›› 2017, Vol. 38 ›› Issue (2): 400-408.doi: 10.16285/j.rsm.2017.02.013

• 基础理论与实验研究 • 上一篇    下一篇

基于修正Drucker-Prager准则的岩石次加载面模型

周永强,盛 谦,朱泽奇,付晓东   

  1. 中国科学院武汉岩土力学研究所 岩土力学与工程国家重点实验室,湖北 武汉 430071
  • 收稿日期:2015-04-01 出版日期:2017-02-11 发布日期:2018-06-05
  • 作者简介:周永强,男,1990年生,博士,主要从事岩土工程领域的科研工作。
  • 基金资助:

    国家重点基础研究发展计划(973)项目(No. 2015CB057905);国家自然科学基金项目集成项目(No. 91215301);国家自然科学基金资助项目(No. 11272331)。

Subloading surface model for rock based on modified Drucker-Prager criterion

ZHOU Yong-qiang, SHENG Qian, ZHU Ze-qi, FU Xiao-dong   

  1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, China
  • Received:2015-04-01 Online:2017-02-11 Published:2018-06-05
  • Supported by:

    This work was supported by the National Program on Key Basic Research Project of China (973 Program) (2015CB057905), the Integration Project of the National Natural Science Foundation of China (91215301) and the National Natural Science Foundation of China(11272331).

摘要: 为模拟岩石在循环加、卸载作用下的变形特性,结合Drucker-Prager(简称D-P)屈服准则与次加载面理论,建立了能考虑岩石材料实际抗拉强度和应力角效应的循环加、卸载模型。首先考虑岩石在三轴压缩和在三轴拉伸状态下不同的强度特性,在传统的D-P屈服准则中引入角隅模型,并借鉴殷有泉提出的D-P-Y准则,形成了修正的D-P屈服准则;进一步结合修正屈服准则和次加载面理论,提出了适用于岩石循环加、卸载的次加载面模型,并通过自编程序,实现了循环加、卸载模型的数值表达与岩石循环加、卸载试验数值仿真。计算结果表明,基于修正D-P屈服准则的次加载面模型能较好地描述岩石的曼辛效应和棘轮效应;通过改变抗拉强度的大小,可以发现随着抗拉强度的减小,岩石的变形量相应增加,且增加的幅度逐渐提高,说明修正模型可准确反映抗拉强度对岩石的循环加、卸载变形的影响。

关键词: 应力角效应, 拉剪区, 修正的D-P准则, 次加载面, 循环加载

Abstract: To simulate the deformation behavior of rocks under cyclic loading and unloading, a cyclic loading-unloading model is developed based on Drucker-Prager (D-P) yield criterion and the subloading surface theory. Tensile strength and stress angle effect are considered in this model. By introducing the corner model into the traditional D-P yield criterion, and referring the D-P-Y yield criterion proposed by Yin Youquan, a modified D-P yield criterion is put forward on the basis of strength characteristics of rocks under triaxial compression and tension. According to the modified yield criterion and the subloading surface theory, a subloading surface model for rock under cyclic loading and unloading is proposed. Numerical verification of this model is conducted by programing. The results show that the subloading surface model can be used to represent the Mansingh reaction and the ratchet effect of rock. As the tensile strength decreases, the deformation of rock increases, and the rate of increase is gradually improved, which demonstrates that the modified model can be used to well reflect the effect of tensile strength on the deformation of rock under cyclic loading and unloading.

Key words: stress angle effect, tensile shear region, modified Drucker-Prager criterion, subloading surface, cyclic loading-unloading

中图分类号: 

  • TU 452

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