Martensitic transformations: from continuum mechanics to spin models and automata

Francisco J. Perez-Reche; Lev Truskinovsky; Giovanni Zanzotto

doi:10.1007/s00161-009-0096-2

Martensitic transformations: from continuum mechanics to spin models and automata

Francisco J. Perez-Reche, Lev Truskinovsky, Giovanni Zanzotto

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Abstract

We present a new methodology 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 scalefree 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
Externally published	Yes

Keywords

Avalanches
Criticality
Spin models
Automata

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PerezReche_CMT2009Accepted author manuscript, 667 KB

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abstract = "We present a new methodology 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 scalefree behavior.",

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JO - Continuum Mechanics and Thermodynamics

JF - Continuum Mechanics and Thermodynamics

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Martensitic transformations: from continuum mechanics to spin models and automata

Abstract

Keywords

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