考虑强度各向异性的黏性土应变局部化有限元分析

doi:10.13722/j.cnki.jrme.2019.0031

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摘要针对黏性土的强度各向异性及应变局部化问题，将Pietruszczak微结构张量联合应力不变量的方法发展至分析黏性土的黏聚力各向异性，并将其引入Cosserat连续体理论下的Drucker-Prager本构模型中，实现黏聚力随应力状态变化而动态更新，推导有关公式并借助于有限元软件ABAQUS的二次开发功能进行数值实现，通过与试验结果的对比，验证所发展的数值方法的可靠性和有效性。对平面应变条件下的单轴压缩和挡土墙被动破坏算例进行分析，说明黏聚力的强度各向异性对承载力和变形有重要影响，并对不同工况下黏聚力的取值提供合理建议。经过与经典连续体模型的计算结果进行对比研究，证明文中所发展的Cosserat连续体理论下考虑强度各向异性的数值模型，能克服经典连续体模型病态的网格敏感性，保持应变局部化问题的适定性。

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	唐洪祥
	韦文成
	林荣烽

关键词 ：土力学, 黏性土, 各向异性, 微结构, Cosserat连续体理论, 应变局部化

Abstract：Aiming at the problems of strength anisotropy and strain localization of cohesive soils，Pietruszczak?s method considering microstructure tensor combined with stress invariance was developed to analyze the cohesion anisotropy of cohesive soils and introduced into Drucker-Prager constitutive model based on Cosserat continuum theory to realize dynamically updating of the cohesion with the change of the stress state. The relevant formulas were derived and the numerical implementation was carried out by means of the secondary development function of the finite element software-ABAQUS. The reliability and effectiveness of the numerical method developed in this paper were verified by comparison with the experimental results. Examples of uniaxial compression and passive failure of the retaining wall under plane strain condition were illustrated，and the reasonable values of the cohesion under different working conditions were proposed. It is shown that the cohesion anisotropy has an important influence on bearing capacity and deformation. Comparison with the calculation results by the classical continuum model indicates that the developed numerical model considering the strength anisotropy based on the Cosserat continuum theory can overcome the ill-posedness of mesh sensitivity and maintain the well-posedness of the strain localization problem.

Key words： soil mechanics cohesive soil anisotropy microstructure Cosserat continuum theory strain localization

引用本文:

唐洪祥，韦文成，林荣烽. 考虑强度各向异性的黏性土应变局部化有限元分析[J]. 岩石力学与工程学报, 2019, 38(7): 1485-1497.
TANG Hongxiang，WEI Wencheng，LIN Rongfeng. Finite element analysis of strain localization of cohesive soils #br# considering strength anisotropy. , 2019, 38(7): 1485-1497.

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http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2019.0031 或 http://www.rockmech.org/CN/Y2019/V38/I7/1485

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