Abstract：Based on the description of Mohr-Coulomb(M-C) and Drucker-Prager(D-P) yield criteria with invariant of stress，a formula for error estimation of unit strain energy between the two stress states is established in the deviatoric plane of the principal stress space，which satisfies M-C and D-P yield criteria respectively. A general procedure to transform M-C material parameters to D-P analysis parameters is obtained. The results show that general calculation formula，error estimation for parameters matching from M-C to D-P are provided；and an explanation of mechanics meaning of matching is presented as well. It is also shown that the differences among parameters matching methods are brought by different error control conditions；and the zero error of energy in the deviatoric plane can be expressed by Lode angle or stress path. Furthermore，the multivalue of Lode angle according to zero error of energy and the equivalency of serials of D-P criteria are discussed.
