PROVING OF YIELD CRITERION OF MISES GEOMETRIC SHAPE IN PLASTIC MECHANICS TEACHING

It is difficult for students to understand the yield criterion in the plastic mechanics. The plane ellipse and spatial cylindrical trajectory of Mises yield criterion was proved based on the method of coordinate transformation and geometric projection. Furthermore, from the similarities and differences of mathematical expressions, the internal and external relations and geometric shape of Tresca and Mises yield criterions were investigated in the paper. The research is helpful for students to understand the yield criterion.