Landau theory for shape memory polycrystals

R. Ahluwalia; T. Lookman; A. Saxena; R. C. Albers

doi:10.1016/j.actamat.2003.09.015

Landau theory for shape memory polycrystals

R. Ahluwalia
, T. Lookman
, A. Saxena
, R. C. Albers

Los Alamos National Laboratory Theoretical Division

Research output: Contribution to journal › Article › peer-review

87 Scopus citations

Abstract

We propose a Ginzburg-Landau theory for the elastic properties of shape memory polycrystals. A single crystal elastic free energy for a system that undergoes a square-to-rectangle transformation is generalized to a polycrystal by introducing a crystal orientational field that is determined from a continuum phase-field model. The coupled system is used to study domain morphology and mechanical properties of shape memory alloys in different temperature regimes.

Original language	English
Pages (from-to)	209-218
Number of pages	10
Journal	Acta Materialia
Volume	52
Issue number	1
DOIs	https://doi.org/10.1016/j.actamat.2003.09.015
State	Published - 5 Jan 2004
Externally published	Yes

Keywords

Landau theory
Martensites
Polycrystals
Shape memory
Stress-strain response

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10.1016/j.actamat.2003.09.015

Cite this

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abstract = "We propose a Ginzburg-Landau theory for the elastic properties of shape memory polycrystals. A single crystal elastic free energy for a system that undergoes a square-to-rectangle transformation is generalized to a polycrystal by introducing a crystal orientational field that is determined from a continuum phase-field model. The coupled system is used to study domain morphology and mechanical properties of shape memory alloys in different temperature regimes.",

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AU - Lookman, T.

AU - Saxena, A.

AU - Albers, R. C.

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N2 - We propose a Ginzburg-Landau theory for the elastic properties of shape memory polycrystals. A single crystal elastic free energy for a system that undergoes a square-to-rectangle transformation is generalized to a polycrystal by introducing a crystal orientational field that is determined from a continuum phase-field model. The coupled system is used to study domain morphology and mechanical properties of shape memory alloys in different temperature regimes.

AB - We propose a Ginzburg-Landau theory for the elastic properties of shape memory polycrystals. A single crystal elastic free energy for a system that undergoes a square-to-rectangle transformation is generalized to a polycrystal by introducing a crystal orientational field that is determined from a continuum phase-field model. The coupled system is used to study domain morphology and mechanical properties of shape memory alloys in different temperature regimes.

KW - Landau theory

KW - Martensites

KW - Polycrystals

KW - Shape memory

KW - Stress-strain response

UR - https://www.scopus.com/pages/publications/0345016304

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DO - 10.1016/j.actamat.2003.09.015

M3 - 文章

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SP - 209

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JO - Acta Materialia

JF - Acta Materialia

IS - 1

ER -

Landau theory for shape memory polycrystals

Abstract

Keywords

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