Abstract
An adaptive criterion for shear yielding as well as shear failure of soils is proposed in this paper to address the fact that most criteria, including the Mohr-Coulomb criterion, the Lade criterion and the Matsuoka-Nakai criterion, cannot agree well with the experimental results when the value of the intermediate principal stress parameter is too big. The new criterion can adjust an adaptive parameter based on the experimental results in order to make the theoretical calculations fit the test results more accurately. The original elliptic-parabolic yield surface model can capture both soil contraction and dilation behaviors. However, it normally over-predicts the soil strength due to its application of the Extended Mises criterion. A new elliptic-parabolic yield surface mode is presented in this paper, which introduces the adaptive criterion in three-dimensional principal stress space. The new model can well model the stress-strain behavior of soils under general stress conditions. Compared to the original model which can only simulate soil behavior under triaxial compression conditions, the new model can simulate soil behaviors under both triaxial compression conditions and general stress conditions.
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References
Duncan J M, Chang C Y. Nonlinear analysis of stress and strain in soils. J Geotech Eng ASCE, 1970, 96: 1629–1653
Roscoe K H, Schofield A N, Thurairajah A. Yielding of clay in states wetter than critical. Geotechnique, 1963, 13(3): 211–240
Lade P V, Duncan J M. Elasto-plastic stress-strain theory for cohesionless soil. J Geotech Eng ASCE, 1975, 101(GT1): 51–68
Vermeer P A. A doubling hardening model for sand. Geotechnique, 1978, 28(4): 413–433
Baldi G Y, Rohani B. Elasto-plastic model for saturated sand. J Geotech Eng ASCE, 1979, 105(4): 465–480
Yin Z Z. A double-yield surface stress-strain model for soils (in Chinese). Chin J Geotech Eng, 1988, 10(4): 64–71
Matsuoka H. On the significance of the spatial mobilized plane. Soils Found, 1976, 16(1): 91–100
Matsuoka H, Nakai T. Relationship among Tresca, Mises, Mohr-Coulomb and Matsuoka-Nakai failure criterion. Soils Found, 1985, 25(4): 123–128
Nakai T, Matsuoka H. A generalized elastoplastic constitutive model for clay in three-dimensional stresses. Soils Found, 1986, 26(3): 81–98
Matsuoka H, Yao Y P, Sun D A. The Cam-clay models revised by the SMP criterion. Soils Found, 1999, 39(1): 81–95
Yao Y P, Sun D A. Application of Lade’s criterion to Cam-clay model. J Eng Mech ASCE, 2000, 126(1): 112–119
Liu M D, Carter J P. General strength criterion for geomaterials. Int J Geomech ASCE, 2003, 3(2): 253–259
Li Z Z, Tang X W. Deduction and verification of a new strength criterion for soils (in Chinese). Rock Soil Mech, 2007, 28(6): 1247–1249
Shi W C, Zhu J G, Liu H L. Influence of intermediate principal stress on deformation and strength of gravel (in Chinese). Chin J Geotech Eng, 2008, 30(10): 1449–1453
Shi W C. True triaxial tests on coarse-grained soils and study on constitutive model (in Chinese). Dissertation for the Doctoral Degree Nanjing: Hohai University, 2008. 39–40
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Liu, H., Xiao, Y., Liu, J. et al. A new elliptic-parabolic yield surface model revised by an adaptive criterion for granular soils. Sci. China Technol. Sci. 53, 2152–2159 (2010). https://doi.org/10.1007/s11431-010-4014-4
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DOI: https://doi.org/10.1007/s11431-010-4014-4