Bharathi, M. S. ; Ananthakrishna, G. (1999) Possibility of chaos in internal friction experiments of martensites Physica A: Statistical Mechanics and its Applications, 270 (1-2). pp. 159-164. ISSN 0378-4371
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03784...
Related URL: http://dx.doi.org/10.1016/S0378-4371(99)00140-5
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to European Physical Society. |
| Keywords: | Martensite Transformation; Anelastic Nonlinearities; Internal Friction; Chaos; Free Energy |
| ID Code: | 548 |
| Deposited On: | 21 Sep 2010 11:45 |
| Last Modified: | 12 May 2011 08:57 |
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