Martensitic transformations: from continuum mechanics to spin models and automata

Pérez-Reche, F.; Truskinovsky, L.; Zanzotto, G.
June 2009
Continuum Mechanics & Thermodynamics;Jun2009, Vol. 21 Issue 1, p17
Academic Journal
We present a new procedure for the systematic reduction of a continuum theory of martensitic transformations to a spin system whose dynamics can be described by an automaton. Our prototypical model reproduces most of the experimental observations in martensites associated with criticality and power-law acoustic emission. In particular, it explains in a natural way why cyclic training is necessary to reach scale-free behavior.


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