Martensitic transformations: from continuum mechanics to spin models and automata

F. J. Perez-Reche; L. Truskinovsky; G. Zanzotto

doi:10.1007/s00161-009-0096-2

Martensitic transformations: from continuum mechanics to spin models and automata

F. J. Perez-Reche, L. Truskinovsky, G. Zanzotto

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11 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	17-26
Number of pages	10
Journal	Continuum Mechanics and Thermodynamics
Volume	21
Issue number	1
DOIs	https://doi.org/10.1007/s00161-009-0096-2
Publication status	Published - Jun 2009

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title = "Martensitic transformations: from continuum mechanics to spin models and automata",

abstract = "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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AU - Zanzotto, G.

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AB - 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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JO - Continuum Mechanics and Thermodynamics

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Martensitic transformations: from continuum mechanics to spin models and automata

Abstract

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