Multifractal analysis of unstable plastic flow / M.A. Lebyodkin, T.A. Lebedkina and A. Jacques.

Format:

Book

Author/Creator:

Lebyodkin, M. A.

Contributor:

Lebedkina, T. A.

Jacques, A.

Language:

English

Subjects (All):

Unsteady flow (Fluid dynamics).

Plasticity.

Rheology.

Multifractals.

Physical Description:

1 online resource (95 p.)

Edition:

1st ed.

Place of Publication:

New York : Nova Science, 2009.

Language Note:

English

Summary:

Interestin the application of multifractal analysis to plastic flow instability is twofold. On the one hand, the unstable, or jerky, flow is a self-organization phenomenon which exhibits a great wealth of behavior. It may be associated to various microscopic instability mechanisms, whereas the same microscopic mechanism may result in various dynamic regimes including deterministic chaos and self-organized criticality. On the other hand, the study of the concomitant dynamics may shed light on the collective behavior of dislocations and their interaction with other crystal defects.The investigations of the fractal properties of serrated deformation curves started several years ago on the case of the Portevin-Le Chatelier (PLC) effect - the jerky flow of alloys, caused by the dislocation-solute interaction. Specifically, it was found that the multifractal analysis makes possible a quantitative characterization of the distinct dynamical regimes of the PLC effect, which are related to its traditional classification based on the kinetics of the deformation bands giving rise to the serrations, and on the resulting shape of the deformation curves.This book reports the recent progress in the experimental investigation of the PLC effect by multifractal analysis.

Contents:

Intro

MULTIFRACTAL ANALYSIS OF UNSTABLE PLASTIC FLOW

NOTICE TO THE READER

CONTENTS

PREFACE

INTRODUCTION

UNSTABLE PLASTIC FLOW

2.1. The Nature of Plastic Instability

2.2. Portevin-Le Chatelier Effect

MULTIFRACTAL ANALYSIS

3.1. Fractal Dimensions

3.2. Multifractals

3.3. Numerical Implementation of the Multifractal Analysis

3.4. Effect of Noise and Data Truncation

EXPERIMENTAL TECHNIQUE AND ANALYSIS OF DEFORMATION CURVES

4.1. Recording of Deformation Curves

4.2. Preparation of Time Series for the Analysis

EXPERIMENTAL INVESTIGATIONS OF PLASTIC INSTABILITY

5.1. Multifractal Structure of Type C Curves

5.2. Multifractal Analysis of Type B Serrations

5.3. The Overall Behavior of the PLC Instability

5.4. Plastic Instability in Austenitic Fe-Mn-C Steels

CONCLUSION

ACKNOWLEDGEMENTS

REFERENCES

INDEX.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-60741-278-0

OCLC:

429919528