Abstract
A new double-yield-surface (DYS) model was developed to characterize the strength and deformation behaviors of coarse granular materials (CGMs). Two kinds of deformation mechanisms, including the shear and compressive plastic deformation, were taken into account in this model. These two deformation mechanisms were described by the shear and compressive yield functions, respectively. The Lode angle dependent formulations of proposed model were deduced by incorporating a 3D nonlinear unified failure criterion. Some comparisons were presented between the numerical predictions of proposed model and test data of true triaxial tests on the modeled rockfills. The model predictions are in good agreement with the test data and capture the strain hardening and plastic volumetric dilation of CGMs. These findings verify the reasonability of current DYS model, and indicate that this model is well suited to reproduce the stress-strain-volume change behavior of CGMs in general.
Similar content being viewed by others
References
INDRARATNA B, IONESCU D, CHRISTIE H D. Shear behavior of railway ballast based on large-scale triaxial tests [J]. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 1998, 124(5): 439–448.
BARKER R. Nonlinear Mohr envelopes based on triaxial data [J]. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2004, 130(5): 498–506.
LIU Meng-cheng, GAO Yu-feng, LIU Han-long. Study on shear behaviors of rockfills in large-scale triaxial tests under different stress paths [J]. Chinese Journal of Rock Mechanics and Engineering, 2008, 27(1): 176–186. (in Chinese)
VARADARAJAN A, SHARMA K G, ABBAS S M, DHAWAN A K. Constitutive model for rockfill materials and determination of material constants [J]. International Journal of Geomechanics, ASCE, 2006, 6(4): 226–237.
LIU Han-long, XIAO Yang, LIU Jin-yuan, LI Guo-ying. A new elliptic-parabolic yield surface model revised by an adaptive criterion for granular soils [J]. Science China Technological Sciences, 2010, 53(8): 2152–2159.
YIN Zong-ze. Constitutive model with two yield surfaces for soils [C]// Proceedings of 6th International Conference on Numerical Methods in Geomechanics. Rotterdam: Balkema, 1988: 447–452.
DU Xiu-li, LU De-chun, GONG Qiu-ming, ZHAO Mi. Nonlinear unified strength criterion for concrete under three-dimensional stress states [J]. Journal of Engineering Mechanics, ASCE, 2010, 136(1): 51–59.
LIU Meng-cheng, GAO Yu-feng, LIU Han-long. A nonlinear Drucker-Prager and Matsuoka-Nakai unified failure criterion for geomaterials with separated stress invariants [J]. International Journal of Rock Mechanics and Mining Sciences, 2012, 50(1): 1–10.
SUN De-an, YAO Yang-ping, MATSUOKA H. Modification of critical state models by Mohr-Coulomb criterion [J]. Mechanics Research Communications, 2006, 33(2): 217–232.
BENZ T, SCHWAB R, KAUTHE R A, VERMEER P A. A Hoek-Brown criterion with intrinsic material strength factorization [J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(2): 210–222.
JIANG Hua, XIE Yong-li. A note on the Mohr-Coulomb and Drucker-Prager strength criteria [J]. Mechanics Research Communications, 2011, 38(4): 309–314.
GRIFFITHS D V, HUANG J S. Observations on the extended Matsuoka-Nakai failure criterion [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2009, 33(10): 1889–1905.
YAO Yang-ping, ZHOU An-nan, LU De-chun. Extended transformed stress space for geomaterials and its application [J]. Journal of Engineering Mechanics, ASCE, 2007, 133(10): 1115–1123.
DUNCAN J M, CHANG C Y. Nonlinear analysis of stress and strain in soils [J]. Journal of Soil Mechanics and Foundations Division, ASCE, 1970, 96(5): 1629–1652.
McDOWELL G R, HAU K W. A simple non-associated three surface kinematics hardening model [J]. Geotechnique, 2003, 53(4): 433–437.
RUSSELL A R, WOOD D M. A comparison of critical state models for sand under conditions of axial symmetry [J]. Geotechnique, 2010, 60(2): 133–140.
YAO Yang-ping, SUN De-an, MATSUOKA H. A unified constitutive model for both clay and sand with hardening parameter independent on stress path [J]. Computers and Geotechnics, 2008, 35(2): 210–222.
CAMERON D A, CARTER J P. A constitutive model for sand based on non-linear elasticity and the state parameter [J]. Computers and Geotechnics, 2009, 36(7): 1219–1228.
XU Shun-hua, ZHENG Gang, JIANG Yan. A critical state subloading surface model of sands with shear hardening [J]. Journal of Central South University of Technology, 2008, 15 (S2): 93–100.
SHI Wei-cheng. True triaxial tests on coarse-grained soils and study on constitutive model [D]. Nanjing: Hohai University, 2008. (in Chinese)
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Project(50825901) supported by the National Natural Science Foundation for Distinguished Young Scholar of China; Project(2009492011) supported by State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing Hydraulic Research Institute, China; Project(GH200903) supported by Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering (Hohai University), China; Project(Y1090151) supported by Natural Science Foundation of Zhejiang Province, China
Rights and permissions
About this article
Cite this article
Liu, Mc., Liu, Hl. & Gao, Yf. New double yield surface model for coarse granular materials incorporating nonlinear unified failure criterion. J. Cent. South Univ. 19, 3236–3243 (2012). https://doi.org/10.1007/s11771-012-1400-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11771-012-1400-z