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Aug 6, 2010

General Strength Criterion for Geomaterials Including Anisotropic Effect

Publication: International Journal of Geomechanics
Volume 11, Issue 3

Abstract

The strengths of geomaterials and their variation under different factors are investigated in this paper. First, a general isotropic variation of a strength criterion is proposed for describing the critical state and peak strengths of geomaterials. Second, the proposed criterion is extended to describe the effect of anisotropy on the peak strength. After an analysis of experimental data, the hypothesis is made that the failure of an element of geomaterial generally occurs in a particular plane when the applied shear stress in that plane reaches the shear resistance of the material. Therefore, the variation of the peak strength of anisotropic materials should be described in terms of the stress tensor applied, a vector parameter defining the position of the potential failure plane of the material, and the material properties. A general failure criterion for geomaterials with cross anisotropy is obtained then from the proposed isotropic strength criterion. The proposed criterion is demonstrated to well represent both the isotropic and anisotropic strengths of various geomaterials. Finally, a general anisotropic criterion is introduced.

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Acknowledgments

The writers would like to express their thanks to Professors Carter J. P. and Khalili N. for the useful discussions and help preparing this paper. ARCDiscovery Grants from the Australian Research Council in partial support of this work are also acknowledged.

References

Arthur, J. R. F. (1988). “Cubical devices: Versatility and constraints.” Advanced Triaxial Testing of Soils and Rocks, ASTM/STP977, Donaghe et al., eds., West Conshohocken, PA, 743–765.
Augustesen, A., Liingaard, M., and Lade, P. V. (2004). “Evaluation of time-dependent behaviour of soils.” Int. J. Geomech., 4(3), 137–156.
Baker, R., and Desai, C. S. (1984). “Induced anisotropy during plastic softening.” Int. J. Numer. Anal. Methods Geomech., 8(2), 167–185.
Baltov, A. and Sawczuk, A. (1965). “A rule for anisotropic hardening.” Acta Mech., 1(2), 81–92.
Been, K., and Jefferies, M. G. (1985). “A state parameter for sands.” Géotechnique, 35(2), 99–112.
Bolton, M. (1986). “The strength and dilatancy of sands.” Géotechnique, 36(1), 65–78.
Callisto, L., and Calabresi, G. (1998). “Mechanical behaviour of a natural soft clay.” Géotechnique, 48(4), 495–513.
Cassagrande, A., and Carrillo, N. (1944). “Shear failure of anisotropic soils.” J. Boston Soc. Civ. Eng., 31, 74–87.
Clough, G. W., Sitar, N., Bachus, R. C., and Nad, N. S. (1981). “Cemented sands under static loading.” J. Geotech. Engrg., 107, 799–817.
Dafalias, Y. F., and Manzari, M. T. (2004). “Simple plasticity sand model accounting for fabric change effects.” J. Eng. Mech., 130(6), 622–634.
Desai, C. S. (1974). “A consistent finite element technique for work-softening behaviour.” Proc., Int. Conf. on Computational Methods in Nonlinear Mechanics, J. Oden et al., eds., Springer, New York.
Desai, C. S. (2001). Mechanics of materials and interfaces: The disturbed state concept, CRC, Boca Raton, FL.
Desai, C. S. (2005). “Constitutive modeling for geologic materials: Significance and directions.” Int. J. Geomech., 5(2), 81–84.
Gajo, A. and Muir-Wood, D. (1999). “A kinematic hardening constitutive model for sands: The multiaxial formulation.” Int. J. Numer. Anal. Methods Geomech., 23(9), 925–964.
Haruyama, M. (1981). “Anisotropic deformation-strength properties of an assembly of spherical particles under three dimensional stresses.” Soils Found., 21(4), 41–55.
Heyman, J. (1972). Coulomb’s memoir on statics, Cambridge Univ. Press, Cambridge, UK.
Hoek, E. (1983). “Strength of jointed rock masses.” Géotechnique, 33(3), 187–223.
Horpibulsuk, S., Liu, M. D., Liyanapathirana, S., and Suebsook, J. (2010). “Behaviour of cemented clay simulated via the theoretical framework of the SCC model.” Comput. Geotech., 37(1), 1–9.
Indraratna, B. (1993). “Engineering properties of a clay shale with particular reference to construction problems.” Proc., Int. Symp. on Geotechnical Engineering on Hard Soils and Soft Rocks, Taylor and Francis, London, 561–568.
Indraratna, B., Jayanathan, M., and Brown, E. T. (2008). “Shear strength model for overconsolidated clay-infilled idealised rock joints.” Géotechnique, 58(1), 55–65.
Indraratna, B., Welideniya, H. S., and Brown, E. T. (2005). “A shear model for idealised infilled joints under constant normal stiffness.” Géotechnique, 55(3), 215–226.
Jamiolkowski, M., Ladd, C. C., and Lancellotta, R. (1985). “New developments in field and laboratory testing of soils.” Proc., 11th Int. Conf. Soil Mechanics and Foundation Engineering, Vol. 1, CRC, Boca Raton, FL, 57–153.
Khalili, N., and Khabbaz, M. H. (1998). “A unique relationship for χ for shear strength determination of unsaturated soils.” Géotechnique, 48(5), 681–688.
Khalili, N., and Liu, M. D. (2008). “On generalisation of constitutive models from two dimensions to three dimensions.” Int. J. Numer. Anal. Methods Geomech., 32(17), 2045–2065.
Kirkgard, M. M., and Lade, P. V. (1993). “Anisotropic three-dimensional behaviour of a normally consolidated clay.” Can. Geotech. J., 30(5), 848–858.
Ladd, C. C., Foott, R., Ishihara, K., Schlosser, F., and Poulos, H. G. (1977). “Stress-deformation and strength characteristics.” Proc., 9th Int. Conf. Soil Mechanics and Foundation Engineering, Vol. 2, Springer, Berlin, 421–494.
Lade, P. V. (1977). “Elastoplastic stress-strain theory for cohesionless soil with curved yield surfaces.” Int. J. Solids Struct., 13(11), 1019–1035.
Lade, P. V., and Musante, H. M. (1978). “Three-dimensional behaviour of remoulded clay.” J. Geotech. Engrg., 104(2), 193–209.
Lam, W. K., and Tatsuoka, F. (1988). “Effects of initial anisotropic fabric and σ2 on strength and deformation characteristics of sand.” Soils Found., 28(1), 89–106.
Lav, M. A., Carter, J. P., and Booker, J. R. (1996). “The bearing capacity of clays weakened by fissures.” Proc., 7th Australia New Zealand Conf. on Geomechanics, Institution of Engineers, Canberra, Australia, 489–494.
Leroueil, S. (2002). “Well known aspects of soil behaviour so often neglected.” Proc., 16th Annual Vancouver Geotechnical Society Symp., Vancouver, BC, Canada, 2–17.
Lewin, B. M., and Allman, M. A. (1992). “Three dimensional tests on reconstituted Bothennar clay.” Predictive soil mechanics, Houlsby et al., eds., Thomas Telford, New York, 318–329.
Li, X. S., and Dafalias, Y. F. (2004). “A constitutive framework for anisotropic sand including non-proportional loading.” Géotechnique, 54(1), 41–56.
Liu, M. D., and Carter, J. P. (2002). “Structured cam clay model.” Can. Geotech. J., 39(6), 1313–1332.
Liu, M. D., and Carter, J. P. (2003a). “A general strength criterion for geo-materials.” Int. J. Geomech., 3(3–4), 253–259.
Liu, M. D., and Carter, J. P. (2003b). “The volumetric deformation of natural clays.” Int. J. Geomech., 3(3–4), 236–252.
Liu, M. D., Carter, J. P., and Desai, C. S. (2003). “Modelling the compression behaviour of geo-materials.” Int. J. Geomech., 3(3–4), 191–204.
Liu, M. D., and Khalili, N. (2007). “A general three dimensional bounding surface model for sand.” Proc., 10th Australia New Zealand Conf. on Geomechanics, Australian Geomechanics Society, St. Ives, Australia.
Matsuoka, H., and Nakai, T. (1982). “A new failure criterion for soils in three dimensional stress.” Proc., Conf. on Deformation and Failure of Granular Materials, A. Delft et al., eds., Balkema, Rotterdam, The Netherlands, 253–263.
Mitchell, J. K. (1976). Fundamentals of soil behaviour, Wiley, New York.
Mogi, K. (1971). “Failure and flow of rocks under high triaxial compression.” J. Geophys. Res., 76(5), 1255–1269.
Muir-Wood, D., Belkheir, K., and Liu, D. F. (1994). “Strain softening and state parameter for sand modelling.” Géotechnique, 44(2), 335–339.
Novello, E., and Johnston, I. W. (1995). “Geotechnical materials and the critical state.” Géotechnique, 45(2), 223–235.
Oda, M., Koishikawa, I., and Higuchi, T. (1978). “Experimental study of anisotropic shear strength of sand by plane strain test.” Soils Found., 18(1), 25–38.
Oda, M., and Nakayama, H. (1988). “Introduction to inherent anisotropy of soils in the yield function.” Micromechanics of granular materials, M. Satake and J. Jenkins, eds., Elsevier Science, Amsterdam, The Netherlands, 81–90.
Park, C. S., and Tatsuoka, F. (1994). “Anisotropic strength and deformation in sands in plane strain compression.” Proc., 13th Int. Conf. on Soil Mechanics and Foundation Engineering, Vol. 1, CRC, Boca Raton, FL, 1–4.
Pietruszczak, S. and Mroz, Z. (2001). “On failure for anisotropic cohesive-frictional materials.” Int. J. Numer. Anal. Methods Geomech., 25(5), 509–524.
Reddy, K. R. and Saxena, K. (1993). “Effects of cementation on stress-strain and strength characteristics of sands.” Soils Found., 33(4), 121–134.
Schofield, A. N., and Wroth, C. P. (1968). Critical state soil mechanics, MacGraw-Hill, London.
Sheng, D., Sloan, S. W., and Yu, H. S. (2000). “Aspects of finite element implementation of critical state models.” Comput. Mech. Adv., 26(2), 185–196.
Shibuya, S., Hight, D. W., and Jardine, R. J. (2003). “Four dimensional local boundary surfaces of an isotropically consolidated loose sand.” Soils Found., 43(2), 89–103.
Skempton, A. W. (1985). “Residual strength of clays in landslides, folded strata and the laboratory.” Géotechnique, 35(1), 3–18.
Silvestri, V., Young, R. N., and Mohamed, A. H. O. (1988). “A true triaxial testing cell.” Advanced testing of soil and rock, R. Donaghe et al., eds., ASTM Int., West Conshohocken, PA, 819–833.
Thorne, C. P. (1984). “Strength assessment and stability analyses for fissured clays.” Géotechnique, 34(3), 305–322.
Voyiadjis, G. Z., and Foroozesh, M. (1990). “Anisotropic distortional yield model.” J. Appl. Mech., 57(3), 537–547.
Ward, W. H., Marsland, A., and Samuels, E. (1965). “Properties of the London clay at the Ashford Common shaft: In-situ and undrained strength tests.” Géotechnique, 15(4), 321–344.
Wong, R. C. S., and Arthur, J. R. F. (1986). “Induced and inherent anisotropy.” Géotechnique, 36(4), 471–481.
Yamamuro, J. A., and Kaliakin, V. N., eds. (2005). “Soil constitutive models: Evaluation, selection, and calibration.” Geotechnical Special Publication No. 128, ASCE, Reston, VA.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 11Issue 3June 2011
Pages: 251 - 262

History

Received: Aug 3, 2009
Accepted: Aug 4, 2010
Published online: Aug 6, 2010
Published in print: Jun 1, 2011

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Authors

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Martin D. Liu, M.ASCE [email protected]
Faculty of Engineering, Univ. of Wollongong, NSW 2522, Australia (corresponding author). E-mail: [email protected]
Buddhima N. Indraratna, M.ASCE [email protected]
Faculty of Engineering, Univ. of Wollongong, NSW 2522, Australia, E-mail: [email protected]

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