Studies on Unequal Acreage D—P Criterion Based on M-C Criterion and Its Application

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.