Possibility of chaos in internal friction experiments of martensites

M.S. Bharathi and G. Ananthakrishna

Physica A: Statistical Mechanics and its Applications, 1999, vol. 270, issue 1, 159-164

Abstract: Wuttig and Suzuki's model on anelastic nonlinearities in solids in the vicinity of martensite transformations is analysed numerically. This model shows chaos even in the absence of applied forcing field as a function of a temperature dependent parameter. Even though the model exhibits sustained oscillations as a function of the amplitude of the forcing term, it does not exactly capture the features of the experimental time series. We have improved the model by adding a symmetry breaking term. The improved model shows period doubling bifurcation as a function of the amplitude of the forcing term. The solutions of our improved model shows good resemblance with the nonsymmetric period four oscillation seen in the experiment.

Keywords: Martensite transformation; Anelastic nonlinearities; Internal friction; Chaos; Free energy (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:270:y:1999:i:1:p:159-164

DOI: 10.1016/S0378-4371(99)00140-5

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