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QU Xie, HUANG Mao-song, Lü Xi-lin. Progressive failure of soils based on non-local Mohr-Coulomb models[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(3): 523-530.
Citation: QU Xie, HUANG Mao-song, Lü Xi-lin. Progressive failure of soils based on non-local Mohr-Coulomb models[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(3): 523-530.

Progressive failure of soils based on non-local Mohr-Coulomb models

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  • Received Date: May 28, 2012
  • Published Date: March 24, 2013
  • The numerical solutions of softening plasticity model using the ordinary finite element method seriously depend on mesh size. The non-local theory is an effective way to solve this problem. But the existing non-local theory can only be applied in von Mises plasticity model and cannot be used to analyze the progressive failure of softening soils. An improved full implicit stress return iterative algorithm for non-local models is proposed. This algorithm, which can assure whether a Gauss point be plastic state after loading or not, overcomes inaccuracy and instability of the existing algorithms. The non-local theory is extended to the Mohr-Coulomb plasticity model, so that it can be used to analyze geotechnical problems. The numerical solutions of the strip foundation bearing and stability problems of slopes subjected to triangle loads using both the local and non-local models demonstrate that the proposed approach can regularly control the equation and eliminate dependence on mesh size of finite element solutions of softening plasticity.
  • [1]
    BJERRUM L. Progressive failure in slopes of over- consolidated plastic clays and clay shales[J]. Journal of Soil Mechanics & Foundations Div, ASCE,1967, 93(5):1-49.
    [2]
    ALSHIBLI K A, ALSALEH M I, VOYIADJIS G Z. Modelling strain localization in granular materials using micropolar theory: Numerical implementation and verification[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2006,30:1525-1544.
    [3]
    张洪武,王 辉,陈飙松,等. 基于参数变分原理的Cosserat连续体弹塑性分析[J]. 固体力学学报, 2007,28(2):157-163. (ZHANG Hong-wu, WANG Hui, CHEN Biao-song, et al. Parametric variational principle based elastic-plastic analysis of Cosserat continuum[J]. Acta Mechanica Solida Sinica, 2007, 28(2)
    [4]
    DE BORST R, MÜHLHAUS H B. Gradient-dependent plasticity: Formulation and algorithmic aspects[J]. International Journal for Numerical Methods in Engineering, 1992,35:521-539.
    [5]
    李锡夔, CESCOTO S. 梯度塑性的有限元分析及应变局部化模拟[J]. 力学学报, 1996,28(5):575-584. (LI Xi-kui, CESCOTO S. Finite element analysis for gradient plasticity and modeling of strain localization[J]. Chinese Journal of Theoretical and Applied Mechanics, 1996, 28(5)
    [6]
    BAZANT Z P, JIRASEK M. Nonlocal integral formulations of plasticity and damage: Survey of progress[J]. Journal of Engineer Mechanics, ASCE,2002, 128(11):1119-1149.
    [7]
    ERINGEN A C. Theories of nonlocal plasticity[J]. International Journal of Engineering Science, 1983,21:741-751.
    [8]
    DE BORST R. Some recent issues in computational failure mechanics[J]. International Journal of Engineering Science, 1966,4:179-202.
    [9]
    PIJAUDIER-CABOT G, BAŽANT Z P. Non-local damage theory[J]. Journal of Engineering Mechanics, ASCE,1987, 113(10):1512-1533.
    [10]
    VERMEER P A, BRINKGREVE R B J. A new effective non-local strain measure for softening plasticity[C]// Localization and Bifurcation Theory for Soil and Rocks. Rotterdam: Balkema, 1994:89-100.
    [11]
    吕玺琳,黄茂松. 基于非局部塑性的应变局部化理论分析及数值模拟[J]. 计算力学学报, 2011,28(5):743-748. (LÜ Xi-lin, HUANG Mao-song.
    Theoretical analysis and numerical simulation of strain localization in nonlocal plasticity model[J]. Chinese Journal of Computational Mechanics, 2011, 28(5): 743-748.( in Chinese))
    [12]
    BENVENUTI E, TRALLI A. Iterative LCP solvers for non-local loading-unloading conditions[J]. International Journal for Numerical Methods in Engineering, 2003,58:2343-2370.

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