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SUN De-an, CHEN Li-wen. Bifurcation analysis of over-consolidated clays under different stress paths[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(9): 1313-1319.
Citation: SUN De-an, CHEN Li-wen. Bifurcation analysis of over-consolidated clays under different stress paths[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(9): 1313-1319.

Bifurcation analysis of over-consolidated clays under different stress paths

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  • Published Date: September 14, 2011
  • Based on the Hvorslev’s envelope-based three-dimensional elastoplastic constitutive model proposed by Yao et al. for over-consolidated clays, an acoustic tensor and a discriminator of bifurcation for strain localization under undrained conditions are given in an explicit form. The analytical and numerical solutions to the model under different stress paths are resolved. The theoretical analysis shows that onset of bifurcation occurs in the hardening regime at the Lode angle in the range of - 23.5o ~ 4o when the material is single-phase. There is no bifurcation occurring at the Lode angle in the ranges of - 30o~23.5o and 4o~ 30o. On the other hand, onset of bifurcation occurs in the softening regime at the Lode angle in the range of - 23o ~ - 1o when the material is two-phase consisting of soil skeleton and water, and there is no bifurcation occurring at the Lode angle in the ranges of - 30o~23o and - 1o~ 30o. The numerical simulations of cubic specimens of the single-phase and water-soil coupling saturated porous media under undrained condition for the bifurcation are carried out by use of a nonlinear finite element analysis software ABAQUS with the above model being implemented. A comparison indicates that the numerical results agree with the theoretical solutions.
  • [1]
    HILL R. A general theory of uniqueness and stability in elastic-plastic solids[J]. Journal of the Mechanics and Physics of Solids , 1958, 6 (3): 236 – 249.
    [2]
    DRUCKER D C. A definition of stable inelastic materials [J]. Journal of Applied Mechanics , 1959, 26 (1): 101 – 106.
    [3]
    BIGONI D, HUECKEL T. Uniqueness and localization-I associative and non-associative elasto-plasticity[J]. International Journal of Solids and Structures , 1991, 28 (2): 197 – 213.
    [4]
    BIGONI D, HUECKE T. Uniqueness and localization-II coupled elasto-plasticity[J]. International Journal of Solids and Structures , 1991, 28 (2): 215 – 224.
    [5]
    RICE J R. The localization of plastic deformation[C]// Theoretical and Applied Mechanics . North Holland Amsterdam: Koiter W T. 1976: 207 – 220.
    [6]
    RUNESSON K. Bifurcation results for plasticity coupled to damage with MCR-effect[J]. International Journal of Solids and Structures , 2000, 37 (14): 1975 – 1996.
    [7]
    RUDNICKI J W. Condition for the localization of deformation in pressure-sensitive dilatant materials[J]. Journal of the Mechanics and Physics of Solids , 1975, 23 (6): 371 – 394.
    [8]
    钱建固 , 黄茂松 . 土体应变局部化现象的理论解析 [J]. 岩土力学 , 2005, 26 (3): 432 – 436. (QIAN Jian-gu, HUANG Mao-song. An analytical solution for criterion of onset of strain localization of soils[J]. Rock and Soil Mechanics, 2005, 26 (3): 432 – 466.
    [9]
    吕玺琳 , 黄茂松 , 钱建固 . 基于非共轴本构模型的砂土真三轴试验分叉分析 [J]. 岩土工程学报 , 2008, 30 (5): 646 – 651. ( LÜ Xi-lin, HUANG Mao-song, QIAN Jian-gu. Bifurcation analysis in true triaxial tests on sands based on non-coaxial elasto-plasticity model[J]. Chinese Journal of Geotechnical Engineering, 2008, 30 (5): 646 – 651. (in Chinese))
    [10]
    徐连民 , 朱合华 , 中井照夫 , 等 . 超固结粘土的剪切带数值模拟 [J]. 岩土力学 , 2006, 27 (1): 61 – 66. (XU Lian-min, ZHU He-hua, NAKAI Teruo, et al. Numerical simulation of shear band in overconsolidated clay[J]. Rock and Soil Mechanics, 2006, 27 (1): 61 – 66. (in Chinese) )
    [11]
    甄文战 , 孙德安 , 段 博 . 超固结土本构模型局部化分叉三维解析及模拟 [J]. 岩土工程学报 , 2010, 32 (12): 1910 – 1915. (ZHEN Wen-zhan, SUN De-an, DUAN Bo. Three-dimensional bifurcation analysis and numerical simulation for strain localization in constitutive model for over-consolidated clays[J]. Chinese Journal of Geotechnical Engineering, 2010, 32 (12): 1910 – 1915. (in Chinese))
    [12]
    ZHANG H W, SCHREFLER B A. Uniqueness and localization analysis of elastic-plastic saturated porous media [J]. International Journal for Numerical and Analytical Methods in Geomechanics , 2001, 25 (1): 29 – 48.
    [13]
    姚仰平 , 侯 伟 , 周安楠 . 基于 Hvorslev 面的超固 结 土模型 [J]. 中国科学 (E 辑 ), 2007, 37 (11): 1417 – 1429. (YAO Yang-ping, HOU Wei, ZHOU An-nan. Constitutive model for overconsolidated clays[J]. Science in China (Series E): 2007, 37 (11): 1417 – 1429. (in Chinese))
    [14]
    姚仰平 , 李自 强 , 侯 伟 , 等 . 基于改 进 伏斯列夫面的超固 结 土模型 [J] . 水利学 报 , 2008, 39 (11): 1244 – 1250. (YAO Yang - ping, LI Zi - qiang, HOU Wei, et al. Constitutive model of over - consolidated clay based on improved Hvorslev envelope[J]. Journal of Hydraulic Engineering, 2008, 39 (11): 1244 – 1250 . (in Chinese))
    [15]
    YAO Y P, HOU W, ZHOU A N. UH model: three- dimensional unified hardening model for overconsolidated clays[J]. Géotechnique , 2009, 59 (5): 451 – 469.
    [16]
    孙德安 , 甄文战 . 不同应力路径下剪切带的数值模拟 [J]. 岩土力学 , 2010, 31 (7): 2253 – 2258. (SUN De-an, ZHEN Wen-zhan. Numerical simulations of shear bands along different stress paths[J]. Rock and Soil Mechanics, 2010, 31 (7): 2253 – 2258. (in Chinese))
    [17]
    MATSUOKA H, YAO Y P, SUN D A. The Cam-clay model revised by the SMP criterion[J]. Soils and Foundations , 1999, 39 (1): 81 – 95.
    [18]
    RUDNICKI J W, RICE J R. Conditions for the localization of the deformation in pressure sensitive dilatant materials[J]. Journal of the Mechanics and Physics of Solids , 1975, 23 : 371 – 394.
    [19]
    MATSUOKA H, NAKAI T. Closure to discussion on “Stress- deformation and strength characteristics of soil under three-different principal stress[J]. Journal of Japan Society of Civil Engineers, 1976(246): 137 – 140.

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