Dynamics of strain bifurcations in a magnetostrictive ribbon

Sarmah, Ritupan; Ananthakrishna, G.

doi:10.1103/physreve.86.016204

Cited by 4 publications

(3 citation statements)

References 26 publications

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“…Other features such as those from hardening can not be captured here as there is very little hardening in the AK model [12,13]. However, an extension of the AK model that removes this limitation can be used [27]. The framework is clearly applicable to other deformation conditions as long as a dislocation based model can be developed that captures major features of the phenomena.…”

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confidence: 99%

Multiscale Modeling Approach to Acoustic Emission during Plastic Deformation

Kumar

Ananthakrishna

2011

Phys. Rev. Lett.

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We address the long-standing problem of the origin of acoustic emission commonly observed during plastic deformation. We propose a framework to deal with the widely separated time scales of collective dislocation dynamics and elastic degrees of freedom to explain the nature of acoustic emission observed during the Portevin-Le Chatelier effect. The Ananthakrishna model is used as it explains most generic features of the phenomenon. Our results show that while acoustic emission bursts correlated with stress drops are well separated for the type C serrations, these bursts merge to form nearly continuous acoustic signals with overriding bursts for the propagating type A bands.

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confidence: 99%

Multiscale Modeling Approach to Acoustic Emission during Plastic Deformation

Kumar

Ananthakrishna

2011

Phys. Rev. Lett.

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“…Bowong and Kakmeni [18] proposed a robust control scheme with simple structure to suppress the chaotic movement of the system. Sarmah and Ananthakrishna [19] established a magneticstrain coupling nonlinear oscillator model, which effectively predicted the chaotic quasiperiodic path of the system. Sun [20] established a mechanical model of a GMA system based on the piezomagnetic theory and analyzed the chaotic phenomenon that may exist in the model.…”

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confidence: 99%

Study on Chaotic Peculiarities of Magnetic-Mechanical Coupled System of Giant Magnetostrictive Actuator

Yan

Liu

Zhao

et al. 2020

Mathematical Problems in Engineering

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We studied the chaotic peculiarities of magnetic-mechanical coupled system of GMA. Based on the working principle of GMA and according to Newton’s second law of motion, first piezomagnetic equation, disk spring design theory, and structural dynamics principle of GMA, the present study established a GMA magnetic-mechanical coupled system model. By carrying out data modeling of this coupled system model, the bifurcation chart of the system with the variation of damping factor, excitation force, and exciting frequency parameters as well as the homologous offset oscillogram, phase plane trace chart, and Poincaré diagram was obtained, and the chaotic peculiarities of the system were analyzed. The influence of parametric errors on the coupled system was studied. The analytical results showed that the oscillation equation of the GMA magnetic-mechanical coupled system had nonlinearity and the movement morphology was complicated and diversified. By adjusting the damping factor, exciting frequency, and excitation force parameters of the system, the system could work under the stable interval, which provided theoretical support for the stability design of GMA.

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“…Part of the difficulty in developing a model in terms of the two relevant OP's can be traced to the lack of knowledge about the nature of elastic and magnetic nonlinearities, and their mutual coupling. We recently developed a model set of equations for strain and magnetic order parameters, and preliminary results has been published 34 . Here we present detailed investigations of the model to show that it captures a good number of these experimental features apart from exhibiting rich dynamics.…”

Section: Introductionmentioning

confidence: 99%

A unified model for the dynamics of driven ribbon with strain and magnetic order parameters

Sarmah

Ananthakrishna

2013

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We develop a unified model to explain the dynamics of driven one dimensional ribbon for materials with strain and magnetic order parameters. We show that the model equations in their most general form explain several results on driven magnetostrictive metallic glass ribbons such as the period doubling route to chaos as a function of a dc magnetic field in the presence of a sinusoidal field, the quasiperiodic route to chaos as a function of the sinusoidal field for a fixed dc field, and induced and suppressed chaos in the presence of an additional low amplitude near resonant sinusoidal field. We also investigate the influence of a low amplitude near resonant field on the period doubling route. The model equations also exhibit symmetry restoring crisis with an exponent close to unity. The model can be adopted to explain certain results on magnetoelastic beam and martensitic ribbon under sinusoidal driving conditions. In the latter case, we find interesting dynamics of a periodic one orbit switching between two equivalent wells as a function of an ac magnetic field that eventually makes a direct transition to chaos under resonant driving condition. The model is also applicable to magnetomartensites and materials with two order parameters.

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Dynamics of strain bifurcations in a magnetostrictive ribbon

Cited by 4 publications

References 26 publications

Multiscale Modeling Approach to Acoustic Emission during Plastic Deformation

Multiscale Modeling Approach to Acoustic Emission during Plastic Deformation

Study on Chaotic Peculiarities of Magnetic-Mechanical Coupled System of Giant Magnetostrictive Actuator

A unified model for the dynamics of driven ribbon with strain and magnetic order parameters

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