Stress-Dilatancy for Soils. Part I: The Frictional State Theory

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An unconventional subdivision of volumetric strains, the newly formulated frictional and critical frictional states and some of energetic and stress condition assumptions result in new stress-plastic dilatancy relationships. These new stress-plastic dilatancy relationships are functions of the deformation mode and drainage conditions. The critical frictional state presented in this paper is a special case of the classical critical state.

[1] BEEN K., JEFFERIES M., Stress-dilatancy in very loose sand, Can. Geotech. J. 2004, 41, No.5, 972-989.

[2] BOLTON M.D., The strength and dilatancy of sands, Geotechnique, 1986, 36, No. 1, 65-78.

[3] COOP M.R., The mechanics of uncemented carbonate sands, Geotechnique, 1990, 40, No. 4, 607-626.

[4] COOP M.R., WILSON S.M., Behaviour of Hydrocarbon Reservoir Sands and Sandstones, International Journal of Geotechnical and Geoenvironmental Engineering, 2003, 129, No. 11, 1010-1019.

[5] COOP M.R., On the mechanics of reconstituted and natural sands, [in:] Di Benedetto et al. (eds.), Deformation Characteristics of Geomaterials, Taylor & Francis Group PLC, London, UK, 2005.

[6] CORNFORTH D.H., Some experiments on the influence of strain condition on the strength of sand, Geotechnique, 1964, 14, No. 1, 143-167.

[7] COTECCHIA F., CHANDLER R.J., A general framework for the mechanical behaviour of clays, Geotechnique, 2000, 50, No. 4, 431-447.

[8] CUCCOVILLO T., COOP M.R., On the mechanics of structured sands, Geotechnique, 1999, 49, No. 6, 741-760.

[9] DE JOSSELIN DE JONG G., Rowe’s stress-dilatancy relation based on friction, Geotechnique, 1976, 26, No. 3, 527-534.

[10] DESIMONE A., TAMAGNINI C., Stress-dilatancy based modelling of granular materials and extension to soils with crushable grains, Int. J. Numer. Anal. Meth. Geomech., 2005, 29, 73-101.

[11] FONSECA J., The evolution of morphology and fabric of a sand during shearing, PhD Thesis. Depart. of Civil and Env. Eng. Imperial College, London, UK, 2011.

[12] GUTERREZ M., ISHIHARA K., Non-coaxiality and energy dissipation in granular materials, Soils and Foundations, 2000, 40, No. 2, 49-59.

[13] GUTIERREZ M., WANG J., Non-coaxial version of Rowe’s stressdilatancy relation, Granular Matter, 2009, 11(2), 129-137.

[14] HASSANLOURAD M., SELEHZADEH H., SHAHNAZARI H., Dilation and particle breakage effects on the shear strength of calcareous sands based on energy aspects, Int. J. Civil Eng., 2008, 6, No. 2, 108-119.

[15] HORNE M.R., The Behaviour of an Assembly of Rotund, Rigid, Cohesionless Particles I, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1965a, Vol. 286, No. 1404, 62-78.

[16] HORNE M.R., The Behaviour of an Assembly of Rotund, Rigid, Cohesionless Particles II, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1965b, Vol. 286, No. 1404, 79-97.

[17] LI X.S., DEFALIAS Y.F., Dilatancy for cohesionless soils, Geotechnique, 2000, 50, No.4, 449-460.

[18] LUZZANI L., COOP M.R., On the relationship between particle breakage and the critical state of sands, Soils and Foundations, 2002, 42, No. 2, 71-82.

[19] MATSUOKA H., Dilatancy characteristics of soil, Soils & Foundations, 1974, Vol. 14, No. 3, 13-24.

[20] MCDOWELL G.R., A simple non-associated flow model for sand, Granular Matter, 2002, 4, No. 2, 65-69.

[21] NOVA R., A constitutive model for soil under monotonic and cyclic loading, [in:] G.N. Pande, O.C. Zienkiewicz (eds.), Soil Mechanics: Transient and Cyclic Loads, John Wiley and Sons, New York, 1982, 343-373.

[22] ODA M., The mechanism of fabric changes during compressional deformation of sand, Soils and Foundations, 1972, 12, No. 2, 1-18.

[23] ODA M., KAZAMA H., Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils, Geotechnique, 1993, 48, No. 4, 465-481.

[24] ROSCOE K.H., BURLAND I.B., On the generalised stressstrain behaviour of wet clay, [in:] Engineering Plasticity, J. Heyman and F.A. Leckie (eds.), 1968, 535-609.

[25] ROSCOE K.H., SCHOFIELD A.N., WROTH C.P., On the yielding of soils, Geotechnique, 1958, 8, No. 1, 22-53.

[26] ROWE P.W., The stress-dilatancy relation for static equilibrium of an assembly of particles in contact, Proc. Roy. Soc., London, A269, 1962, 500-527.

[27] SCHOFIELD A., WROTH C.P., Critical State Soil Mechanics, McGraw-Hill, New York, 1968.

[28] TATSUOKA F., Stress-dilatancy relations of anisotropic sands in three dimensional stress condition, Soils and Foundations, 1976, Vol. 16, No. 2, 1-18.

[29] TATSUOKA F., Stress-strain behaviour of an idealized anisotropic granular material, Soils and Foundations, 1980, Vol. 20, No. 3, 75-90.

[30] TATSUOKA F., SIDDIQUEE M.S.A., PARK CH.-S., SAKAMOTO M., ABE F., Modelling stress-strain relations of sand, Soils and Foundations, 1993, Vol. 33, No. 2, 60-81.

[31] TATSUOKA F., Laboratory stress-strain tests for developments in geomechanical engineering research and practice, Int. Symposium on Deformation Characteristics of Geomaterials, Seoul, Korea, 2011.

[32] TAYLOR D., Fundamentals of Soil Mechanics, John Wiley & Sons, New York, 1948.

[33] WANATOWSKI D., Strain softening and instability of sand. Experimental study under plane-strain conditions, VDM Verlag, 2009.

Studia Geotechnica et Mechanica

The Journal of Wrocław University of Science and Technology and AGH University of Science and Technology

Journal Information

CiteScore 2017: 0.14

SCImago Journal Rank (SJR) 2017: 0.131
Source Normalized Impact per Paper (SNIP) 2017: 0.448

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