LEADER 03959nam 2200637Ia 450 001 9910969095403321 005 20251117063216.0 010 $a1-60741-278-0 035 $a(CKB)1000000000786428 035 $a(EBL)3018547 035 $a(SSID)ssj0000206450 035 $a(PQKBManifestationID)11174503 035 $a(PQKBTitleCode)TC0000206450 035 $a(PQKBWorkID)10214117 035 $a(PQKB)10157322 035 $a(MiAaPQ)EBC3018547 035 $a(Au-PeEL)EBL3018547 035 $a(CaPaEBR)ebr10660408 035 $a(OCoLC)429919528 035 $a(BIP)33529053 035 $a(BIP)25774909 035 $a(EXLCZ)991000000000786428 100 $a20090129d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMultifractal analysis of unstable plastic flow /$fM.A. Lebyodkin, T.A. Lebedkina and A. Jacques 205 $a1st ed. 210 $aNew York $cNova Science$d2009 215 $a1 online resource (95 p.) 300 $aDescription based upon print version of record. 311 08$a1-60692-468-0 320 $aIncludes bibliographical references and index. 327 $aIntro -- 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. 330 $aInterestin 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. 606 $aUnsteady flow (Fluid dynamics) 606 $aPlasticity 606 $aRheology 606 $aMultifractals 615 0$aUnsteady flow (Fluid dynamics) 615 0$aPlasticity. 615 0$aRheology. 615 0$aMultifractals. 676 $a531.385 700 $aLebyodkin$b M. A$01869721 701 $aLebedkina$b T. A$01869722 701 $aJacques$b A$01869723 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910969095403321 996 $aMultifractal analysis of unstable plastic flow$94477947 997 $aUNINA