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基于M—C准则的差异面积D—P准则及其应用研究
引用本文:马龙祥,姚虎.基于M—C准则的差异面积D—P准则及其应用研究[J].岩土工程技术,2010,24(6):271-276,286.
作者姓名:马龙祥  姚虎
作者单位:北京交通大学土建学院,北京100044
摘    要:为了克服基于M-C准则的D-P系列准则缺乏明确物理意义的缺点,提出了基于M-C准则的一个新D—P准则——差异面积D—P准则。差异面积反映的是M-C和D—P两准则在偏平面上投影不重合区域的面积,在同一个偏平面上该面积越小,认为两准则近似程度越高。而差异面积D—P准则是在偏平面上使得与M-C准则差异面积近似最小的D—P准则,因此认为它是对M-C准则最为合理的D—P准则近似。通过分析,推导了D—P准则和M-C准则在偏平面上的差异面积表达式,进而给出了差异面积D—P准则,得到了等效圆的洛德角及值。此外,还得到了差异面积D—P准则相对于外角点外接D—P准则的折减系数,方便了工程府用。最后将蒡异面积D—P准则运用干访埔分析当中。证明了该方法旱可行的.

关 键 词:屈服准则  差异面积  合理近似  边坡分析

Studies on Unequal Acreage D-P Criterion Based on M-C Criterion and Its Application
Ma Longxiang,Yao Hu.Studies on Unequal Acreage D-P Criterion Based on M-C Criterion and Its Application[J].Geotechnical Engineering Technique,2010,24(6):271-276,286.
Authors:Ma Longxiang  Yao Hu
Institution:Ma Longxiang Yao Hu (School of Civil and Architectural Engineering, Beijing Jiaotong University, Beijing 100044, China)
Abstract:In order to overcome the shortcoming that Drueker-Prager yield criterions based on Mohr-Uoulomb vield criterion lack of clear physical meanings, a new D--P criterion based on M-C criterion is proposed, which is called unequal acreage D--P criterion. The unequal acreage reflects the acreage of non-overlapping areas in the partial plane between MC and D--P criterions. In the same partial plane, the smaller the unequal area is, the higher the degree of approximation of these two crite- rions is. The unequal acreage D--P criterion is a criterion that makes the unequal acreage with M-C criterion in the partial plane approximately smallest, so it is the most reasonable D--P criterion in these D--P criterions which is developed to approximate M-C criterion. Through analysis, the expression of unequal acreage in the partial plane between D--P criterion and M-C criterion is obtained. Then unequal acreage D--P criterion is given and Lode angle of the equivalent circle is also obtained. In addi- tion, reduction factor of unequal acreage D--P criterion relative to external angle point circumcircle D--P criterion is given, so that the engineering application is made convenient. Finally, the unequal acreage D--P criterion is used in the slope analysis, and it is proved that the method is feasible.
Keywords:yield criterion  unequal acreage  reasonable approximation  slope analysis
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