Equivalent Transformation of Mohr-Coulomb Criterion and Its Application in Slope Stability Analysis
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摘要: 通过分析比较摩尔库仑屈服准则与广义米塞斯准则的表达式,得出了α、k的统一表达式,并依据π平面上等效圆的面积与摩尔库仑屈服条件的面积相等,得到了等效圆的洛德角及值,实现了摩尔库仑屈服条件与广义米塞斯条件的统一,方便了编程计算。推导了等效圆与不同D P准则之间的函数关系,实现了摩尔库仑准则与各种D P准则的相互转换,使计算工作更加方便,边坡的计算实例表明该方法是可行的。Abstract: Deducing a general expressions by comparing and analyzing the Mohr-Coulomb yield criterion and von Mises yield criterion. Based on the condition that the area of equivalent circle equal to the area of Mohr-Coulomb yield criterion, then Lode angle of the equivalent circle is obtained, so the Mohr-Coulomb yield criterion and von Mises yield criterion achieve to unify, which makes easy program. The functional expressions relative to the equivalent area circle and every D-P criterion provide a transformation between each other, which make calculation simpler. The results show the method mentioned above is feasible.
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Key words:
- yield criterion /
- equivalent transformation /
- slope analysis
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