A Critical Review of von Mises Criterion for Compatible Deformation of Polycrystalline Materials

A von Mises criterion for compatible deformation states that five independent slip systems must operate polycrystals to deform uniformly and without failure at the grain boundaries, which is supported by Taylor–Bishop–Hill theory or simply Taylor model, defining laws of plastic polycrystalline aggregates being one key cornerstones crystal plasticity theory. However, has fundamental flaws as it based on an unfounded correlation between phenomenological material flow behaviour in continuum mechanics structure dependent dislocation slip, there been no experimental evidence show simultaneous operation systems. In this paper, Von model are revisited examined critically, issues related requirement selection active addressed. Detailed analysis performed stress state eliminates possibility systems, relative displacement vector due defines quantity strain can be expressed a tensor, instead individual components. Discussions made demonstrate although three linearly essentially sufficient deformation, system, selected according Schmidt law, dominates time characteristic domain accommodation occurs grains domains rather than each point.