Upper and lower bounds for constitutive relation of crack-weakened rock masses under dynamic compressive loads

Theoretical and Applied Fracture Mechanics

Volumn 46, Issue 1, 2006, Pages 75-86

  Zhou, X P ^a  

^a CHONGQING UNIVERSITY   (China)

Author keywords

Dynamic compressive loads; The closed form explicit expression; The rate dependent constitutive relation; The strain energy density factor approach

Indexed keywords

COALESCENCE; CRACK PROPAGATION; CRACKS; CRYSTAL GROWTH; DYNAMIC LOADS; FAILURE (MECHANICAL); FRACTURE TOUGHNESS; MATHEMATICAL MODELS; NUCLEATION; ROCK MECHANICS;

CONSTITUTIVE RELATION; DENSITY FACTOR; DYNAMIC COMPRESSIVE LOADS; EXPLICIT EXPRESSION; RATE-DEPENDENT; STRAIN ENERGY;

FRACTURE MECHANICS;

COALESCENCE; CRACK PROPAGATION; CRACKS; CRYSTAL GROWTH; DYNAMIC LOADS; FAILURE (MECHANICAL); FRACTURE MECHANICS; FRACTURE TOUGHNESS; MATHEMATICAL MODELS; NUCLEATION; ROCK MECHANICS;

EID: 33746112599     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tafmec.2006.05.004     Document Type: Article

References (31)

1. Zhou X.P., Ha Q.L., Zhang Y.X., and Zhu K.S. Analysis of the deformation localization and the complete stress-strain relation for brittle rock subjected to dynamic compressive loads. Int. J. Rock Mech. Min. Sci. 41 2 (2004) 311-319
2. Janach W. The role of bulking in brittle fracture of rock under rapid compression. Int. J. Rock Mech. Min. Sci. 13 (1976) 177-186
3. Lankford J. The role of the tensile microfracture in the strain dependence of the compressive strength of fine-grained limestone analogy with strong ceramics. Int. J. Rock Mech. Min. Sci. 18 (1981) 173-175
4. 3/sec. Int. J. Rock Mech. Min. Sci. 28 1 (1991) 115-118
5. Zhao J., Li H.B., and Li T.J. Dynamic uniaxial compression tests on granite. Int. J. Rock Mech. Min. Sci. 36 2 (1999) 273-277
6. Zhang Z.X., Kou S.Q., Yu J., Yu Y., Jiang L.G., and Lindqvist P. Effects of loading rate on rock fracture. Int. J. Rock Mech. Min. Sci. 36 (1999) 597-611
7. Zhang Z.X., Kou S.Q., Jiang L.G., and Lindqvist P. Effects of loading rate on rock fracture: fracture characteristics and energy partitioning. Int. J. Rock Mech. Min. Sci. 37 (2000) 745-762
8. Zhou X.P., Zhang Y.X., Ha Q.L., and Zhu K.S. Bounds on the complete stress-strain relation for a crack-weakened rock mass under compressive loads. Int. J. Solids Struct. 41 22-23 (2004) 6173-6196
9. Zhang J.X., Wong T.F., and Davis D.M. Micromechanics of pressured-induced grain crushing in porous rocks. J. Geophys. Res. 95 B1 (1990) 341-351
10. Wong T.F. Micromechanics of faulting in Westerly granite. Int. J. Rock Mech. Min. Sci. 19 2 (1982) 49-64
11. Steif P.S. Crack extension under compressive loads. Eng. Fract. Mech. 20 3 (1984) 463-473
12. Ashby M.F., and Hallam S.D. The failure of brittle solids containing small cracks under compressive stress states. Acta Metall. 34 3 (1986) 497-510
13. Basista M., and Gross D. The sliding crack model of brittle deformation: an internal variable approach. Int. J. Solids Struct. 35 5-6 (1998) 487-509
14. Kemeny J.M. A model for nonlinear rock deformation under compression duo to sub-critical crack growth. Int. J. Rock Mech. Min. Sci. 28 6 (1991) 459-467
15. Namet-Nasser S., and Obata M. A microcrack model of dilatancy in brittle material. J. Appl. Mech. 52 1 (1988) 24-35
16. Deng H., and Nemat-Nasser S. Microcrack array in isotropic solids. Mech. Mater. 13 1 (1992) 15-36
17. Nemat-Nasser S., and Deng H. Strain-rate effect on brittle failure in compression. Acta Metall. 42 3 (1994) 1013-1024
18. Rice J.R. Inelastic constitutive relations for solids: an internal variable theory and its application to metal plasticity. J. Mech. Phys. Solids 19 6 (1971) 433-455
19. Wong R.H.C., and Chau K.T. Crack coalescence in a rock-like material containing two cracks. Int. J. Rock Mech. Min. Sci. 35 2 (1998) 147-164
20. X.P. Zhou, Study on the mechanical properties of crack-weakened rock masses subjected to loading with its application, Post-Doctor Research Report, Shanghai Jiaotong University, China, 2003 (in Chinese).
21. Nemat-Nasser S., and Horii H. Compression-induced nonplanar crack extension with application to splitting, exfoliation and rockburst. J. Geophys. Res. 87 B8 (1979) 6805-6821
22. Horii H., and Nemat-Nasser S. Brittle failure in compression: splitting, faulting and brittle-ductile transition. Phil. Trans. Roy. Soc. Lond. 319 1549 (1986) 337-374
23. Wang J., Fang J., and Karihaloo B.L. Asymptotics of multiple crack interactions and prediction of effective modulus. Int. J. Solids Struct. 37 31 (2000) 4261-4273
24. Wang J., Fang J., and Karihaloo B.L. Asymptotic bounds on overall moduli of cracked bodies. Int. J. Solids Struct. 37 43 (2000) 6221-6237
25. Tada H., Paris P.C., and Irwin G.R. Stress Analysis of Cracks Handbook (1973), Del Research Corporation, St. Louis
26. Freund L.B. Crack propagation in an elastic solid subjected to general loading, III - stress wave loading. J. Mech. Phys. Solids 21 (1973) 47-61
27. Freund L.B. Dynamic Fracture Mechanics (1990), Cambridge University Press, Cambridge
28. Cherepanov G.P. Mechanics of Brittle Fracture. (Translated by R. de Wit and W.C. Ccoley) (1979), McGraw-Hill, New York
29. Sih G.C. A special theory of crack propagation: methods of analysis and solutions of crack problems. In: Sih G.C. (Ed). Mechanics of Fracture I (1973), Noordhoof, Leyden
30. Sih G.C. Mechanics of Fracture Initiation and Propagation (1991), Kluwer Academic Publishers, Netherlands
31. Kachanov M. Effective elastic properties of cracked solids: critical review of some basic concepts. Appl. Mech. Rev. 45 (1992) 304-335