Power law statistics of avalanches in martensitic transformation
arXiv:cond-mat/0103576 · doi:10.1103/PhysRevLett.86.4076
Abstract
We devise a two dimensional model that mimics the recently observed power law distributions for the amplitudes and durations of the acoustic emission signals observed during martensitic transformation [ Vives {\it et al}, Phys. Rev. Lett. {\bf 72}, 1694 (1994)]. We include a threshold mechanism arising from the athermal nature of transformation, long-range interaction between the transformed domains, inertial effects, and dissipation arising due to the motion of the interface. The model exhibits thermal hysteresis of the transformation, and more importantly, it shows that the energy is released in the form of avalanches with power law distributions for their amplitudes and durations. Computer simulations also reveal morphological features similar to those observed in real systems.
4 pages, 4 Postscript figures, to be published in Phys. Rev. Lett
Cited by in corpus (18)
- Ferroelastic Dynamics and Strain Compatibility
- Dynamic Fracture Model for Acoustic Emission
- Missing physics in stick-slip dynamics of a model for peeling of an adhesive tape
- Dynamics of the peel front and the nature of acoustic emission during peeling of an adhesive tape
- General framework for acoustic emission during plastic deformation
- Acoustic Emission and Shape Memory Effect in the Martensitic Transformation
- Power Laws, Precursors and Predictability During Failure
- Origin of scale-free intermittency in structural first-order phase transitions
- Multi-scale Modeling Approach to Acoustic Emission during Plastic Deformation
- Random Field Potts model with dipolar-like interactions: hysteresis, avalanches and microstructure
- Intermittent Peel Front Dynamics and the Crackling Noise in an Adhesive Tape
- Modeling the complexity of acoustic emission spectra during intermittent plastic deformation: Power laws and multifractal spectra
- Modelling avalanches in martensites
- A two dimensional model for ferromagnetic martensites
- On a probabilistic model for martensitic avalanches incorporating mechanical compatibility
- Influence of Visco-elastic Nature on the Intermittent Peel Front Dynamics of the Adhesive Tape
- Statistics of Microstructure Formation in Martensitic Transitions Studied by a Random-Field Potts Model with Dipolar-like Interactions
- Possibility of Prediction of Avalanches in Power Law Systems