Symmetry-adapted single crystal yield criterion for non-Schmid materials

All yield criteria that determine the onset of plastic deformation in crystalline materials must be invariant under inversion symmetry associated with a simultaneous change sign slip direction and plane normal. We demonstrate consequences this on functional form effective stress, where only lowest order terms obey are retained. A particular criterion is obtained for do not Schmid law, hereafter called non-Schmid materials. Application model to body-centered cubic hexagonal close-packed metals shows which conditions stress become significant predicting yielding. In special case, contributions all stresses vanish, reduces maximum shear theory Tresca.