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考虑中间主应力Hoek-Brown强度准则及其适用性
引用本文:王国安,马林建,刘新宇,易其康,高 磊. 考虑中间主应力Hoek-Brown强度准则及其适用性[J]. 岩土力学, 2015, 36(8): 2291-2297. DOI: 10.16285/j.rsm.2015.08.023
作者姓名:王国安  马林建  刘新宇  易其康  高 磊
作者单位:1.解放军理工大学 国防工程学院 爆炸冲击防灾减灾国家重点实验室,江苏 南京 210007; 2.南京理工大学 机械工程学院,江苏 南京 210094;3.解放军第四零四医院,山东 威海 264200
基金项目:国家重点基础研究发展计划(973计划)(No. 2013CB036005);国家自然科学创新研究群体基金(No. 51021001);国家青年科学基金 (No. 51309234);江苏省青年科学基金(No. BK20130065)。
摘    要:为考虑中间主应力对岩石极限破坏强度作用,在广义Hoek-Brown强度准则幂率项中添加定量表征中间主应力项,构建新的三维Hoek-Brown强度准则。该准则在主应力空间是通过3个角点外接Hoek-Brown准则包络面的曲六面体,在 空间包络线是幂律型曲线。通过与Hoek-Brown准则、Drucker-Prager准则和Mogi准则分别对4组真三轴压缩强度试验数据的拟合对比分析,探讨其反映中间主应力效应的适用性。结果表明,修正的Hoek-Brown强度准则拟合试验数据效果总体最好,Mogi准则次之,Hoek-Brown准则和Drucker-Prager准则较差。从而修正的Hoek-Brown强度准则最适用于粗面岩、大理岩和花岗岩等硬脆性岩石的真三轴强度预测及中间主应力影响规律描述。

关 键 词:Hoek-Brown强度准则  中间主应力  拟合偏差  
收稿时间:2014-03-04

A new three-dimensional Hoek-Brown strength criterion considering effect of intermediate principal stress and its applicability
WANG Guo-an,MA Lin-jian,LIU Xin-yu,YI Qi-kang,GAO Lei. A new three-dimensional Hoek-Brown strength criterion considering effect of intermediate principal stress and its applicability[J]. Rock and Soil Mechanics, 2015, 36(8): 2291-2297. DOI: 10.16285/j.rsm.2015.08.023
Authors:WANG Guo-an  MA Lin-jian  LIU Xin-yu  YI Qi-kang  GAO Lei
Affiliation:1. State Key Laboratory of Disaster Prevention & Mitigation of Explosion & Impact, College of National Defense Engineering, PLA University of Science and Technology, Nanjing, Jiangsu 210007, China; 2. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China; 3. PLA 404 Hospital, Weihai, Shandong 264200, China
Abstract:To evaluate the effect of the intermediate principal stress on the ultimate strength of rock, a new three-dimensional (3D) Hoek-Brown failure criterion is established by adding a quantitative representation of the intermediate principal stress to the power-law item of the generalized Hoek-Brown failure criterion. The new failure criterion in principal stress space is a curved hexahedron circumscribing the envelope of the Hoek-Brown failure criterion through three angular points. It is a nonlinear power-law curve in the plane. Comparative study with three different rock failure criteria i.e. Hoek-Brown criterion, Drucker-Prager criterion, and Mogi (1971) criterion is conducted by fitting the triaxial test data of four different rocks. Then the applicability of four failure criteria is discussed on describing the effect of intermediate principal stress. The results show that the new 3D Hoek-Brown failure criterion fits the triaxial strength data best, followed by the Mogi (1971) criterion, whereas the Hoek-Brown criterion and the Drucker-Prager criterion have a relatively poor performance. Therefore, the new 3D Hoek-Brown failure criterion is the most suitable to predict the true triaxial strength and to describe the effect of the intermediate principal stress on trachy, marble, granite and other hard brittle rocks.
Keywords:Hoek-Brown strength criterion  intermediate principal stress  fitting error  
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