 10.1103/PhysRevE.63.036117
11. E.-A. Brener and R. Spatschek, Phys. Rev. E 67, 016112 (2003). PLEEE8 1063-651X 10.1103/PhysRevE.67.016112
12. R. Spatschek, M. Hartmann, E. Brener, H. Müller-Krumbhaar, and K. Kassner, Phys. Rev. Lett. 96, 015502 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.015502
13. P. Noziéres, J. Phys. I (France) JPGCE8 1155-4304 3, 681 (1993). 10.1051/jp1:1993108
14. J.-R. Rice, Fracture: An Advanced Treatise (Academic, New York, 1968), Vol. 2, chap., p. 192.
15. Y. Saito, G. Goldbeck-Wood, and H. Müller-Krumbhaar, Phys. Rev. Lett. 58, 1541 (1987); PRLTAO 0031-9007 10.1103/PhysRevLett.58.1541
16. Y. Saito G. Goldbeck-Wood H. Müller-Krumbhaar Phys. Rev. A 38, 2148 (1988). PLRAAN 1050-2947 10.1103/PhysRevA.38.2148
17. M.-J.-D. Powell, in Numerical Method for Nonlinear Algebraic Equations, edited by, P. Rabinowitz, (Gordon and Breach, London, 1970).
18. J.-E. Dennis, Jr. and R.-B. Shnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Prentice Hall, New York, 1983).
19. J. Fineberg and M. Marder, Phys. Rep. 313, 1 (1999). PRPLCM 0370-1573 10.1016/S0370-1573(98)00085-4
20. R.-J. Asaro and W.-A. Tiller, Metall. Trans. MTGTBF 0026-086X 3, 1789 (1972);
21. M.-A. Grinfeld, Sov. Phys. Dokl. 31, 831 (1986). SPHDA9 0038-5689