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三轴试验抗剪强度指标线性回归方法的讨论
引用本文:陈立宏,陈祖煜,李广信.三轴试验抗剪强度指标线性回归方法的讨论[J].岩土力学,2005,26(11):1785-1789.
作者姓名:陈立宏  陈祖煜  李广信
作者单位:1. 北京交通大学,土建学院,北京,100044
2. 中国水利水电科学研究院,北京100044
3. 清华大学,土木水利学院,北京,100084
基金项目:北京交通大学人才科研基金(No.2003RC030).
摘    要:利用线性回归统计抗剪强度指标是岩土工程中的常用手段。对于常规三轴试验,可以通过线性拟合p-q曲线或者拟合大小主应力的方法来求解抗剪强度参数,并给出了这两种方法的完整计算公式,同时应用矩法和线性回归方法统计了小浪底64组320个固结排水三轴试验和多个水利工程大坝填筑料的试验资料,发现对于常规三轴试验,拟合p-q曲线求解抗剪强度参数存在高估摩擦系数、低估粘聚力的问题:利用概率理论对两种方法进行了对比分析也发现了同样的趋势。因此,根据常规三轴试验统计抗剪强度参数时采用直接拟合大小主应力更为合理。

关 键 词:抗剪强度  线性回归  三轴试验
文章编号:1000-7598-(2005)11-1785-05
收稿时间:2004-04-09
修稿时间:2005-01-20

Discussion of linear regression method to estimate shear strength parameters from results of triaxial tests
CHEN Li-hong,CHEN Zu-yu,LI Guang-xin.Discussion of linear regression method to estimate shear strength parameters from results of triaxial tests[J].Rock and Soil Mechanics,2005,26(11):1785-1789.
Authors:CHEN Li-hong  CHEN Zu-yu  LI Guang-xin
Institution:1. School of Civil Engineering and Architecture, Beijing Jiatong University, Beijing 100044, China; 2. China Institute of Water Resources and Hydropower Research, Beijing 100044, China; 3. Department of Hydraulic and Hydropower Engineering, Tsinghua University, Beijing 100084, China
Abstract:Shear strength parameters are most important factors to evaluate the stability and economical efficiency of a geotechnical project. One of the most effective and mainly used ways to estimate the shear strength parameters is linear regression method. The shear strength parameters can be calculated either by regressing maximum shear stress with average normal stress or regressing maximum principal stress with minor principal stress. The equations to apply these two methods are introduced, These methods and moment method are applied to calculate the shear strength parameters of core clay in Xiaolangdi Dam with 320 triaxial tests and clay of several other embankments; and the results show that the cohesive strength is underestimated and friction strength is overestimated by regressing maximum shear stress with average normal stress will the standard deviation and relation coefficient decreased when the sample size increased. The theoretical analysis also reveals this trend. The theoretical analysis based on probability also reveals that trend. So the method regressing maximum principal stress with minor principal stress not regressing maximum shear stress with average normal stress should be chosen when estimating shear strength parameters from conventional triaxial tests.
Keywords:soil shear strength  linear regression  triaxial shear test
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