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不同排水条件下非饱和土中柱孔扩张问题的解析分析

周凤玺 牟占霖 杨汝贤 张雅森

周凤玺, 牟占霖, 杨汝贤, 张雅森. 不同排水条件下非饱和土中柱孔扩张问题的解析分析[J]. 力学学报, 2021, 53(5): 1496-1509. doi: 10.6052/0459-1879-20-439
引用本文: 周凤玺, 牟占霖, 杨汝贤, 张雅森. 不同排水条件下非饱和土中柱孔扩张问题的解析分析[J]. 力学学报, 2021, 53(5): 1496-1509. doi: 10.6052/0459-1879-20-439
Zhou Fengxi, Mu Zhanlin, Yang Ruxian, Zhang Yasen. ANALYTICAL ANALYSIS ON THE EXPANSION OF CYLINDRICAL CAVITY IN UNSATURATED SOILS UNDER DIFFERENT DRAINAGE CONDITIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1496-1509. doi: 10.6052/0459-1879-20-439
Citation: Zhou Fengxi, Mu Zhanlin, Yang Ruxian, Zhang Yasen. ANALYTICAL ANALYSIS ON THE EXPANSION OF CYLINDRICAL CAVITY IN UNSATURATED SOILS UNDER DIFFERENT DRAINAGE CONDITIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1496-1509. doi: 10.6052/0459-1879-20-439

不同排水条件下非饱和土中柱孔扩张问题的解析分析

doi: 10.6052/0459-1879-20-439
基金项目: 1)国家自然科学基金(11962016);国家自然科学基金(51978320)
详细信息
    作者简介:

    2)周凤玺, 教授, 主要研究方向: 岩土力学、复合材料结构力学. E-mail: geolut@163.com

    通讯作者:

    周凤玺

  • 中图分类号: TU431

ANALYTICAL ANALYSIS ON THE EXPANSION OF CYLINDRICAL CAVITY IN UNSATURATED SOILS UNDER DIFFERENT DRAINAGE CONDITIONS

  • 摘要: 现有的圆柱孔扩张理论已可为诸如石油工程中井筒稳定性鉴定、 及旁压和圆锥贯入实验分析等提供理论依据, 但在非饱和地基压力注浆, 复合地基处理等实际工程问题中却鲜有应用. 基于弹塑性理论和非饱和土力学原理, 采用统一强度理论, 对非饱和土中柱形小孔扩张问题进行了解析研究. 首先将柱孔周围土体分为弹性区和塑性区, 并考虑在弹性区遵循小应变理论, 在塑性区遵循大应变理论, 同时考虑了中间主应力及粒间吸力对非饱和土体强度的影响. 其次应用有效应力表示的统一强度准则, 在本构关系、几何方程、动量平衡方程等基本方程的基础上, 结合相应的边界条件, 最终获得了不同排水条件下柱孔扩张时周围弹塑性区域内的应力场、应变场、位移场及极限扩孔压力的解析表达式. 通过数值算例和参数分析, 在与现有的饱和及非饱和土中柱孔扩张理论进行退化验证的同时, 分析了吸力、剪胀参数、中主应力效应参数及初始径向有效应力等对弹塑性区域内的应力场、应变场及位移场的影响规律, 验证了本文理论的正确性及有效性, 以期为实际工程问题提供合理的理论依据.

     

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  • 收稿日期:  2020-12-20
  • 刊出日期:  2021-05-18

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