Brittle-ductile transition in porous rocks by cap model

Journal of Engineering Mechanics

Volumn 122, Issue 7, 1996, Pages 633-642

  Lubarda, Vlado A ^a   Mastilovic, Sreten ^a   Knap, Jaroslaw ^a  

^a Arizona State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLE/DUCTILE TRANSITION; CAP MODEL; POROUS ROCK;

EID: 0030404394     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(1996)122:7(633)     Document Type: Article

References (61)

1. Ashby, M. F., and Sammis, C. G. (1990). "The damage mechanics of brittle solids in compression." Pure and Applied Geophys., 133(3), 489-521.
2. Bathe, K. J., Snyder, M. D., Cimento, A. P., and Rolph, W. D. (1980). "On some current procedures and difficulties in finite element analysis of elastic-plastic response." Comp. and Struct., 12, 607-624.
3. Bažant, Z. P., and Kim, S. S. (1979). "Plastic-fracturing theory for concrete." J. Engrg. Mech., ASCE, 105(3), 407-428.
4. Bresler, B., and Pister, K. S. (1958). "Strength of concrete under combined stresses." ACI J., 30(3), 321-345.
5. Chandler, H. W. (1985). "A plasticity theory without Drucker's postulate, suitable for granular materials." J. Mech. and Phys. of Solids, 33(3), 215-226.
6. Chen, W. F., and Han, D. J. (1988). Plasticity for structural engineers. Springer-Verlag, New York, N.Y.
7. Desai, C. S. (1980). "A general basis for yield, failure and potential functions in plasticity." Int. J. Numer. and Analytical Methods in Geomech., 4, 361-375.
8. Desai, C. S., and Siriwandane, H. J. (1984). Constitutive laws for engineering materials. Prentice-Hall, Englewood Cliffs, N.J.
9. Desai, C. S., Somasundaram, S., and Frantziskonis, G. (1986). "A hierarchical approach for constitutive modeling of geologic materials." Int. J. Numer. and Analytical Methods in Geomech., 10(3), 225-257.
10. Desai, C. S., and Varadarajan, A. (1987). "A constitutive model for quasistatic behavior of rock salt." J. Geophys. Research, 92(B11), 11,445-11,456.
11. DiMaggio, F. L., and Sandler, I. S. (1971). "Material model for granular soils." J. Engrg. Mech., ASCE, 97(3), 935-950.
12. Dougill, Y. W. (1975). "Some remarks on path independence in the small in plasticity." Quarterly of Appl. Math., 33, 233-243.
13. Dougill, Y. W. (1983). "Path dependence and a general theory for the progressively fracturing solid." Proc., Royal Soc., London, England, A 390, 341-351.
14. Dougill, Y. W., and Rida, M. A. M. (1980). "Further consideration of progressively fracturing solids." J. Engrg. Mech., ASCE, 106(5), 1021-1038.
15. Dragon, A., and Mróz, Z. (1979). "A continuum model for plastic brittle behavior of rock and concrete." Int. J. Engrg. Sci., 17, 121-137.
16. Drucker, D. C., Gibson, R. E., and Hankel, D. J. (1957). "Soil mechanics and work-hardening theories of plasticity." Trans., ASCE, 122, 338-346.
17. Drucker, D. C., and Prager, W. (1952). "Soil mechanics and plastic analysis or limit design." Quarterly of Appl. Math., 10, 157-175.
18. Evans, B., Fredrich, J. T., and Wong, T.-F. (1990). "The brittle-ductile transition in rocks: Recent experimental and theoretical progress." The brittle-ductile transition in rocks, The Heard Volume, Geophys. Monograph Ser., Vol. 56, A. G. Duba et al., eds., Am. Geophys. Union (AGU), Washington, D.C., 1-20.
19. Frantziskonis, G., Desai, C. S., and Somasundaram, S. (1986). "Constitutive model for nonassociative behavior." J. Engrg. Mech., ASCE, 112(9), 932-946.
20. Fredrich, J. T., Evans, B., and Wong, T.-S. (1989). "Micromechanics of the brittle to plastic transition in Carrara marble." J. Geophys. Res., 94(B4), 4129-4145.
21. Green, M. L. (1992). Laboratory tests on Salem limestone. Geomechanics Div., Struct. Lab., Dept. of the Army, Vicksburg, Miss.
22. Han, D. J., and Chen, W. F. (1985). "A uniform hardening plasticity model for concrete materials." Mech. of Materials, 4, 283-302.
23. Hegemier, G. A., and Reed, H. E. (1985). "On deformation and failure of brittle solids: some outstanding issues." Mech. of Materials, 4, 215-260.
24. Hirth, G., and Tullis, J. (1989). "The effects of pressure and porosity on the micromechanics of the brittle-ductile transition in quartzite." J. Geophys. Res., 94(B12), 17,825-17,838.
25. Horii, H., and Nemat-Nasser, S. (1986). "Brittle failure in compression: splitting, faulting and brittle-ductile transition." Phil. Trans., Royal Soc., London, England, A 319, 337-374.
26. Jaeger, J. C., and Cook, N. G. W. (1976). Fundamentals of rock mechanics. Chapman and Hall, London, England.
27. Ju, J. W. (1989). "On energy based coupled elastoplastic damage theories: constitutive modeling and computational aspects." Int. J. Solids and Struct., 25(7), 803-833.
28. Kim, M. K., and Lade, P. V. (1984). "Modeling rock strength in three dimensions." Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 31, 21-33.
29. Kranz, R. L. (1983). "Microcracks in rocks: A review." Tectonophysics, 100, 449-480.
30. Lade, P. V. (1977). "Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces." int. J. Solids and Struct., 13, 1019-1035.
31. Lade, P. V., and Duncan, J. M. (1975). "Elastoplastic stress-strain theory for cohesionless soil." J. Geotech. Engrg., ASCE, 101(10), 1037-1053.
32. Lubarda, V. A. (1994). "An analysis of large-strain damage elastoplasticity." Int. J. Solids and Struct., 31(21), 2951-2964.
33. Lubarda, V. A., and Krajcinovic, D. (1995a). "Constitutive structure of the rate theory of damage in brittle elastic solids." Appl. Math. Comp., 67, 81-101.
34. Lubarda, V. A., and Krajcinovic, D. (1995b). "Some fundamental issues in the rate theory of damage-elastoplasticity." Int. J. Plasticity, 11(7), 763-797.
35. Lubarda, V. A., Krajcinovic, D., and Mastilovic, S. (1995). "Rate theory of damage in elastic solids with unequal tensile and compressive strengths." Engrg. Fracture Mech., 49(5), 681-697.
36. Lubarda, V. A., Mastilovic, S., and Knap, J. (1996). "Some comments on plasticity postulates and non-associative flow rules." Int. J. Mech. Sci., 38(3), 247-258.
37. Nemat-Nasser, S. (1983). "On finite plastic flow of crystalline solids and geomaterials." J. Appl. Mech., 50, 1114-1126.
38. Nemat-Nasser, S., and Hori, M. (1993). Micromechanics - overall properties of heterogeneous solids. North-Holland, Amsterdam, The Netherlands.
39. Nemat-Nasser, S., and Shokooh, A. (1980). "On finite plastic flows of compressible materials with internal friction." Int. J. Solids and Struct., 16(6), 495-514.
40. Ortiz, M. (1985). "A constitutive theory for the inelastic behavior of concrete." Mech. of Materials, 4, 67-93.
41. Paterson, M. S. (1978). Experimental rock deformation - The brittle field, Springer-Verlag, New York, N. Y.
42. Prevost, J. H., and Höeg, K. (1975). "Effective stress-strain-strength model for soils." J. Geotech. Engrg., ASCE, 101(3), 259-278.
43. Read, H. E., and Hegemier, G. A. (1984). "Strain softening of rock, soil and concrete - a review article." Mech. of Materials, 3, 271-294.
44. Resende, L., and Martin, J. B. (1985). "Formulation of Drucker-Prager cap model." J. Engrg. Mech., ASCE, 111(7), 855-881.
45. Rudnicki, J. W., and Rice, J. R. (1975). "Conditions for localization of deformation in pressure-sensitive dilatant materials." J. Mech. and Phys. Solids, 23, 371-394.
46. Rutter, E. H., and Hadizadeh, J. (1991). "On the influence of porosity on the low-temperature brittle-ductile transition in siliciclastic rocks." J. Struct. Geol., 13, 609-614.
47. Sammis, C. G., and Ashby, M. F. (1986). "The failure of brittle porous solids under compressive stress states." Acta Metall., 34(3), 511-526.
48. Sandler, I. S., DiMaggio, F. L., and Baladi, G. Y. (1976). "Generalized cap model for geological materials." J. Geotech. Engrg., ASCE, 102(7), 638-699.
49. Sandler, I. S., and Rubin, D. (1979). "An algorithm and a modular subroutine for the cap model." Int. J. Numer. and Analytical Methods in Geomech., 3. 173-186.
50. Senseny, P. E., Fossum, A. F., and Pfeifle, T. W. (1983). "Non-associative constitutive laws for low porosity rocks." Int. J. Numer. and Analytical Methods in Geomech., 7, 101-115.
51. Simo, J. C., and Ju, J. W. (1987). "Strain- and stress-based continuum damage models - I. Formulation." Int. J. Solids and Struct., 23(7), 821-840.
52. Simo, J. C., Ju, J. W., Pister, K. S., and Taylor, R. L. (1987). "Assessment of cap model: consistent return algorithms and rate-dependent extension." J. Engrg. Mech., ASCE, 114(2), 191-218.
53. Wolfram, S. (1991). Mathematica - A system for doing mathematics by computer. Addison-Wesley, New York, N.Y.
54. Wong, T.-F. (1990). "Mechanical compaction and the brittle-ductile transition in porous sandstones." Deformation mechanisms, rheology and tectonics, R. J. Knipe and E. H. Rutter, eds., Spec. Publ. No. 54, Geological Soc., London, England, 111-122.
55. Wong, T.-F., Szeto, H., and Zhang, J. (1992). "Effect of loading path and porosity on the failure mode of porous rocks." Appl. Mech. Rev., 45, 281-293.
56. Xiang, Y., Huang, S., and Khan, A. S. (1991). "Elastic-plastic behavior of high porosity rock." Anisotropy and localization of plastic deformation, J.-P. Boehler and A. S. Khan, eds., Elsevier Applied Science, New York, N.Y, 270-273.
57. Yazdani, S., and Schreyer, H. L. (1989). "Combined plasticity and damage mechanics model for plane concrete." J. Engrg. Mech., 116(7), 1435-1450.
58. Zaman, M. M., Desai, C. S., and Faruque, M. O. (1982). "An algorithm for determining parameters for cap model from raw laboratory test data." Proc., 4th Int. Conf. Numer. Methods in Geomech., B. Eisenstein, ed., Vol. 1, A. A. Balkema, Rotterdam, The Netherlands, 275-285.
59. Zhang, J., Wong, T.-F., and Davis, D. M. (1989). "The brittle to ductile transition in porous sandstones." Trans., Am. Geophysical Union, 70, 1360-1368.
60. Zhang, J., Wong, T.-F., and Davis, D. M. (1990). "Micromechanics of pressure-induced grain crushing in porous rocks." J. Geophys. Res., 95(B1), 341-352.
61. Zheng, Z., McLennan, J., and Martin, W. (1991). "Compressive stress-induced microcracks and effective elastic properties of limestone and concrete." Final Tech. Rep., Submitted to AFOSR/XOT, Terra Tek, Inc., Salt Lake City, Utah.