土工基础 ›› 2026, Vol. 40 ›› Issue (2): 288-295.

• 专题论述 • 上一篇    下一篇

砂土双屈服面的非线性和圆滑描述

李涛1,2,3,李星乐4,周基1,周志武1,张波1   

  1. (1.湖南科技学院砖石质文物智慧化保护利用技术湖南省重点实验室,湖南永州 425199;2.南宁学院,南宁 530299;
    3.南宁市建筑规划设计集团有限公司,南宁 530002;4.湖南科技学院土木与环境工程学院,湖南永州 425199)
  • 收稿日期:2024-11-20 修回日期:2024-12-25 出版日期:2026-04-30 发布日期:2026-04-23
  • 通讯作者: 周基(1982-),男,博士,教授,研究方向为防灾减灾及防护工程。
  • 作者简介:李涛(1986-),男,博士,高级工程师,研究方向为岩土力学。
  • 基金资助:
    广西科技计划项目(桂科AD23026260);砖石质文物智慧化保护利用技术湖南省重点实验室开放课题(HUSE-2024-23);湖南科技学院博士科研启动项目(湘科院[2023]75号)

Nonlinear and Smooth Descriptions of the Double Yield Surfaces for Sands

LI Tao1,2,3, LI Xingle4, ZHOU Ji1, ZHOU Zhiwu1, ZHANG Bo1   

  1. (1.Hunan Provincial Key Laboratory of Intelligent Protection and Utilization Technology in Masonry Artifacts, Hunan University of Science and Engineering, Yongzhou 425199;
    2.Nanning University, Nanning 530299;
    3.Nanning Architectural Planning and Design Group Co. Ltd., Nanning 530002;
    4.School of Civil and Environmental Engineering, Hunan University of Science and Engineering, Yongzhou 425199)
  • Received:2024-11-20 Revised:2024-12-25 Online:2026-04-30 Published:2026-04-23

摘要: 以饱和砂土的屈服面为研究对象,旨在改进砂土的本构模型中剪切屈服准则和体积屈服准则。提出一种新型非线性剪切屈服准则和改进的体积屈服准则。新型剪切屈服准则采用二次多项式描述剪切屈服面;改进的体积屈服准则结合了椭圆、线性和圆滑函数描述体积屈服面。通过Ottawa砂和Earls Creek砂的三轴压缩试验数据验证了这些准则。研究表明,非线性剪切屈服准则能描述剪切屈服面在q-p平面上随有效平均应力增大而呈现的非线性增长,且剪切屈服面不通过q-p平面的原点的现象。改进的体积屈服准则可描述q-p平面上的体积屈服面的剪缩和剪胀部分随围压的增大而向p轴正方向移动和变形的现象,以及体积屈服面处处光滑的现象。新准则能准确描述砂土的屈服特性,对推进土体本构模型理论发展具有参考意义。


关键词: 岩土力学, 非线性, 圆滑, 剪切, 体积, 屈服准则

Abstract: The performance of the yield surfaces of saturated sand is presented in this paper. The objective of this study is to improve the shear yield criterion and volumetric yield criterion in the constitutive model of sand material. A new type of nonlinear shear yield criterion and an improved volumetric yield criterion are proposed. The new shear yield criterion adopts a quadratic polynomial to describe the shear yield surface. The improved volumetric yield criterion combines ellipse, linear and smooth functions to describe the volumetric yield surface. These criteria are verified by the triaxial compression test data of Ottawa sand and Earls Creek sand. The research shows that the nonlinear shear yield criterion can describe the nonlinear growth of the shear yield surface on the q-p plane with the increase of the effective mean stress, as well as the phenomenon that the shear yield surface does not pass through the origin of the q-p plane. The improved volumetric yield criterion can describe the phenomena that the contractive and dilatant parts of the volumetric yield surface on the q-p plane move and deform in the positive direction of the p axis with the increase of the confining pressure, and that the volumetric yield surface is smooth everywhere. The results indicate that the new criteria can accurately describe the yield characteristics of sands and are of great significance for promoting the theoretical development of the soil constitutive model.

Key words: Rock and Soil Mechanics, Nonlinear Properties, Smooth, Shear, Volume, Yield Criteria

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