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

Zenon Szypcio

doi:10.1515/sgem-2016-0030

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

Studia Geotechnica et Mechanica

Volume 38 (2016): Issue 4 (December 2016)

By: Zenon Szypcio

Open Access

|Feb 2017

Abstract

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.

References

[1] BEEN K., JEFFERIES M., Stress-dilatancy in very loose sand, Can. Geotech. J. 2004, 41, No.5, 972-989.
Search in Google Scholar Back to article
[2] BOLTON M.D., The strength and dilatancy of sands, Geotechnique, 1986, 36, No. 1, 65-78.10.1680/geot.1986.36.1.65
Search in Google Scholar Back to article
[3] COOP M.R., The mechanics of uncemented carbonate sands, Geotechnique, 1990, 40, No. 4, 607-626.10.1680/geot.1990.40.4.607
Search in Google Scholar Back to article
[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, 1010-1019.10.1061/(ASCE)1090-0241(2003)129:11(1010)
Search in Google Scholar Back to article
[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.
Search in Google Scholar Back to article
[6] CORNFORTH D.H., Some experiments on the influence of strain condition on the strength of sand, Geotechnique, 1964, 14, No. 1, 143-167.10.1680/geot.1964.14.2.143
Search in Google Scholar Back to article
[7] COTECCHIA F., CHANDLER R.J., A general framework for the mechanical behaviour of clays, Geotechnique, 2000, 50, No. 4, 431-447.10.1680/geot.2000.50.4.431
Search in Google Scholar Back to article
[8] CUCCOVILLO T., COOP M.R., On the mechanics of structured sands, Geotechnique, 1999, 49, No. 6, 741-760.10.1680/geot.1999.49.6.741
Search in Google Scholar Back to article
[9] DE JOSSELIN DE JONG G., Rowe’s stress-dilatancy relation based on friction, Geotechnique, 1976, 26, No. 3, 527-534.10.1680/geot.1976.26.3.527
Search in Google Scholar Back to article
[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, 73-101.10.1002/nag.405
Search in Google Scholar Back to article
[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.
Search in Google Scholar Back to article
[12] GUTERREZ M., ISHIHARA K., Non-coaxiality and energy dissipation in granular materials, Soils and Foundations, 2000, 40, No. 2, 49-59.10.3208/sandf.40.2_49
Search in Google Scholar Back to article
[13] GUTIERREZ M., WANG J., Non-coaxial version of Rowe’s stressdilatancy relation, Granular Matter, 2009, 11(2), 129-137.10.1007/s10035-008-0124-0
Search in Google Scholar Back to article
[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.
Search in Google Scholar Back to article
[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, 62-78.10.1098/rspa.1965.0130
Search in Google Scholar Back to article
[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, 79-97.10.1098/rspa.1965.0131
Search in Google Scholar Back to article
[17] LI X.S., DEFALIAS Y.F., Dilatancy for cohesionless soils, Geotechnique, 2000, 50, No.4, 449-460.10.1680/geot.2000.50.4.449
Search in Google Scholar Back to article
[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, 71-82.10.3208/sandf.42.2_71
Search in Google Scholar Back to article
[19] MATSUOKA H., Dilatancy characteristics of soil, Soils & Foundations, 1974, Vol. 14, No. 3, 13-24.10.3208/sandf1972.14.3_13
Search in Google Scholar Back to article
[20] MCDOWELL G.R., A simple non-associated flow model for sand, Granular Matter, 2002, 4, No. 2, 65-69.10.1007/s10035-002-0106-6
Search in Google Scholar Back to article
[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.
Search in Google Scholar Back to article
[22] ODA M., The mechanism of fabric changes during compressional deformation of sand, Soils and Foundations, 1972, 12, No. 2, 1-18.10.3208/sandf1972.12.1
Search in Google Scholar Back to article
[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, 465-481.10.1680/geot.1998.48.4.465
Search in Google Scholar Back to article
[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.
Search in Google Scholar Back to article
[25] ROSCOE K.H., SCHOFIELD A.N., WROTH C.P., On the yielding of soils, Geotechnique, 1958, 8, No. 1, 22-53.10.1680/geot.1958.8.1.22
Search in Google Scholar Back to article
[26] ROWE P.W., The stress-dilatancy relation for static equilibrium of an assembly of particles in contact, Proc. Roy. Soc., London, A269, 1962, 500-527.10.1098/rspa.1962.0193
Search in Google Scholar Back to article
[27] SCHOFIELD A., WROTH C.P., Critical State Soil Mechanics, McGraw-Hill, New York, 1968.
Search in Google Scholar Back to article
[28] TATSUOKA F., Stress-dilatancy relations of anisotropic sands in three dimensional stress condition, Soils and Foundations, 1976, Vol. 16, No. 2, 1-18.10.3208/sandf1972.16.2_1
Search in Google Scholar Back to article
[29] TATSUOKA F., Stress-strain behaviour of an idealized anisotropic granular material, Soils and Foundations, 1980, Vol. 20, No. 3, 75-90.10.3208/sandf1972.20.3_75
Search in Google Scholar Back to article
[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, 60-81.10.3208/sandf1972.33.2_60
Search in Google Scholar Back to article
[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.
Search in Google Scholar Back to article
[32] TAYLOR D., Fundamentals of Soil Mechanics, John Wiley & Sons, New York, 1948.10.1097/00010694-194808000-00008
Search in Google Scholar Back to article
[33] WANATOWSKI D., Strain softening and instability of sand. Experimental study under plane-strain conditions, VDM Verlag, 2009.10.1061/41101(374)5
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.1515/sgem-2016-0030 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365

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Language: English

Page range: 51 - 57

Published on: Feb 8, 2017

Published by: Wroclaw University of Science and Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

soils,

dilatancy,

critical state,

frictional state,

critical frictional state

Related subjects:

Physics,

Mechanics and fluid dynamics

© 2017 Zenon Szypcio, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 38 (2016): Issue 4 (December 2016)