李学丰, 黄茂松, 钱建固. 基于非共轴理论的各向异性砂土应变局部化分析[J]. 工程力学, 2014, 31(3): 205-211. DOI: 10.6052/j.issn.1000-4750.2012.10.0771
引用本文: 李学丰, 黄茂松, 钱建固. 基于非共轴理论的各向异性砂土应变局部化分析[J]. 工程力学, 2014, 31(3): 205-211. DOI: 10.6052/j.issn.1000-4750.2012.10.0771
LI Xue-feng, HUANG Mao-song, QIAN Jian-gu. STRAIN LOCALIZATION ANALYSIS OF ANISOTROPIC SANDS BASED ON NON-COAXIAL THEORY[J]. Engineering Mechanics, 2014, 31(3): 205-211. DOI: 10.6052/j.issn.1000-4750.2012.10.0771
Citation: LI Xue-feng, HUANG Mao-song, QIAN Jian-gu. STRAIN LOCALIZATION ANALYSIS OF ANISOTROPIC SANDS BASED ON NON-COAXIAL THEORY[J]. Engineering Mechanics, 2014, 31(3): 205-211. DOI: 10.6052/j.issn.1000-4750.2012.10.0771

基于非共轴理论的各向异性砂土应变局部化分析

STRAIN LOCALIZATION ANALYSIS OF ANISOTROPIC SANDS BASED ON NON-COAXIAL THEORY

  • 摘要: 针对各向异性砂土应变局部化分析中本构模型存在的不足, 采用非共轴理论进行改进。传统塑性位势理论采用各向同性假设, 导致其模型不能描述非共轴特性和不能较好描述各向异性的不足, 为克服传统塑性势理论的局限性, 引入非共轴塑性理论建立了砂土的三维非共轴临界状态各向异性本构模型。考虑细观组构张量和应力张量的几何关系, 改进模型即可描述主应力轴旋转条件下砂土材料状态的改变, 材料状态变化直接导致模型的硬化规律和剪胀性发生变化, 从而描述了原生各向异性的影响。非共轴修正后模型可以描述应力诱发各向异性和非共轴特性, 结合分叉理论模型可以对不同沉积角度随围压变化的应变局部化特性进行分析。Toyoura砂的单剪试验和平面应变试验验证表明模型改进效果较好。

     

    Abstract: Aiming at the shortage of strain localization analysis on anisotropic sand, a non-coaxial theory was employed to improve constitutive model. The isotropy assumption in traditional plastic potential theory caused deficiencies that constitutive model can not describe non-coaxial features and can not give a better description of stress-induced anisotropy. To overcome such deficiencies, a three-dimensional non-coaxial critical state constitutive model for anisotropy sand is proposed with introduction of non-coaxial plasticity theory. In the view of the geometric relationship of micro fabric and stress state, the improved model can describe variation of sand state under the principal stress axes rotation condition, while the dilatancy and hardening law of model is a function of sand state. After amended with non-coaxial plasticity theory, the model can describe the non-coaxial features and stress-induced anisotropy, and the model with bifurcation theory can analyze the strain localization of anisotropy sand under different deposition angle and confining pressure condition. The improved model is verified against the results of simple shear and plane strain tests for Toyoura sand.

     

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