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冰川冻土 ›› 2023, Vol. 45 ›› Issue (3): 1105-1115.doi: 10.7522/j.issn.1000-0240.2023.0085

• 寒区工程与灾害 • 上一篇    

基于微极理论的冻结砂土应变局部化数值模拟

王冬勇1,2(), 邵博1, 马玲3, 齐吉琳1,2(), 彭丽云1,2   

  1. 1.北京建筑大学 土木与交通工程学院,北京 100044
    2.北京建筑大学 城市交通基础设施建设北京市国际科技合作基地,北京 100044
    3.北方民族大学 土木工程学院,宁夏 银川 750030
  • 收稿日期:2022-11-28 修回日期:2023-01-26 出版日期:2023-06-25 发布日期:2023-08-30
  • 通讯作者: 齐吉琳 E-mail:wangdongyong@bucea.edu.cn;jilinqi@bucea.edu.cn
  • 作者简介:王冬勇,讲师,主要从事计算岩土力学研究. E-mail: wangdongyong@bucea.edu.cn
  • 基金资助:
    国家自然科学基金项目(42002277);北京建筑大学金字塔人才培养工程项目(JDYC20220807)

Numerical simulation of strain localization for frozen sand based on micropolar theory

Dongyong WANG1,2(), Bo SHAO1, Ling MA3, Jilin QI1,2(), Liyun PENG1,2   

  1. 1.School of Civil and Transportation Engineering,Beijing University of Civil Engineering and Architecture,Beijing 100044,China
    2.Beijing International Science and Technology Cooperation Base for Urban Transportation Infrastructure Construction,Beijing University of Civil Engineering and Architecture,Beijing 100044,China
    3.School of Civil Engineering,North Minzu University,Yinchuan 750030,China
  • Received:2022-11-28 Revised:2023-01-26 Online:2023-06-25 Published:2023-08-30
  • Contact: Jilin QI E-mail:wangdongyong@bucea.edu.cn;jilinqi@bucea.edu.cn

摘要:

应变局部化问题是冻土材料破坏的前兆,目前相关研究还较为薄弱。在微极连续体理论框架下,通过考虑温度对相关模型参数的影响,建立了可以模拟冻土应变局部化问题的微极弹塑性数值框架。通过对冻结砂土平面应变试验进行数值分析,发现所建立的数值框架可实现对冻土剪切带产生、发展和形成的全过程模拟,且模拟获得的应力-应变曲线及剪切带破坏形态与试验结果吻合较好;进而探究了温度、端部约束及初始缺陷对剪切带发展规律的影响,发现温度对剪切带倾角和宽度影响较为显著,倾角随温度的降低而逐渐增大,宽度随温度的降低而逐渐加宽,具体剪切带的破坏形态和破坏位置需要综合考虑端部约束及初始缺陷的共同作用;通过对不同有限元网格条件下的冻土应变局部化进行分析,发现粗网格和细网格获得的模拟结果基本一致,说明所建立的数值框架可以基本克服网格依赖性问题。

关键词: 冻结砂土, 微极理论, 应变局部化, 平面应变, 数值模拟

Abstract:

Strain localization is the precursor of the failure of frozen soil. So far, the research on strain localization of frozen soil is relatively weak. A micropolar elastoplastic numerical framework is established to simulate the strain localization of frozen soil by considering the effect of temperature. Through numerical simulation of plane strain test of frozen sand, it is found that the process of the generation, development and formation of shear bands of frozen soil can be simulated by the established numerical framework, and the stress-strain curve and shear band are in good agreement with the test results. Besides, the effects of temperature, end restraints and initial defects on the shear band are investigated. The angle and the width of the shear band increase with the decrease of temperature, and the specific failure mode and location of the shear band are closely related to the initial defects and end restraints. Through the simulation analysis for different finite element mesh, it can be observed that the simulation results obtained based on the coarse mesh are consistent with the fine mesh, which indicates that the mesh-dependent problem can be basically avoided.

Key words: frozen sand, micropolar theory, strain localization, plane strain, numerical simulation

中图分类号: 

  • TU445