A Representation of Elastic-Viscoplastic Strain-Hardening Behavior for Generalized Straining Histories.
Abstract:
A theory of elastic-viscoplastic, strain-hardening material behavior has been developed which is motivated in part from concepts of dislocation dynamics. The basis of the formulation is the separation of the total deformation rate into elastic geometrically reversible and inelastic geometrically irreversible components at all stages of loading and unloading. The constitutive equations are relations between the deformation rate components and state variables which, in the present stage of formulation, are the stress and the total plastic work which is introduced as the measure of strain-hardening. The same equations hold at all stages of deformation which makes the formulation suitable for computer solution of structural problems involving complicated loading histories. Some examples are given illustrating the application of the constitutive equations to variable straining histories and to structural problems. The description of the anelastic properties of materials by means of the general formulation is also discussed. Author