On the Relation between Two Constitutive Models Frequently Adopted in Viscoplasticity

Fabio de Angelis

doi:10.4028/www.scientific.net/AMM.256-259.995

Paper Titles

Experimental Study on Dynamic Performance of Mid-Rise Recycled Aggregate Concrete Shear Wall on the Shaking Table
p.973

A General Form of Constitutive Relations in Non-Smooth Elastoplasticity
p.979

Construction Technology of the Fatigue Property of CFRP Reinforce Steel Crane Beam
p.986

Experimental Comparative Study on PC Beams Dynamic Performance with Different Adhering form Prepress
p.991

On the Relation between Two Constitutive Models Frequently Adopted in Viscoplasticity
p.995

Researches on the Shear Deformation of Joints Domain of Beam-to-Column Connection of Light Steel Structure
p.1004

Square Short Wood Columns Strengthened with FRP Sheets under Compressive Load
p.1008

Experimental Study on Flexural Behavior of Damaged Concrete Beams Strengthened with NSM-CFRP Strips
p.1012

Study on the Structural Floor Design of High-Rise Buildings
p.1017

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 256-259On the Relation between Two Constitutive Models...

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.