An interacting micro-crack damage model for failure of brittle materials under compression

Journal of the Mechanics and Physics of Solids

Volumn 56, Issue 3, 2008, Pages 896-923

  Paliwal, B ^a   Ramesh, K T ^a  

^a Johns Hopkins University   (United States)

Author keywords

Ceramic; Defect distributions; Dynamic fracture; Micro cracking; Stress concentrations

Indexed keywords

COMPRESSIVE STRENGTH; CRACK PROPAGATION; DISTRIBUTION FUNCTIONS; FAILURE ANALYSIS; STRAIN RATE;

DEFECT DISTRIBUTIONS; DYNAMIC FRACTURE; MICRO-CRACKING; STRESS CONCENTRATIONS;

BRITTLENESS;

EID: 39049132015     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2007.06.012     Document Type: Article

References (40)

1. Ashby M.F., and Hallam S.D. The failure of brittle solids containing small cracks under compressive stress states. Acta Metall. 34 (1986) 497-510
2. Ashby M.F., and Sammis C.G. The damage mechanics of brittle solids in compression. PAGEOPH 133 (1990) 489-521
3. Basista M., and Gross D. A note on crack interactions under compression. Int. J. Fract. 102 (2000) L67-L72
4. Bhattacharya K., Ortiz M., and Ravichandran G. Energy-based model of compressive splitting in heterogeneous brittle solids. J. Mech. Phys. Solids 46 (1998) 2171-2181
5. Brace W.F., and Bombolakis E.G. A note on brittle crack growth in compression. J. Geophys. Res. 68 (1963) 3709-3713
6. Budiansky B., and O'Connell R.J. Elastic moduli of a cracked solid. Int. J. Solids Strcut. 12 (1976) 81-97
7. Chen W.T. On an elliptic elastic inclusion in an anisotropic medium. Quart. J. Mech. Appl. Math 20 (1967) 307-313
8. Deng H., and Nemat-Nasser S. Dynamic damage evolution in brittle solids. Mech. Mater. 14 (1992) 83-104
9. Eberhardt E., Stead D., and Stimpson B. Quantifying progressive pre-peak brittle fracture damage in rock during uniaxial compression. Int. J. Rock Mech. Minor. Sci. 36 (1999) 361-380
10. Eshelby J. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc. London A A 241 (1957) 376-396
11. Freund L.B. Crack propagation in an elastic solid subjected to general loading II. Nonuniform rate of extension. J. Mech. Phys. Solids 20 (1972) 141-152
12. Freund L.B. Dynamic Fracture Mechanics (1990), Cambridge University Press, New York
13. Grady D.E. Local inertial effects in dynamic fragmentation. J. Appl. Phys. 53 (1982) 322-325
14. Grady D.E., and Kipp M.E. Continuum modelling of explosive fracture in oil shale. Int. J. Rock Mech. Miner. Sci. 17 (1980) 147-157
15. Green A.E., and Zerna W. Theoretical Elasticity (1968), Clarendon Press, Oxford
16. Horii H., and Nemat-Nasser S. Elastic fields of interacting inhomogeneities. Int. J. Solids Strcut. 21 (1985) 731-745
17. Horii H., and Nemat-Nasser S. Brittle failure in compression: splitting, faulting and brittle-ductile transition. Philos. Trans. R. Soc. London A 319 (1986) 337-374
18. Huang C., and Subhash G. Influence of lateral confinement on dynamic damage evolution during uniaxial compressive response of brittle solids. J. Mech. Phys. Solids 51 (2003) 1089-1106
19. Huang C., Subhash G., and Vitton S.J. A dynamic damage growth model for uniaxial compressive response of rock aggregates. Mech. Mater. 34 (2002) 267-277
20. Huang Y., Hu K.X., and Chandra A. A generalized self-consistent mechnaics method for microcracked solids. J. Mech. Phys. Solids 42 (1994) 1273-1291
21. Kachanov M. Elastic solids with many cracks: a simple method of analysis. Int. J. Solids Strcutures 23 (1987) 23-43
22. Kobayashi A.S. Dynamic fracture of ceramics and CMC. In: McCauley J.W., Crowson A., Gooch Jr. W.A., Rajendran A.M., Bless S.J., Logan K.V., Normandia M., and Wax S. (Eds). Ceramic Armor Materials by Design (2002), The American Ceramic Society, Westerville, OH 185-196
23. Lankford J. Mechanisms responsible for strain rate dependent compressive strength in ceramic materials. J. Am. Ceram. Soc. 64 (1981) C33-C35
24. Lankford J. High strain rate compression and plastic flow of ceramics. J. Mater. Sci. Lett. 15 (1996) 745-750
25. Nemat-Nasser S., and Deng H. Strain-rate effect on brittle failure in compression. Acta Metall. Mater. 42 (1994) 1013-1024
26. Nemat-Nasser S., and Horii H. Compression induced nonplanar crack extension with application to splitting, exfoliation and rockburst. J. Geophys. Res. 87 (1982) 6805-6821
27. Nemat-Nasser S., and Obata M. A microcrack model of dilatancy in brittle materials. Trans. ASME J. Appl. Mech. 55 (1988) 24-35
28. Paliwal B., Ramesh K.T., and McCauley J.W. Direct observation of the dynamic compressive failure of a transparent polycrystalline ceramic (AlON). J. Am. Ceram. Soc. 89 (2006) 2128-2133
29. Ravichandran G., and Subhash G. A micromechanical model for high strain rate behavior of ceramics. Int. J. Solids Struct. 32 (1995) 2627-2646
30. Rosakis A.J., and Ravichandran G. Dynamic failure mechanics. Int. J. Solids Strcut. 37 (2000) 331-348
31. Sarva S., and Nemat-Nasser S. Dynamic compressive strength of silicon carbide under unaxial compression. Mater. Sci. Eng. A 317 (2001) 140-144
32. Schulson E.M., Kuehn G.A., Jones D.A., and Fifolt D.A. The growth of wing cracks and the brittle compressive failure of ice. Acta Metall. Mater. 39 (1991) 2651-2655
33. Shao J.F., and Rudnicki J.W. A microcrack-based continuous damage model for brittle geomaterials. Mech. Mater. 32 (2000) 607-619
34. Suresh S., Nakamura T., Yeshurun Y., Yang K.-H., and Duffy J. Tensile fracture toughness of ceramic materials: effects of dynamic loading and elevated temperatures. J. Am. Ceram. Soc. 73 (1990) 2457-2466
35. Tapponnier P., and Brace W.F. Development of stress-induced microcracks in Westerly granite. Int. J. Rock Mech. Miner. Sci. 13 (1976) 103-112
36. Vekinis G., Ashby M.F., and Beaumont P.W.R. The compressive failure of alumina containing controlled distributions of flaws. Acta Metall. Mater. 39 (1991) 2583-2588
37. Wang H., and Ramesh K.T. Dynamic strength and fragmentation of hot-pressed silicon carbide under uniaxial compression. Acta Mater. 52 (2003) 355-367
38. Weerasooriya T., Moy P., and Casem D. A four-point bend technique to determine dynamic fracture toughness of ceramics. J. Am. Ceram. Soc. 89 (2006) 990-995
39. Xu X.H., Ma S.P., Xia M.F., Ke F.J., and Bai Y.L. Damage evaluation and damage localization of rock. Theor. Appl. Fract. Mech. 42 (2004) 131-138
40. Zhou F., Molinari J.-F., and Ramesh K.T. Effects of material properties on the fragmentation of brittle materials. Int. J. Fract. 139 (2006) 169-196