On Dynamical Systems at the Portevin-Le Chatelier Effect

Peter B. Béda

doi:10.4028/www.scientific.net/KEM.340-341.301

Paper Titles

Evaluation of Dynamic Behaviors and Damage Mechanism of Ancient Timber Architectures
p.277

The Effect of Strain Rate on the Material Characteristics of Nickel-Based Superalloy Inconel 718
p.283

A Dynamic Damage Model for Uniaxial Compressive Response of AD90 Alumina
p.289

Three Modes of Penetration Mechanisms of A3 Steel Cylindrical Projectiles Impact onto 45 Steel Plates
p.295

On Dynamical Systems at the Portevin-Le Chatelier Effect
p.301

Periodic Motions and Bifurcations of a Plastic Impact Machine
p.307

Improvement of Measurement Accuracy of Non-Coaxial Hopkinson Bar Method
p.313

Deformation and Failure Behaviors of PC/ABS (50/50) Blends under Impact
p.319

Finite Element Analysis of Alternate Hard and Soft Multi-Layers under Circumscription Loading
p.325

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On Dynamical Systems at the Portevin-Le Chatelier Effect

Abstract:

This paper studies Portevin-Le Chatelier (PLC) effect as a form of dynamic material instability. In such phenomenon negative rate dependence is coupled with the appearance of a selfsustained oscillatory behavior in solid bodies. The tools of the investigation are of the theory of dynamical system. By selecting a proper form of the constitutive equation of the rate dependent material, a dynamical system will be constructed from the basic equations of continua. Then the birth of a self-sustained oscillation is detected at the conditions of a dynamic material instability mode. This results show an interpretation of PLC as a flutter type of loss of material stability.