Dilatancy and Friction Angles Based on In Situ Soil Conditions
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Volume 141, Issue 4
Abstract
Dilatancy influences almost all aspects of the behavior of granular material, ranging from shear strength to stress-strain behavior. However, there is no practical method for estimating the dilatancy angle based on in situ soil properties, although the variables that influence dilatant behavior are well-known. This paper attempts to link the dilatancy angle to preshear mean effective stress and relative density for cohesionless soils. Accordingly, it may be possible to estimate the dilatancy angle by using variables that can be measured or calculated during the soil exploration phase of a design project. For this purpose, an experimental study is conducted on Silivri sand and the obtained results are used to quantify the relationship between dilatancy angle and preshear soil properties. An equation for the dilatancy angle is proposed that requires only two unit-independent soil constants, which can be obtained by conducting triaxial or plane strain tests. Moreover, the proposed dilatancy equation can be combined with a linear relationship between friction angle and dilatancy angle to form a new equation that can be used to estimate the peak friction angle. Thus, a new equation is developed that allows the calculation of the peak friction angle from preshear soil properties. Finally, for verification purposes, the proposed equations for dilatancy and peak friction angles are tested by using available data on other sands and the results are compared with the predictions of available dilatancy equations in literature.
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Acknowledgments
The authors would like to thank the Scientific and Technological Research Council of Turkey (TUBITAK) for supporting this research work with project number 110M595.
References
Abadkon, A. (2012). “Strength and dilatancy of anisotropic cohesionless soils.” Ph.D. thesis, Bogazici Univ., Istanbul, Turkey.
Alshibli, K. A., and Sture, S. (2000). “Shear band formation in plane strain experiments of sand.” J. Geotech. Geoenviron. Eng., 495–503.
Been, K., and Jefferies, M. G. (1985). “A state parameter for sands.” Geotechnique, 35(2), 99–112.
Billiam, J. (1972). “Some aspects of the behaviour of granular materials at high pressures.” Stress-strain behaviour of soils, R. H. G. Parry, ed., Foulis, London, 69–80.
Bishop, A. W. (1972). “Shear strength parameters for undisturbed and remoulded soils specimens.” Stress-strain behaviour of soils, R. H. G. Parry, ed., Foulis, London, 3–58.
Bolton, M. D. (1986). “Strength and dilatancy of sands.” Geotechnique, 36(1), 65–78.
Chakraborty, T., and Salgado, R. (2010). “Dilatancy and shear strength of sand at low confining pressures.” J. Geotech. Geoenviron. Eng., 527–532.
Chen, W. F., and Liu, X. L. (1990). Limit analysis in soil mechanics, Elsevier, Amsterdam, Netherlands.
Cho, G. C., Dodds, J., and Santamarina, J. C. (2006). “Particle shape effects on packing density, stiffness, and strength: Natural and crushed sands.” J. Geotech. Geoenviron. Eng., 591–602.
Cinicioglu, O., Znidarcic, D., and Ko, H.-Y. (2007). “New structure-based model for estimating undrained shear strength.” J. Geotech. Geoenviron. Eng., 1290–1301.
Collins, I. F., and Muhunthan, B. (2003). “On the relationship between stress-dilatancy, anisotropy, and plastic dissipation for granular materials.” Geotechnique, 53(7), 611–618.
Cornforth, D. H. (1973). “Prediction of drained strenth of sand from relative density measurements.” Evaluation of relative density and its role in geotechnical projects involving cohesionless soils, Special Technical Publication 523, ASTM, West Conshohocken, PA, 281–303.
Cox, M., and Budhu, M. (2010). “Grain shape quantifications and their relationship to dilatancy.” Advances in analysis, modeling and design, GeoFlorida, ASCE, Reston, VA, 540–549.
De Josselin De Jong, G. (1976). “Rowe’s stress-dilatancy relation based on friction.” Geotechnique, 26(3), 527–534.
Desrues, J., and Viggiani, G. (2004). “Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry.” Int. J. Numer. Anal. Methods Geomech., 28(4), 279–321.
Guo, P., and Su, X. (2007). “Shear strength, interparticle locking, and dilatancy of granular materials.” Can. Geotech. J., 44(5), 579–591.
Hanna, A. (2001). “Determination of plane-strain shear strength of sand from the results of triaxial tests.” Can. Geotech. J., 38(6), 1231–1240.
Lee, K. L., and Seed, H. B. (1967). “Drained strength characteristics of sands.” J. Soil Mech. Found. Div., 93(6), 117–141.
Li, X.-S. (2002). “A sand model with state-dependent dilatancy.” Geotechnique, 52(3), 173–186.
Li, X.-S., and Dafalias, Y. F. (2000). “Dilatancy for cohesionless soils.” Geotechnique, 50(4), 449–460.
Rowe, P. W. (1962). “The stress-dilatancy relation for static equilibrium of an assembly of particles in contact.” Proc. R. Soc. London, Math. Phys. Sci., 269(1339), 500–527.
Rowe, P. W. (1969). “The relation between the shear strength of sands in triaxial compression, plane strain, and direct shear.” Geotechnique, 19(1), 75–86.
Salençon, J. (1977). Applications of the theory of plasticity in soil mechanics, Wiley, New York.
Schanz, T., and Vermeer, P. A. (1996). “Angle of friction and dilatancy of sand.” Geotechnique, 46(1), 145–151.
Sladen, J. A., D’Hollander, R. D. D., and Krahn, J. (1985). “The liquefaction of sands, a collapse surface approach.” Can. Geotech. J., 22(4), 564–578.
Taylor, D. W. (1948). Fundamentals of soil mechanics, Wiley, New York.
Vaid, Y. P., and Sasitharan, S. (1992). “The strength and dilatancy of sand.” Can. Geotech. J., 29(3), 522–526.
Vesic, A. S., and Clough, G. W. (1968). “Behaviour of granular materials under high stresses.” J. Soil Mech. Found. Div., 94(3), 661–688.
Wan, R. G., and Guo, P. J. (1999). “A pressure and density dependent dilatancy model for granular materials.” Soils Found., 39(6), 1–11.
Yang, J., and Li, X. S. (2004). “State-dependent strength of sands from the perspective of unified modeling.” J. Geotech. Geoenviron. Eng., 130(2), 186–198.
Yu, H. S. (2006). Plasticity and geotechnics, Springer, New York.
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© 2014 American Society of Civil Engineers.
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Received: Mar 5, 2014
Accepted: Nov 24, 2014
Published online: Dec 22, 2014
Published in print: Apr 1, 2015
Discussion open until: May 22, 2015
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