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Sufficient conditions under which principal directions of stress and strain rate must coincide are established rigorously. It is the coincidence of these directions which permits a proper interpretation of principal strain rate components in principal stress space. Introduction. A rigid perfectly plastic solid is characterized by a "yield" or "limit" surface /( where a',-is the stress deviator tensor) then normality requires that for some scalar X, ei; = X(3//3o-i,) = XaJ,-; coincidence ofdoi:10.1090/qam/99825 fatcat:yvhqd354qreotou7hedzitvz5i