Material-independent crack arrest statistics: Application to indentation experiments

International Journal of Fracture

Volumn 142, Issue 1-2, 2006, Pages 51-67

  Charles, Yann ^a,b   Hild, François ^a   Roux, Stéphane ^c   Vandembroucq, Damien ^c  

^a SORBONNE UNIVERSITÉ   (France)

^b UNIVERSITÉ PARIS 13   (France)

^c SAINT GOBAIN RECHERCHE   (France)

Author keywords

Brittle fracture; Crack arrest; Depinning; Heterogeneity; Indentation; Probability and statistics

Indexed keywords

CRACK PROPAGATION; FRACTURE TOUGHNESS; INDENTATION; MATHEMATICAL MODELS; PROBABILITY; STATISTICS;

CRACK ARREST; DEPINNING;

BRITTLENESS;

EID: 33846045728     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-006-9022-9     Document Type: Article

References (25)

1. Bouchaud E (1997) Scaling properties of cracks. J Phys Condens Matter 9:4319-4344
2. Charles Y, Hild F (2002) Crack arrest in ceramic/steel assemblies. Int J Fract 15(3):251-272
3. Charles Y, Hild F, Roux S (2003) Long-term reliability of ceramics: The issue of crack arrest. ASME J Eng Mater Technol 125:333-340
4. Charles Y, Vandembroucq D, Hild F, Roux S (2004) Material independent crack arrest statistics. J Mech Phys Solids 52:1651-1669
5. Chudnovsky A, Kunin B (1987) A probabilistic model of brittle crack formation. J Appl Phys 62:4124-4129
6. Cook RF, Lawn BR, Fairbanks CJ (1985) Microstructure-strength properties: I. Effect of crack size on toughness. J Am Ceram Soc 68:604-615
7. Gao H, Rice JR (1989) A first order perturbation analysis on crack trapping by arrays of obstacles. J Appl Mech 56:828-836
8. Glandus JC, Rouxel T (1991) Study of the Y-TZP toughness by an indentation method. Ceram Int 17:129-135
9. Herrmann HJ, Roux S (1990) Statistical models for the fracture of disordered media. North-Holland
10. Jayatilaka A de S, Trustrum K (1977) Statistical approach to brittle fracture. J Mater Sci 12:1426-1430
11. Jeulin D (1994) Fracture statistics models and crack propagation in random media. Appl Mech Rev 47(1):141-150
12. Joanny J-F, de Gennes PG (1984) A model for contact angle hysteresis. J Chem Phys 81:552-562
13. Kurkjian CR (1985) Strength of inorganic glass. Plenum Press, New York, USA
14. Lawn BR (1993) Fracture of brittle solids. Cambridge University Press, Cambridge, UK
15. Lawn BR, Evans AG, Marshall DB (1980) Elastic/plastic indentation damage in ceramics: The median/radial crack system. J Am Ceram Soc 63(9-10):574-581
16. Ponton CB, Rawlings RD (1989a) Vickers indentation fracture toughness test - Part 1 - review of literature and formulation of standardized indentation toughness equations. Mater Sci Technol 5:865-872
17. Ponton CB, Rawlings RD (1989b) Vickers indentation fracture toughness test - Part 2 - application and evaluation of standardized indentation toughness equations. Mater Sci Technol 5:961-976
18. Rosso A, Krauth W (2002) Roughness at the depinning threshold for a long-range elastic string. Phys Rev E 65:025101
19. Roux S, Vandembroucq D, Hild F (2003) Effective toughness of heterogeneous brittle materials. Eur J Mech A/Solids 22:743-749
20. Schmittbuhl J, Måløy KJ (1995) Direct observation of a self-affine crack propagation. Phys. Rev Lett 78: 3888-3891
21. Schmittbuhl J, Roux S, Vilotte J-P, Måløy KJ (1995) Interfacial crack pinning: Effect of non-local interaction. Phys Rev Lett 74:1787-1790
22. Skoe R, Vandembroucq D, Roux S (2002) Front propagation in random media: from extremal to activated dynamics. Int J Mod Phys C 13:751-757
23. Vandembroucq D, Roux S (2004) Large scale simulations of ultrametric depinning. Phys Rev E 70:026103
24. Wang J, Gong J, Guan Z (2002) Variation in the indentation toughness of silicon nitride. Mater Lett 57:643-646
25. Weibull W (1939) A statistical theory of the strength of materials. Roy Swed Inst Eng Res, Report no. 151