Dynamics of a driven magneto-martensitic ribbon

Sarmah, Ritupan and Ananthakrishna, G (2014) Dynamics of a driven magneto-martensitic ribbon. In: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 19 (10). pp. 3880-3891.

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Abstract

We investigate the dynamics of a sinusoidally driven ferromagnetic martensitic ribbon by adopting a recently introduced model that involves strain and magnetization as order parameters. Retaining only the dominant mode of excitation we reduce the coupled set of partial differential equations for strain and magnetization to a set of coupled ordinary nonlinear equations for the strain and magnetization amplitudes. The equation for the strain amplitude takes the form of parametrically driven oscillator. Finite strain amplitude can only be induced beyond a critical value of the strength of the magnetic field. Chaotic response is seen for a range of values of all the physically interesting parameters. The nature of the bifurcations depends on the choice of temperature relative to the ordering of the Curie and the martensite transformation temperatures. We have studied the nature of response as a function of the strength and frequency of the magnetic field, and magneto-elastic coupling. In general, the bifurcation diagrams with respect to these parameters do not follow any standard route. The rich dynamics exhibited by the model is further illustrated by the presence of mixed mode oscillations seen for low frequencies. The geometric structure of the mixed mode oscillations in the phase space has an unusual deep crater structure with an outer and inner cone on which the orbits circulate. We suggest that these features should be seen in experiments on driven magneto-martensitic ribbons. (C) 2014 Elsevier B. V. All rights reserved.

Item Type:	Journal Article
Publication:	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Publisher:	ELSEVIER SCIENCE BV
Additional Information:	Copyright for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Keywords:	Internal friction; Magneto-martensite; Bifurcation; Chaos; Mixed mode oscillations
Department/Centre:	Division of Chemical Sciences > Materials Research Centre
Date Deposited:	16 Jun 2014 10:28
Last Modified:	16 Jun 2014 10:28
URI:	http://eprints.iisc.ac.in/id/eprint/49237

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