Stress-Dilatancy for Soils. Part IV: Experimental Validation for Simple Shear Conditions

Open access


This paper validates the frictional state theory using published experimental data from simple, direct and ring shear tests. Simple shear is treated as a special case of plane strain conditions. In order to define complete stress and strain, additional assumptions are made: in the direct shear and ring shear tests, simple shear is assumed to occur in the shear band. For Φo = Φ′cv = Φ′r, the stress-dilatancy relationship obtained from the frictional state theory is similar to the relationships proposed by Taylor and Bolton. Further experiments, especially those that use a hollow cylindrical shear apparatus, are necessary to fully validate the frictional state theory in simple shear conditions.

If the inline PDF is not rendering correctly, you can download the PDF file here.

  • [1] ATKINSON J.H. LAN W.H.W. POWELL J.J.M. Measurement of soil strength in simple shear tests Can. Geotech. J. 1991 28 255-262.

  • [2] BARDET J.P. PROUBET J. A Numerical Investigation of the Structure of Persistent Shear Bands in Granular Media Geotechnique 1991 41 No. 4 599-613.

  • [3] BAREITHER C.A. BENSON C.H. EDIL T.B. Reproducibility of direct shear tests conducted on granular backfill materials Geot. Test. J. 2007 Vol. 31 No. 1 84-94.

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

  • [5] BUDHU M. Simple shear deformation of sands Ph.D. thesis University of Cambridge 1975.

  • [6] CERATO A.B. LUTENEGGER A.L. Specimen size and scale effects of direct shear box tests of sands Geotechnical Testing Journal 2006 Vol. 29 No. 6 1-10.

  • [7] COLE E.R. The behaviour of soils in the simple shear apparatus. Ph.D. thesis University of Cambridge 1967.

  • [8] CUI L. O’SULLIVAN C. Exploiting the macro-and-microscale response of an idealised granular material in the direct shear apparatus Geotechnique 2006 56 No. 7 455-468.

  • [9] GUTIERREZ M. WANG J. Non-coaxial version of Rowe’s stress-dilatancy relation Granular Matter. 11 129-137.

  • [10] HOSONO Y. YOSHIMINE M. Liquafaction of sand in simple shear condition. Cyclic Behaviour of Soils and Liquafaction Phenomena Triantafyllidis T. (ed.) Balkema Rotterdam 2004.

  • [11] HOSONO Y. YOSHIMINE M. Liquafaction of sand in simple shear condition Proc. of Int. Conf. on Cyclic Behaviour of Soils and Liquafaction Phenomena Bohun Germany March 31th-April 2nd 2004.

  • [12] HONG NAM N. KOSEKI J. Modelling quasi-elastic deformation properties of sand Deformation Characteristics of Geomaterials IS - Lyon 2003 275-283.

  • [13] JEWELL R.A. WROTH C.P. Direct shear tests on reinforced sand Geotechnique 1987 37 No. 1 53-68.

  • [14] LIKOS W.J. WAYLLACE A. GODT J. LU N. Modified Direct Shear Apparatus for Unsaturated Sands at Low Suction and Stress Geotechnical Testing Journal 2010 33 No. 4 286-298.

  • [15] LINGS M.L. DIETZ M.S. An improved direct shear apparatus for sand Geotechnique 2004 54 No. 4 245-256.

  • [16] LOPEZ-QUEROL S. COOP M.R. Drained cyclic behaviour of loose Dog’s Bay sand Geotechnique 2012 62 No. 4 281-289.

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

  • [18] MILATZ M. GRABE J. A new simple shear apparatus and testing method for unsaturated sands. Geotech. Testing J. 2015 Vol. 38 No. 1 9-22.

  • [19] MEEHAN C.L. BRANDON T.L. DUNCAN J.M. Measuring Drained Residual Strengths in the Bromhead Ring Shear Geotechnical Testing Journal 2007 30 No. 6 466-473.

  • [20] OCHIAI H. Stress condition within simple shear test specimen Reports of the Faculty of Engineering Nagasaki University No. 12 February 1979 57-63.

  • [21] ODA M. On stress-dilatancy relation of sand in simple shear test Soils and Foundations 1975 Vol. 15 No. 2 17-29.

  • [22] PALMEIRA E.M. MILLIGAN G.W.E. Scale Effects in Direct Shear Tests on Sand Proc. of the 12th ICSMGE 1989 Vol. 1 No. 1 739-742.

  • [23] POTTS D.M. DOUNIAS G.T. VAUGHAN P.R. Finite element analysis of the direct shear box test Geotechnique 1987 Vol. 37 No. 1 11-23.

  • [24] QIU Y.-Y. TATSUOKA F. UCHIMURA T. Constant Pressure and constant volume direct shear tests on reinforced sand Soil and Foundations 2000 40 No. 4 1-17.

  • [25] SASSA K. WANG G. FUKUAKA H. Performing Undrained Shear Tests on Saturated Sands in a New Intelligent Type of Ring Shear Apparatus Geotechnical Testing Journal 2003 26 No. 3 257-265.

  • [26] SCARPELLI G. WOOD D.M. Experimental observations of shear band patterns in direct shear tests IUTAM Conference on Deformation and Failure of Granular Materials. Delft/31-Aug.-3 Sept. 1982 473-484.

  • [27] SHIBUYA S. KOSEKI J. KAWAGUCHI T. Recent developments in deformation and strength testing of geomaterials Deformation Characteristics of Geomaterials. Di Benedetto et al. (eds.) Taylor & Francis Group London 2005 3-28.

  • [28] SHIBUYA S. MITACHI T. TAMATE S. Interpretation of direct shear box testing of sands as quasi-simple shear Geotechnique 1997 47 No. 4 769-790.

  • [29] SHIPTON B. COOP M.R. On the compression behaviour of reconstituted soils Soils and Foundations 2012 52 No. 4 668-681.

  • [30] SMOLTCZYK U. ed. Geotechnical Engineering Handbook. Vol. 1: Fundamentals Ernest & Sohn. A Wiley Company Berlin 2002.

  • [31] SZYPCIO Z. Stress-dilatancy for soils. Part I: The frictional state theory Studia Geotechnica et Mechanica 2016 Vol. 38 No. 4 51-57.

  • [32] SZYPCIO Z. Stress-dilatancy for soils. Part II: Experimental validation for triaxial tests Studia Geotechnica et Mechanica 2016 Vol. 38 No. 4 59-65.

  • [33] SZYPCIO Z. Stress-dilatancy for soils. Part III: Experimental validation for the biaxial conditions Studia Geotechnica et Mechanica 2017 Vol. 39 No. 1 73-80.

  • [34] TANG Y.X. HANZAWA H. YASUHARA K. Direct shear and direct simple shear tests results on Japanese marine clay Pre-failure Deformation of Geomaterials. Balkema Rotterdam 1995 107-112.

  • [35] TAYLOR D.W. Fundamentals of Soil Mechanics John Wiley & Sons New York 1948.

  • [36] TAYLOR D.W. A direct test with drainage control Symp. on Direct Shear Testing of Soils ASTM Special Techn. Publ. 1952 No. 131 63-74.

  • [37] WIJEWICKREME D. DABEET A. BYRNE P. Some Observations on the State of Stress in the Direct Simple Shear Test Using Discrete Element Analysis Geotechnical Testing Journal 2013 36 No. 2 292-298.

  • [38] WOOD D.M. Soil behaviour and critical state soil mechanics Cambridge University Press 1990.

  • [39] WU P.-K. MATSUSHIMA K. TATSUOKA F. Effects of Specimen Size and Some Other Factors on the Strength and Deformation of Granular Soil in Direct Shear Tests Geotechnical Testing Journal 2008 31 No. 1 45-64.

  • [40] YAN W.M. Particle Elongation and Deposition Effect to Macroscopic and Microscopic Responses of Numerical Direct Shear Tests Geotechnical Testing Journal 2010 34 No. 3 238-249.

Journal information
Impact Factor

CiteScore 2018: 1.03

SCImago Journal Rank (SJR) 2018: 0.213
Source Normalized Impact per Paper (SNIP) 2018: 1.106

Cited By
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 215 68 3
PDF Downloads 159 85 5