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.