Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Nov 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006smpr.confe..56s&link_type=abstract
Proceedings of the International conference on Statistical Mechanics of Plasticity and Related Instabilities. August 29-Septembe
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
Here we present a summary of the results of a detailed study of two dimensional model for square- to-rectangle martensitic transformation that explains several unusual features of the martensitic transformation. This model includes inertial effects, dissipation, long-range interaction between the transformed domains and an inhomogeneous stress field to describe the effect of lattice defects which serves as nucleation centers. Studies of single-site and multi-site nucleation cases for single quench situation and thermal cycling show that most results are insensitive to initial distribution of the defects. Thermal cycling using continuous cooling and heating simulations show the existence of hysteresis in the transformation. More importantly, the rate of energy dissipated occurs in the forms of bursts with power law statistics for their amplitudes and durations which explains the results of acoustic emission signals observed in experiments. For the case of thermal cycling in a restricted domain of temperatures, the dissipated bursts of energy are repetitive, a feature observed in experiments. The associated morphology shows a complete reversal of the martensite domains thus throwing light on the mechanism underlying the shape memory effect. The model also exhibits tweed like patterns.
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