A method to determine the macroscopic toughness scatter of brittle materials

International Journal of Fracture

Volumn 125, Issue 1-2, 2004, Pages 171-187

  Forquin, Pascal ^a   Rota, Laurent ^a   Charles, Yann ^b   Hild, François ^b  

^a DGA/CTA   (France)

^b Grande Voie des Vignes   (France)

Author keywords

Crack opening displacement; Digital image correlation; Probabilities and statistics; Sandwiched beam technique; SiC ceramic; Single edge notched beam

Indexed keywords

CORRELATION METHODS; CRACKS; IMAGE ANALYSIS; SILICON CARBIDE; TOUGHNESS;

CRACK TIPS; SPATIAL RESOLUTIONS;

BRITTLENESS;

CERAMICS; FRACTURE TOUGHNESS;

EID: 1942455870     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:FRAC.0000021076.76987.62     Document Type: Article

References (33)

1. Abramowitz, M. and Stegun. I.A. (1965). Handbook of Mathematical Functions, Dover Publications, Inc., New York, USA.
2. Berthaud, Y., Scholz, Y. and Thesing, J. (1996). Méthodes optiques et acoustiques de mesures des caractéristiques mécaniques. Proceedings of Colloque national MECAMAT 'Mécanismes et mécanique des grandes déformations,' pp. 77-80.
3. Bouchaud, J.-P., Bouchaud, E., Lapasset, G. and Planés, J. (1993). Models of fractal cracks. Phys. Rev. Lett. 71, 2240-2243.
4. Buresch, F.E. (1979). Fracture toughness testing of alumina, In: Fracture Mechanics Applied to Brittle Materials, (edited by S.W. Freiman), ASTM, Philadelphia (USA), pp. 151-165.
5. Charles, Y. and Hild, F. (2002). Crack arrest in ceramic/steel assemblies. Int. J. Fract. 15(3), 251-272.
6. Chen, D.J., Chiang, F.P., Tan, Y.S. and Don, H.S. (1993). Digital speckle-displacement measurement using a complex spectrum method. Appl. Opt. 32, 1839-1849.
7. Chiang, F.P., Wang, Q. and Lehman, F. (1997). New developments in full-field strain measurements using speckles. In: Non-Traditional Methods of Sensing Stress, Strain and Damage in Materials and Structures, ASTM, Philadelphia, USA, pp. 156-169.
8. Chu, T.C., Ranson, W.F., Sutton, M.A. and Petters, W.H. (1985). Applications of digital-image-correlation techniques to experimental mechanics. Exp. Mech. 3(25), 232-244.
9. Dawicke, D.S. and Sutton, M.S. (1994). CTOA and crack-tunnelling measurements in thin sheet 2024-T3 aluminum alloy. Exp. Mech. 34, 357-368.
10. Denoual, C. and Riou, P. (1995). Comportement à l'impact de céramiques techniques pour blindages légers, CREA Report no. 95 R 005, Arcueil, France.
11. Freudenthal, A.M. (1968). Statistical Approach to Brittle Fracture In: Fracture, (edited by H. Liebowitz). Academic Press, New York, USA, pp. 591-619.
12. Hild, F., Raka, B., Baudequin, M., Roux, S. and Cantelaube, F. (2002). Multi-scale displacement field measurements of compressed mineral wool samples by digital image correlation. Appl. Optics IP 41(32), 6815-6828.
13. Jayatilaka, A. de S. and Trustrum, K. (1977). Statistical approach to brittle fracture. J. Mater. Sci. 12, 1426-1430.
14. Lawn, B.R. (1993). Fracture of Brittle Solids, Cambridge University Press, Cambridge, UK.
15. Lemaitre, P. and Piller, R. (1988). Comparison of the fracture toughness of alumina measured by three different methods. J. Mat. Sci. Let. 7, 772-774.
16. 3. J. Am. Ceram. Soc. 74(12). 2979-2987.
17. Merkel, I. and Messerschmidt, U. (1992). Fracture toughness of sintered SiC ceramics: a comparison between different methods. Mat. Sci. Eng. A151, 131-135.
18. Nose, T. and Fujii, T. (1988). Evaluation of fracture toughness for ceramic materials by a single-edge-precracked-beam method. J. Am. Ceram. Soc. 71(5), 328-333.
19. Pancheri, P., Bosetti, P., Dal Maschio, R. and Sglavo, V.M. (1998). Production of sharp cracks in ceramic materials by three-point bending of sandwiched specimens. Eng. Fract. Mech. 59(4), 447-456.
20. Périé, J.N., Calloch, S., Cluzel, C. and Hild, F. (2002). Analysis of a multiaxial test on a C/C composite by using digital image correlation and a damage model. Exp. Mech. 42(3), 318-328.
21. Perrin, G. and Rice, J.R. (1994). Disordering of a dynamic planar crack front in a model elastic medium of randomly variable toughness. J. Mech. Phys. Solids 42, 1047-1064.
22. Rastogi, P.K. (2000). Photomechanics, Springer, Berlin, Germany.
23. Riou, P. (1996). Contribution à l'étude de l'endommagement du carbure de silicium lors d'un impact de basse énergie: application aux blindages, PhD thesis. École Nationale Supérieure des Mines de Paris.
24. Roux, S., Vandembroucq, D. and Hild, F. (2003). Effective toughness of heterogeneous brittle materials. Eur. J. Mech. A/Solids 22, 743-749.
25. Schmittbuhl, J. and Måløy, K.J. (1997). Direct observation of a self-affine crack propagation. Phys. Rev. Lett. 78, 3888-3891.
26. Sglavo, V.M., Bosetti, P., Trentini, E. and Ceschini, M. (1999). Sandwiched-beam procedure for precracking brittle materials. J. Am. Ceram. Soc. 82(8), 2269-2272.
27. Srawley, J.E. (1976). Wide range of stress intensity factor expression for ASTM E399 standard fracture toughness specimens. Int. J. Fract. 12, 475-476.
28. Standard Test Method for Plane-Strain Fracture Toughness of Metallic Materials, ASTM Designation E 399-90 (1991). In: 1991 Annual Book of ASTM Standards, ASTM, Philadelphia (USA), pp. 412-442.
29. Sutton, M.A., McNeill, S.R., Helm, J.D. and Chao, Y.J. (2000). Advances in Two-Dimensional and Three-Dimensional Computer Vision. In: Photomechanics, (edited by P.K. Rastogi), Springer, Berlin, Germany, pp. 323-372.
30. Sutton, M.A., Wolters, W.J., Peters, W.H., Ranson, W.F. and McNeill, S.R. (1983). Determination of displacements using an improved digital correlation method. Im. Vis. Comp. 1(3), 133-139.
31. VAMAS Round Robin on Fracture Toughness Measurement of Ceramic Matrix Composites (1997). Japan Fine Ceramics Center.
32. Weibull, W. (1951). A statistical distribution function of wide applicability. ASME J. Appl. Mech. 18(3), 293-297.
33. Weibull, W. (1939). A statistical theory of the strength of materials. Roy. Swed. Inst. Eng. Res. 151, 1939.