Abstract

Based on the observation that plastic behavior is a macroscopic manifestation of the motion and interaction of dislocations, a plasticity theory is proposed that represents a connecting link between solid state physics and the conventional plasticity and viscoplasticity theories. The dislocation picture is described-for a slip system a—by means of A a I (immobile dislocation densities), A a M (mobile dislocation densities), and the dislocation speeds V a . Suitable constitutive equations are introduced for V a and the time rate of change of A a I , A a M .A two-dimensional extension of a rigid-viscoplastic body is analyzed to illustrate the nature of the proposed theory.

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