Small-deformation theory

Abstract The small-deformation theory of elastic-plastic response, due to Prandtl and Reuss, is the basis of most analytical treatments of elastic-plastic behavior. This model is examined from a modern perspective. The shifter concept is combined with the convected coordinate formalism to cast the theory in a manner that ensures its invariance under a change of frame, in contrast to conventional expositions of the small-deformation theories of elasticity and elasto-plastic response