基于M-C准则的差异面积D—P准则及其应用研究
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,方便了工程应用。最后将差异面积D—P准则运用于边坡分析当中,证明了该方法是可行的。
Abstract:In order to overcome the shortcoming that Drucker-Prager yield criterions based on Mohr-Coulomb yield 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 M-C and D-P criterions. In the same partial plane, the smaller the unequal area is, the higher the degree of approximation of these two criterions 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 addition, 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.
中文标题：
基于M-C准则的差异面积D—P准则及其应用研究
Studies on Unequal Acreage D—P Criterion Based on M-C Criterion and Its Application
作者：
马龙祥,姚虎
MA Longxiang,YAO Hu
作者简介:马龙祥,1988年生,男,汉族,四川成都人,博士研究生,主要从事隧道与地下工程、岩土工程等方面的研究。E-mail:lxma_njtu@163.com
通讯地址：
北京交通大学土建学院, 北京 100044
SchoolofCivilandArchitecturalEngineering,BeijingJiaotongUniversity,Beijing100044,China
中图分类号:TU43;TU45
doi:10.3969/j.issn.1007-2993.2010.06.001
出版物：岩土工程技术
收稿日期:2010-09-06
网络出版日期:2021-07-06
关键词:屈服准则,差异面积,合理近似,边坡分析
Key words:yield criterion,unequal acreage,reasonable approximation,slope analysis
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