岩土力学 ›› 2019, Vol. 40 ›› Issue (10): 4092-4100.doi: 10.16285/j.rsm.2019.0164

• 数值分析 • 上一篇    下一篇

耦合强度各向异性与应变软化的边坡稳定 有限元分析

唐洪祥,韦文成   

  1. 大连理工大学 海岸和近海工程国家重点实验室,辽宁 大连 116024
  • 收稿日期:2019-03-25 出版日期:2019-10-11 发布日期:2019-10-20
  • 作者简介:唐洪祥,男,1973年生,博士,副教授,主要从事岩土应变局部化的理论、试验与数值模拟工作。
  • 基金资助:
    国家重点研发计划(No. 2016YFE0200100);国家自然科学基金(No. 51890912,No. 51678112);辽宁省自然科学基金(No. 20170540157)。

Finite element analysis of slope stability by coupling of strength anisotropy and strain softening of soil

TANG Hong-xiang, WEI Wen-cheng   

  1. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China
  • Received:2019-03-25 Online:2019-10-11 Published:2019-10-20
  • Supported by:
    This work was supported by the National Key R&D Program of China (2016YFE0200100), the National Natural Science Fundation of China (51890912, 51678112) and the Natural Science Foundation of Liaoning Province (20170540157).

摘要: 在边坡稳定有限元分析中耦合了土体强度各向异性和应变软化两种特性,并考虑在Cosserat连续体理论下的Drucker-Prager本构模型中。通过对有限元软件ABAQUS的二次开发进行了数值实现,进而基于重度增加法进行了边坡稳定分析。利用微结构张量联合应力不变量的方法考虑了黏聚力各向异性,并与常用于边坡稳定分析中经典的Casagrande各向异性方法对比,在理论和数值上证明了所采用的各向异性方法更加合理。通过模拟相关算例,发现强度各向异性和应变软化对边坡超载安全系数影响较大,当坡度较缓时,这种影响会更加剧烈。对比发现,经典连续体下的有限元分析在考虑这两种特性耦合时很难通过计算得到可靠的超载安全系数,并且存在明显的网格依赖性缺陷,而在Cosserat连续体下的有限元分析能够有效克服这些问题,并且得到合理的计算结果。

关键词: 强度各向异性, 应变软化, 边坡稳定性, 重度增加法, Cosserat连续体

Abstract: Considering the Drucker-Prager constitutive model under Cosserat continuum theory, the finite element analysis of slope stability is conducted by coupling the characteristics of strength anisotropy and strain softening of soil. Numerical simulation is carried out by the secondary development of finite element software ABAQUS, and then the slope stability analysis is conducted based on the gravity increase method. The method of microstructure tensor combined with stress invariant is used to consider the anisotropy of cohesion, which is compared with the classical Casagrande anisotropy method commonly used in slope stability analysis. It is proved that the method of microstructure tensor combined with stress invariant is more reasonable in theory and numerical analysis. By simulating the relevant examples, it is found that strength anisotropy and strain softening have great effects on the overloading safety factor of the slope, especially when the slope angle is slow. The comparative study demonstrates that it is difficult to obtain the reliable overloading safety factor by the classical continuum finite element analysis coupling strength anisotropy and strain softening, and there is an obvious mesh-dependent defect. However, the Cosserat continuum finite element analysis can effectively overcome these problems and maintain the well-posedness of strain localization caused by the strength anisotropy and strain softening. Thus, the effective results are obtained.

Key words: strength anisotropy, strain softening, slope stability, gravity increase method, Cosserat continuum

中图分类号: 

  • TU431
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