Equivalent Transformation of Principle Stress on the Deviatoric Plane and It's Application

A equivalent transformation between principle stress and the coordinate of the dviatoric plane is deduced through coordinate transformation, which make it is convenient to get the track of failure criteria on dviatoric plane. With the equivalent transformation,tracks of the Mohr-Coulomb failure criterion, the generalized Mises failure criterion and the SMP failure criterion on the dviatoric plane are studied. Some expressions of parameters of corresponding criterions are got through comparing the positional relationship between different failure criterions. It is verified that the expressions of parameters are consistent with the existed conclusions.