On Constitutive Relations in Non-Smooth Elasto/Viscoplasticity

Fabio de Angelis

doi:10.4028/www.scientific.net/AMR.566.691

Paper Titles

Twin Tube Shock Absorber Thermo-Mechanical Coupling Simulation
p.669

Transonic Drag Prediction on a DLR-F6 Transport Configuration
p.676

Error Modeling and Simulation Analysis for the Vehicle Launching System Erecting
p.680

Research on Network Examination System Model Based on Multi-AGENT
p.685

On Constitutive Relations in Non-Smooth Elasto/Viscoplasticity
p.691

Dynamic Characteristic Analysis of the Spindle of Planer Drilling Machine Based on ANSYS
p.699

Analysis of the Symmetry for a Rotating Strapdown Inertial Navigation System
p.703

Design and Implementation of a Online Network User Behavior Analysis System
p.707

Waveband Selection for FTIR/ATR Spectroscopy Analysis of Total Cholesterol in Human Serum
p.712

HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 566On Constitutive Relations in Non-Smooth...

On Constitutive Relations in Non-Smooth Elasto/Viscoplasticity

Abstract:

A general treatment of constitutive relations in elastoplasticity and elasto/viscoplasticity is presented. The treatment holds for general non-smooth problems and it applies to non-smooth yield criteria and to functions characterized by non-differentiability. The formulation is developed by resorting to the tools provided by convex analysis and subdifferential calculus which are the appropriate instruments for dealing with convex criteria and non-smooth functions. General formulations of constitutive relations and evolutive laws are presented for elastoplasticity and elasto/viscoplasticity and connections are illustrated between the general elastoplastic model problem and the general elasto/viscoplastic model problem. The presented generalized treatment proves to be well-suited for the development of variational formulations for structural problems in elastoplasticity and elasto/viscoplasticity.