On the Relation between Two Constitutive Models Frequently Adopted in Viscoplasticity

Abstract

The constitutive models of plasticity and viscoplasticity are formulated in a unified framework by taking advantage of the appropriate mathematical tools of convex analysis and subdifferential calculus. Two viscoplastic constitutive models frequently adopted in viscoplasticity are analyzed, the Duvaut and Lions viscoplastic constitutive model and the Perzyna viscoplastic constitutive model. In literature these two models are frequently adopted as alternatives. In the present paper it is discussed on the relation between the two models and it is shown that, under certain conditions and assumptions, the Duvaut-Lions model may be considered as derived from the Perzyna model.

Innovative Strategy to Reduce the Seismic Vulnerability of a RC Existing Building: Assessment and Retrofitting

“…For constitutive modeling of hysteretic inelastic problems see e.g. De Angelis [14][15] [16][17] [18][19] [20] and De Angelis and Cancellara [21] [22]. For the development of numerical algorithms in finite element applications, see e.g.…”