Morphogenesis and propagation of complex cracks induced by thermal shocks

Physical Review Letters

Volumn 112, Issue 1, 2014, Pages

  Bourdin, Blaise ^a   Marigo, Jean Jacques ^b   Maurini, Corrado ^c,d   Sicsic, Paul ^b,e  

^a LOUISIANA STATE UNIVERSITY   (United States)

^b LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

^c INSTITUT JEAN LE ROND D ALEMBERT   (France)

^d CNRS   (France)

^e LAFARGE CENTRE DE RECHERCHE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COLUMNAR JOINTS; CRACK NETWORKS; GRADIENT DAMAGE; GRIFFITH CRITERION; INTERNAL LENGTH; PARALLEL CRACK; THREE DIMENSIONS; TWO-DIMENSION;

COMPLEX NETWORKS; COMPUTER SIMULATION; ELECTRONICS PACKAGING; MORPHOLOGY; NUMERICAL MODELS; THERMAL SHOCK;

GRIFFITH CRACKS;

EID: 84892385779     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.112.014301     Document Type: Article

References (31)

1. A. Pons and A. Karma, Nature (London) 464, 85 (2010). NATUAS 0028-0836 10.1038/nature08862
2. B. Bourdin, G.-A. Francfort, and J.-J. Marigo, J. Elast. 91, 5 (2008). JELSAY 0374-3535 10.1007/s10659-007-9107-3
3. H. A. Bahr, G. Fischer, and H. J. Weiss, J. Mater. Sci. 21, 2716 (1986). JMTSAS 0022-2461 10.1007/BF00551478
4. E. A. Jagla, Phys. Rev. E 65, 046147 (2002). PLEEE8 1063-651X 10.1103/PhysRevE.65.046147
5. D. R. Jenkins, Phys. Rev. E 71, 056117 (2005). PLEEE8 1539-3755 10.1103/PhysRevE.71.056117
6. C. Maurini, B. Bourdin, G. Gauthier, and V. Lazarus, Int. J. Fract. 184, 75 (2013). IJFRAP 0376-9429 10.1007/s10704-013-9824-5
7. J.-J. Marigo, J. Nonlinear Sci. 20, 831 (2010). JNSCEK 0938-8974 10.1007/s00332-010-9074-x
8. K. Pham and J.-J. Marigo, C.R. Mécanique 338, 199 (2010). 1631-0721 10.1016/j.crme.2010.03.012
9. K. Pham and J.-J. Marigo, Continuum Mech. Thermodyn. 25, 147 (2013). CMETEJ 0935-1175 10.1007/s00161-011-0228-3
10. G. Francfort and J.-J. Marigo, J. Mech. Phys. Solids 46, 1319 (1998). JMPSA8 0022-5096 10.1016/S0022-5096(98)00034-9
11. C. Jiang, X. Wu, J. Li, F. Song, Y. Shao, X. Xu, and P. Yan, Acta Mater. 60, 4540 (2012). ACMAFD 1359-6454 10.1016/j.actamat.2012.05.020
12. J. Geyer and S. Nemat-Nasser, Int. J. Solids Struct. 18, 137 (1982). IJSOAD 0020-7683 10.1016/0020-7683(82)90059-2
13. H.-A. Bahr, H.-J. Weiss, U. Bahr, M. Hofmann, G. Fischer, S. Lampenscherf, and H. Balke, J. Mech. Phys. Solids 58, 1411 (2010). JMPSA8 0022-5096 10.1016/j.jmps.2010.05.005
14. T. Boeck, H.-A. Bahr, S. Lampenscherf, and U. Bahr, Phys. Rev. E 59, 1408 (1999). PLEEE8 1063-651X 10.1103/PhysRevE.59.1408
15. B. Bourdin, G. Francfort, and J.-J. Marigo, J. Mech. Phys. Solids 48, 797 (2000). JMPSA8 0022-5096 10.1016/S0022-5096(99)00028-9
16. A. Braides, in Approximation of Free-Discontinuity Problems, Lecture Notes in Mathematics Vol. 1694 (Springer, New York, 1998).
17. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.112.014301 for more details on the damage model, its numerical implementation, and the postprocessing methods.
18. A. Karma, D. A. Kessler, and H. Levine, Phys. Rev. Lett. 87, 045501 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.045501
19. V. Hakim and A. Karma, Phys. Rev. Lett. 95, 235501 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.235501
20. Y. Shao, Y. Zhang, X. Xu, Z. Zhou, W. Li, and B. Liu, J. Am. Ceram. Soc. 94, 2804 (2011). JACTAW 0002-7820 10.1111/j.1551-2916.2011.04728.x
21. B. Bourdin, Interface Free Bound. 9, 411 (2007). 10.4171/IFB/171
22. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.112.014301 for the entire evolution from nucleation to crack selection.
23. P. Sicsic, J.-J. Marigo, and C. Maurini, J. Mech. Phys. Solids, doi: 10.1016/j.jmps.2013.09.003 (2013). JMPSA8 0022-5096
24. L. Goehring, L. Mahadevan, and S. W. Morris, Proc. Natl. Acad. Sci. U.S.A. 106, 387 (2009). PNASA6 0027-8424 10.1073/pnas.0805132106
25. M. Jungen, Math. Model. Methods Appl. Sci. 22, 1150006 (2012). 10.1142/S0218202511500060
26. E. A. Jagla and A. G. Rojo, Phys. Rev. E 65, 026203 (2002). PLEEE8 1063-651X 10.1103/PhysRevE.65.026203
27. H.-A. Bahr, M. Hofmann, H.-J. Weiss, U. Bahr, G. Fischer, and H. Balke, Phys. Rev. E 79, 056103 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.79.056103
28. V. Hakim and A. Karma, J. Mech. Phys. Solids 57, 342 (2009). JMPSA8 0022-5096 10.1016/j.jmps.2008.10.012
29. P. Sicsic and J.-J. Marigo, J. Elast. 113, 55 (2013). JELSAY 0374-3535 10.1007/s10659-012-9410-5
30. M. C. Milinkovitch, L. Manukyan, A. Debry, N. Di-Poï, S. Martin, D. Singh, D. Lambert, and M. Zwicker, Science 339, 78 (2013). SCIEAS 0036-8075 10.1126/science.1226265
31. P. Budkewitsch and P.-Y. Robin, J. Volcanol. Geotherm. Res. 59, 219 (1994). JVGRDQ 0377-0273 10.1016/0377-0273(94)90092-2