Determination of stress-strain state and strength of structural elements on the basis of strain-hardening analysis

We outline the fundamentals of the method whereby the stress-strain state and strength of structural elements loaded along linear paths and small-curvature paths are determined by allowing for strain hardening of material of the structure or plastic indicators attached to it. The method is based on a model of hardening which assumes that during the deformation beyond an elastic range the loading surface separating elastic and elastoplastic deformation ranges changes its shape and shifts in the direction of the vector which connects its center and an image point on the loading path. It is assumed that the material in its initial state is isotropic and the hypotheses for the unified stress-strain curve and for the proportionality of stress and strain deviators are met. © 2005 Springer Science + Business Media, Inc.