Response of Granular Soil along Constant Stress Increment Ratio Path
Publication: Journal of Geotechnical Engineering
Volume 116, Issue 3
Abstract
The stress‐strain response of a granular soil along constant stress increment ratio paths is experimentally investigated for the condition of Since the strains manifested along such paths can be very small, several measures have been developed to improve the accuracy of the strain measurements. A more accurate method of isolating the elastic strain has also been developed to enable reliable determination of plastic strain increment ratio. Test data unambiguously indicate that the elastic response is anisotropic, and the degree of anisotropy increases with the principal stress ratio. The plastic strain increment ratio so deduced from test data is dependent on the stress increment ratio, but can be predicted by combining Rowe's stress dilatancy equation and the energy equation of the Cam‐Clay model. This leads to a new method of predicting the stress‐strain response along such paths. The input parameters can be determined from constant tests and constant principal‐stress ratio tests. Excellent agreement with test results is achieved.
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References
1.
Baldi, G., and Nova, R. (1984). “Membrane penetration effects in triaxial testing.” J. Geotech. Engrg., ASCE, 110(3), 403–420.
2.
Barden, L., and Khaytt, A. J. (1966). “Incremental strain ratios and strength of sand in the triaxial tests.” Geotechnique, 16(4), 338–357.
3.
Burland, J. B. (1965). “Correspondence on yielding of clay in states wetter than critical.” Geotechnique, 15(2), 216–219.
4.
Cullingford, G. (1969). “Soil dynamics.” Consulting Eng., London, U.K., 1, 22–25.
5.
Dafalias, Y. F., and Hermann, L. R. (1981). “A bounding surface soil plasticity model.” Int. Symp. on Soils Under Cyclic and Transient Loading, Swansea, U.K., Jan., 335–345.
6.
Desai, C. S., Somasundarum, S., and Frantzikonis, G. (1986). “A hierarchical approach for constitutive modelling of geological materials.” Int. J. Numer. Anal. Meth. in Geomech., 5, 225–257.
7.
El‐Sohby, M. A. (1964). “The behaviour of particulate materials under stress,” thesis presented to Manchester University., at Manchester, U.K., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
8.
El‐Sohby, M. A. (1969a). “Deformation of sand under constant R.” Proc., 7th ICSMFE, Mexico City, Mexico, 112–118.
9.
El‐Sohby, M. A. (1969b). “Elastic behavior of sand.” J. Soil Mech. and Fdn., ASCE, 95(11), 1393–1409.
10.
Hardin, B. O. (1978). “The nature of stress‐strain behaviour for soils.” Specialty Conf. in Earthquake and Soil Dynamics, ASCE, Pasadena, Calif., 3–90.
11.
Horne, M. R. (1965). “The behaviour of an assembly of rotund, rigid, cohesionless particles, I and II.” Proc., Royal Society, London, England, A(310), 62–78, 79–97.
12.
Hornek, M. R. (1969). “The behaviour of an assembly of rotund, rigid, cohesionless particles III.” Proc., Royal Society, A(310), 21–34.
13.
Jardine, R. J., Symes, J., and Burland, J. B. (1984). “The measurement of soil stiffness in the triaxial apparatus.” Geotechnique, 34(3), 323–340.
14.
Jardine, R. J., et al. (1986). “Studies of the influence of non‐linear stress‐strain characteristics in soil‐structure interaction.” Geotechnique, 36(3), 377–396.
15.
Konishi, J. (1978). “Microscopic model studies on the mechanical behaviour of granular materials.” U.S.‐Japan Seminar on Continuum Mech. and Statistical Approaches in Mech. of Granular Matls., Jun., Sendai, Japan, 27–45.
16.
Lade, P. V. (1977). “Elasto‐plastic stress‐strain theory for cohesionless soil with curved yield surfaces.” Int. J. Solids and Struct., 13, 1019–1035.
17.
Lade, P. V. (1978). “Prediction of undrained behaviour of sand.” J. Geotech. Engrg., ASCE, 104(6), 721–735.
18.
Lee, I. K. (1966). “Stress‐dilatancy performance of feldspar.” J. Soil Mech. and Fdn., ASCE, 92(3), 81–103.
19.
Lee, I. K., Lo, S.‐C. R., and White, W. (1985). “Measurement of soil stiffness parameters for gravity structures subject to wave loadings.” Second Shanghai Symp. on Marine Geotech., Oct., Shanghai, China.
20.
Lo, S‐C. R. (1985). “Constitutive relationships for granular soils.” Thesis presented to the University of New South Wales, at Campbell, Australia, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
21.
Molenkamp, F., and Luger, H. J. (1983). “Modelling and minimization of membrane penetration effects in tests on granular soils.” Geotechnique, 31(4), 471–486.
22.
Mroz, Z. (1967). “On the description of anisotropic workhardening.” J. Mech. Phys. Solids, 15, 163–175.
23.
Mroz, Z., Norris, V. A., and Zienkiewicz, O. C. (1978). “An anisotropic hardening model for soils and its application to cyclic loading.” Int. J. Numer. Anal. Methods in Geomech., 2, 203–221.
24.
Newland, P. L., and Allely, B. H. (1959). “Volume changes during undrained triaxial tests on saturated dilatant granular material.” Geotechnique, 9(4), 178–179.
25.
Prevost, J. H. (1979). “Mathematical modelling of soil stress‐strain‐strength behaviour.” 3rd Int. Conf. on Numerical Methods in Geomech., Aschan, Greece, Apr., 247–361.
26.
Raju, V. S., and Sadasivan, S. K. (1974). “Membrane penetration in triaxial tests on sands.” J. of Geotech. Engrg., ASCE, 100(4), 482–489.
27.
Roscoe, K. H., Schofield, A. N., and Thurairajah, H. (1963). “An evaluation of test data for selecting a yield criterion for soils.” Symp. on Laboratory Shear Testing of Soils, ASTM, STP361, Philadelphia, Penn., 111–128.
28.
Roscoe, K. H., Schofield, A. N., and Thurairajah, H. (1963). “Yielding of clays in states wetter than critical.” Geotechnique, 13(3), 211–240.
29.
Roscoe, K. H., Schofield, A. N., and Wroth, C. P. (1958). “On the yielding of soils.” Geotechnique, 8(1), 22–53.
30.
Roscoe, K. H., and Burland, J. B. (1968). “On the generalized behavior of wet clay.” Engrg. Plasticity, 535–609.
31.
Rowe, P. W. (1963). “Stress‐dilatancy, earth pressure and slopes.” J. Soil Mech. and Fdn., ASCE, 89(3), 39–61.
32.
Rowe, P. W. (1962). “The stress‐dilatancy relationship for static equilibrium of an assembly of particles in contact.” Proc., Royal Society, A267, 500–529.
33.
Rowe, P. W., and Barden, L. (1964). “Importance of free ends in triaxial testing.” J. Soil Mech. and Fdn., ASCE, 90(1), 1–15.
34.
Rowe, P. W. (1972). “Theoretical meaning and observed values of deformation parameters for soil.” Proc., Roscoe Memorial Symp. on Stress‐Strain Behaviour of Soils, Cambridge Univ., Cambridge, U.K., Mar., 143–194.
35.
Saada, A. S., and Townsend, F. C. (1980). “State of the art: Laboratory strength testing of soils.” Symp. on Lab. Shear Strength Soils, American Society for Testing and Materials, STP740, 7–77.
36.
Sandler, I. A., DiMaggio, F. L., and Baladi, G. Y. (1976). “Generalized cap model for geological materials.” J. Geotech. Engrg., ASCE, 102(7), 683–699.
37.
Sandler, I. S., and Baron, M. L. (1979). “Recent developments in the constitutive modelling.” 3rd Int. Conf. on Numerical Methods in Geomech., Aachen, Greece, Apr., 363–376.
38.
Sarsby, R. W., Kalteziotis, N., and Haddad, E. H. (1982). “Compression of “free‐ends’ during triaxial testing.” J. Geotech. Engrg., ASCE, 108(1), 83–107.
39.
Sarsby, R. W. (1983). Discussion of “Elastic and plastic strain properties of sand,” by C.‐S. Ting.J. Geotech. Engrg., ASCE, 109(6), 855–859.
40.
Sarsby, R. W. (1983). Discussion of “Stress analysis of dummy rod method for sand specimens,” J. Geotech. Engrg., ASCE, 109(9), 1202–1203.
41.
Tatsuoka, F. (1972). “A fundamental study on the deformation of sand by triaxial tests,” thesis presented to the University of Tokyo, at Tokyo, Japan, in partial fulfillment of the requirement for the degree of Doctor of Philosophy.
42.
Tatsuoka, F., and Ishihara, K. (1974). “Yielding of sand in triaxial compression.” Soils and Foundations, 14(2), 63–76.
43.
Turairaja, H. (1973). “Shear behaviour of sand under stress reversal.” 8th ICSMFE, Moscow, U.S.S.R., 439–444.
44.
Vermeer, P. A. (1978). “A double hardening model for sand.” Geotechnique, 28(4), 413–433.
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Published online: Mar 1, 1990
Published in print: Mar 1990
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