Generalized nonlinear strength and general mobilized plane

Corresponding to the extended Mises criterion, the stress ratio of the shear stress to the normal stress on the octahedral plane is a constant. Corresponding to the spatially mobilized plane (SMP) criterion, the stress ratio on the SMP is a constant. The generalized nonlinear strength theory (GNST) covers most of nonlinear failure criteria. Corresponding to the GNST, there should be a plane in the physicalspace on which the stress ratio is a constant. The conception of general mobilized planes (GMP) was proposed, which are between the octahedral plane and the SMP. The stress ratio on the GMP is a constant corresponding to the GNST. The expression of the stress ratio on the GMP and the failure surface in the principal stress space were also given. It can be concluded from the detailed analysisand comparison that the GMP consists with the GNST for describing the failure of materials.