Eckhaus instability - A possible wavelength changing mechanism in the evolution of dislocation patterns

Sergey Rashkeev, M. V. Glazov, F. Barlat

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Phase modulations of periodic dislocation patterns observed in transmission electron microscopy (TEM) studies of some single crystalline metals, are analyzed using the methods of nonlinear dynamics. The Ginzburg-Landau (GL) equation for the soft mode instability in the weakly nonlinear regime is derived for the Walgraef-Aifantis (WA) model for a coupled system of two populations of dislocations. The bulk of results is obtained using the GL equation, and, therefore, the results are more general than the WA-model itself. We demonstrate that phase modulations of dislocation patterns can be described using the concept of the Eckhaus instability which describes one of the most fundamental "generic" mechanisms of wavelength-changing. The timescale of wavelength-changing processes in dislocation systems can be very large when the system is close to the Eckhaus stability limit. This means that metastable phase modulations of dislocation patterns can survive nearly unchanged for a long time. The results of numerical simulations for realistic values of the parameters show that the Eckhaus instability could be the underlying physical reason of modulated ladder structures of persistent slip bands (PSBs) in cyclically deformed metallic alloys.

Original languageEnglish
Pages (from-to)230-242
Number of pages13
JournalComputational Materials Science
Volume21
Issue number2
DOIs
Publication statusPublished - 4 Aug 2001
Externally publishedYes

Fingerprint

Dislocation
Phase modulation
Phase Modulation
Wavelength
phase modulation
wavelengths
Landau-Ginzburg equations
Ginzburg-Landau Equation
Metastable phases
Ladders
edge dislocations
Transmission Electron Microscopy
ladders
Slip
Metals
Coupled System
Nonlinear Dynamics
Crystalline materials
Transmission electron microscopy
Time Scales

ASJC Scopus subject areas

  • Materials Science(all)

Cite this

Eckhaus instability - A possible wavelength changing mechanism in the evolution of dislocation patterns. / Rashkeev, Sergey; Glazov, M. V.; Barlat, F.

In: Computational Materials Science, Vol. 21, No. 2, 04.08.2001, p. 230-242.

Research output: Contribution to journalArticle

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