Dynamics of a driven magneto-martensitic ribbon

Sarmah, Ritupan; Ananthakrishna, G.

doi:10.1016/j.cnsns.2014.02.014

Cited by 3 publications

(2 citation statements)

References 41 publications

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“…The total energy of a one dimensional crystal is the sum of the kinetic energy, the potential energy and the gradient potential energy [28,29,49]. The kinetic energy is given by T = ρ 2 [ ∂u(y,t) ∂t ] 2 dy where ρ is the linear mass density.…”

Section: A Approachmentioning

confidence: 99%

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Modeling the complexity of acoustic emission during intermittent plastic deformation: Power laws and multifractal spectra

Kumar

Ananthakrishna

2018

Phys. Rev. E

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Scale invariant power law distributions for acoustic emission signals are ubiquitous to several plastically deforming materials. However, power law distributions for the acoustic emission energies are reported in distinctly different plastically deforming situations such as hcp and, fcc single and polycrystalline samples exhibiting smooth stress-strain curves, and in dilute metallic alloys exhibiting discontinuous flow. This is surprising since the underlying dislocation mechanisms in these two types of deformations are very different. So far, there has been no models that predict the power law statistics for the discontinuous flow. Furthermore, the statistics of the acoustic emission signals in jerky flow is even more complex requiring multifractal measures for a proper characterization. There has been no model that explains the complex statistics either. Here, we address the problem of statistical characterization of the acoustic emission signals associated with the three types of the Portevin-Le Chatelier bands. Following our recently proposed general framework for calculating acoustic emission, we set-up a wave equation for the elastic degrees of freedom with plastic strain rate as a source term. The energy dissipated during acoustic emission is represented by the Rayleigh-dissipation function. Using the plastic strain rate obtained from the Ananthakrishna model for the Portevin-Le Chatelier effect, we compute the acoustic emission signals associated the three Portevin-Le Chatelier bands and the Lüders like band. The so calculated acoustic emission signals are used for further statistical characterization. Our results show that the model predicts power law statistics for all the acoustic emission signals associated with the three types of Portevin-Le Chatelier bands with the exponent values increasing with increasing strain rate. The calculated multifractal spectra corresponding to the acoustic emission signals associated with the three band types has a maximum spread for the type C decreasing with type B and A. We further show that the acoustic emission signals associated with Lüders like band also exhibits power law distribution and multifractality.

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Section: A Approachmentioning

confidence: 99%

“…Here, η the damping co-efficient. Then, since R AE ∝˙ 2 e (y), we interpret R AE as the acoustic energy dissipated during the abrupt motion of dislocations [28,29,31,32,47,49].…”

Section: A Approachmentioning

confidence: 99%

Modeling the complexity of acoustic emission during intermittent plastic deformation: Power laws and multifractal spectra

Kumar

Ananthakrishna

2018

Phys. Rev. E

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Irregular-regular-irregular mixed mode oscillations in a glow discharge plasma

et al. 2015

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Floating potential fluctuations of a glow discharge plasma are found to exhibit different kinds of mixed mode oscillations. Power spectrum analysis reveals that with change in the nature of the mixed mode oscillation (MMO), there occurs a transfer of power between the different harmonics and subharmonics. The variation in the chaoticity of different types of mmo was observed with the study of Lyapunov exponents. Estimates of correlation dimension and the Hurst exponent suggest that these MMOs are of low dimensional nature with an anti persistent character. Numerical modeling also reflects the experimentally found transitions between the different MMOs.

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Nonlinear and chaotic magnetization dynamics near bifurcations of the Landau-Lifshitz-Gilbert equation

Ferona

Camley

2017

Phys. Rev. B

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Dynamics of a driven magneto-martensitic ribbon

Cited by 3 publications

References 41 publications

Modeling the complexity of acoustic emission during intermittent plastic deformation: Power laws and multifractal spectra

Modeling the complexity of acoustic emission during intermittent plastic deformation: Power laws and multifractal spectra

Irregular-regular-irregular mixed mode oscillations in a glow discharge plasma

Nonlinear and chaotic magnetization dynamics near bifurcations of the Landau-Lifshitz-Gilbert equation

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