Martensitic transformations

from continuum mechanics to spin models and automata

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

Research output: Contribution to journalArticle

7 Citations (Scopus)
36 Downloads (Pure)

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 languageEnglish
Pages (from-to)17-26
Number of pages10
JournalContinuum Mechanics and Thermodynamics
Volume21
Issue number1
DOIs
Publication statusPublished - Jun 2009
Externally publishedYes

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continuum mechanics
Continuum mechanics
Martensitic transformations
martensitic transformation
acoustic emission
Acoustic emissions
martensite
Martensite
Dynamical systems
education
methodology
continuums

Cite this

Perez-Reche, Francisco J. ; Truskinovsky, Lev ; Zanzotto, Giovanni. / Martensitic transformations : from continuum mechanics to spin models and automata. In: Continuum Mechanics and Thermodynamics. 2009 ; Vol. 21, No. 1. pp. 17-26.
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Martensitic transformations : from continuum mechanics to spin models and automata. / Perez-Reche, Francisco J.; Truskinovsky, Lev; Zanzotto, Giovanni.

In: Continuum Mechanics and Thermodynamics, Vol. 21, No. 1, 06.2009, p. 17-26.

Research output: Contribution to journalArticle

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