Phase Transformation States of Loose and Dense Granular Materials under Proportional Strain Loading
Publication: Journal of Engineering Mechanics
Volume 143, Issue 1
Abstract
Depending on the rate of external loading, the permeability, and the boundary conditions, different drainage conditions are expected during the loading of sands. These drainage conditions are thus neither fully drained nor fully undrained as usually assumed for saturated soils, which implies simultaneous changes in pore volume and in pore water pressure. For a given material, the transition between contractive behavior (increase of the pore water pressure) and dilative behavior (decrease of the pore water pressure) defines the phase transformation state. It is found that the position of this phase transformation state, which is known to be dependent on the relative density, depends on the rate of dilatancy () imposed on the sample. Constraining a loose sample to dilate leads to an unstable state earlier than observed during undrained tests. Even dense samples, which do not exhibit a nonlocalized unstable state during undrained tests, are prone to collapse if the rate to dilatancy is high enough.
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References
Benahmed, N., Canou, J., and Dupla, J.-C. (2004). “Structure initiale et propriétés de liquéfaction statique d’un sable [Initial structure and static liquefaction properties of sand].” Comptes Rendus Mécanique, 332(11), 887–894 (in French).
Castro, G. (1969). “Liquefaction of sands.” Harvard soil mechanics series, Cambridge, MA.
Chu, J., Lo, S.-C. R., and Lee, I. K. (1993). “Instability of granular soils under strain path testing.” J. Geotech. Eng., 119(5), 874–892.
Daouadji, A. (2010). “Errata for “Instability in granular materials: Experimental evidence of diffuse mode of failure for loose sands” by A. Daouadji, H. AlGali, F. Darve, and A. Zeghloul.” J. Eng. Mech., 575–588.
Daouadji, A., et al. (2011). “Diffuse failure in geomaterials: Experiments, theory and modelling.” Int. J. Numer. Anal. Meth., 35(16), 1731–1773.
Daouadji, A., AlGali, H., Darve, F., and Zeghloul, A. (2010). “Instability in granular materials: Experimental evidence of diffuse mode of failure for loose sands.” J. Eng. Mech., 575–588.
Daouadji, A., Darve, F., Al Gali, H., Lejeune, A., and Jrad, M. (2009). “Experimental and numerical analyses of failure in very loose sands.” Eur. J. Environ. Civ. Eng., 13(2), 149–165.
Darve, F., and Chau, B. (1987). “Constitutive instabilities in incrementally non-linear modelling.” Constitutive laws for engineering materials, C. S. Desai, ed., Elsevier, 301–310.
Darve, F., Flavigny, E., and Meghachou, M. (1995). “Yield surfaces and principle of superposition: Revisit through incrementally non-linear constitutive relations.” Int. J. Plast., 11(8), 927–948.
Darve, F., Servant, G., Laouafa, F., and Khoa, H. (2004). “Failure in geomaterials: Continuous and discrete analyses.” Comput. Meth. Appl. M., 193(27–29), 3057–3085.
Darve, F., Sibille, L., Daouadji, A., and Nicot, F. (2007). “Bifurcations in granular media: Macro-and micro-mechanics approaches.” Comptes Rendus Mécanique., 335(9–10), 496–515.
Di Prisco, C., and Imposimato, S. (1996). “Time dependent mechanical behavior of loose sands.” Mech. Cohes-Frict. Mat., 1(1), 45–73.
Guo, N., and Zhao, J. D. (2013). “The signature of shear induced anisotropy in granular media.” Comput. Geotech., 47, 1–15.
Ibsen, L. B., and Lade, P. V. (1998). “The role of the characteristic line in static soil behavior.” Proc. 4th Int. Workshop on Localization and Bifurcation Theory for Soil and Rocks, T. Adachi, F. Oka, and A. Yashima, eds., A. A. Balkema, Rotterdam, Netherlands, 221–230.
Ishihara, K. (1985). “Stability of natural deposits during earthquakes.” Proc., 11th Int. Conf. on Soil Mechanics and Foundation Engineering, Vol. 1, A. A. Balkema, Rotterdam, Netherlands, 321–376.
Ishihara, K., Tatsuoka, F., and Yasuda, S. (1975). “Undrained deformation and liquefaction of sand under cyclic stresses.” Soils Found., 15(1), 29–44.
Jrad, M., Sukumaran, B., and Daouadji, A. (2012). “Experimental analyses of the behavior of saturated granular materials during axisymmetric proportional strain paths.” Eur. J. Environ. Civ. Eng., 16(1), 111–120.
Lade, P. V., and Ibsen, L. B. (1997). “A study of the phase transformation and the characteristic lines of sand behaviour.” Proc., Int. Symp. on Deformation and Progressive Failure in Geomechanics, Pergamon, Nagoya, 353–359.
Luong, M. P. (1982). “Stress-strain aspects of cohesionless soils under cyclic and transient loading.” Proc., Int. Symp. on Soil under Cyclic and Transient Loading, A.A. Balkema, Rotterdam, Netherlands, 315.
Nicot, F., Daouadji, A., Hadda, N., Jrad, M., and Darve, F. (2013). “Granular media failure along triaxial proportional strain paths.” Eur. J. Environ. Civ. Eng., 17(9), 777–790.
Nicot, F., Daouadji, A., Laouafa, F., and Darve, F. (2010). “Second-order work, kinetic energy and diffuse failure in granular materials.” Granular Matter, 13(1), 19–28.
Sadrekarimi, A., and Olson, S. M. (2011). “Critical state friction angle of sands.” Geotechnique, 61(9), 771–783.
Sasitharan, S., Robertson, P. K., Sego, D. C., and Morgenstern, N. R. (1993). “Collapse behavior of sand.” Can. Geotech. J., 30, 569–577.
Sivathayalan, S., and Logeswaran, P. (2007). “Behavior of sands under generalized drainage boundary conditions.” Can. Geotech J., 44(2), 138–150.
Skopek, P., Morgenstern, N. R., Robertson, P. K., and Sego, D. C. (1994). “Collapse of dry sand.” Can. Geotech. J., 31(6), 1008–1014.
Verdugo, R., and Ishihara, K. (1996). “The steady state of sandy soils.” Soil Found., 36(2), 81–92.
Wan, R., Pinheiro, M., Daouadji, A., Jrad, M., and Darve, F. (2013). “Diffuse instabilities with transition to localization in loose granular materials.” Int. J. Num. Anal. Meth., 37(10), 1292–1311.
Yoshimine, M., and Ishihara, K. (1998). “Flow potential of sand during liquefaction.” Soil Found., 38(3), 179–188.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 143 • Issue 1 • January 2017
Copyright
© 2016 American Society of Civil Engineers.
History
Received: May 12, 2015
Accepted: Nov 4, 2015
Published online: Feb 19, 2016
Discussion open until: Jul 19, 2016
Published in print: Jan 1, 2017
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