Theory of phase transformation and reorientation in single crystalline shape memory alloys

Jiujiang Zhu, N. G. Liang, M. Cai, K. M. Liew, W. M. Huang

Research output: Contribution to journalArticle

  • 4 Citations

Abstract

A constitutive model, based on an (n+1)-phase mixture of the Mori–Tanaka average theory, has been developed for stress-induced martensitic transformation and reorientation in single crystalline shape memory alloys. Volume fractions of different martensite lattice correspondence variants are chosen as internal variables to describe microstructural evolution. Macroscopic Gibbs free energy for the phase transformation is derived with thermodynamics principles and the ensemble average method of micro-mechanics. The critical condition and the evolution equation are proposed for both the phase transition and reorientation. This model can also simulate interior hysteresis loops during loading/unloading by switching the critical driving forces when an opposite transition takes place.
Original languageEnglish
Article number 015041
JournalSmart Materials and Structures
Volume17
Issue number1
DOIs
StatePublished - Feb 2008

Fingerprint

Phase transitions
retraining
Ergothioneine
Deception
Shape memory effect
Crystalline materials
shape memory alloys
phase transformations
Bicyclo Compounds
Echinomycin
Iduronidase
Anthralin
Hemoperitoneum
Spinal Muscular Atrophy
Addison Disease
Ivermectin
Agglutination Tests
Alkynes
Micromechanics
Martensitic transformations

Cite this

Zhu, Jiujiang; Liang, N. G.; Cai, M.; Liew, K. M.; Huang, W. M. / Theory of phase transformation and reorientation in single crystalline shape memory alloys.

In: Smart Materials and Structures, Vol. 17, No. 1, 015041, 02.2008.

Research output: Contribution to journalArticle

@article{237951ca0a6d488c908a7a9bd0fc7aa1,
title = "Theory of phase transformation and reorientation in single crystalline shape memory alloys",
abstract = "A constitutive model, based on an (n+1)-phase mixture of the Mori–Tanaka average theory, has been developed for stress-induced martensitic transformation and reorientation in single crystalline shape memory alloys. Volume fractions of different martensite lattice correspondence variants are chosen as internal variables to describe microstructural evolution. Macroscopic Gibbs free energy for the phase transformation is derived with thermodynamics principles and the ensemble average method of micro-mechanics. The critical condition and the evolution equation are proposed for both the phase transition and reorientation. This model can also simulate interior hysteresis loops during loading/unloading by switching the critical driving forces when an opposite transition takes place.",
author = "Jiujiang Zhu and Liang, {N. G.} and M. Cai and Liew, {K. M.} and Huang, {W. M.}",
year = "2008",
month = "2",
doi = "10.1088/0964-1726/17/01/015041",
volume = "17",
journal = "Smart Materials and Structures",
issn = "0964-1726",
publisher = "IOP Publishing Ltd.",
number = "1",

}

Theory of phase transformation and reorientation in single crystalline shape memory alloys. / Zhu, Jiujiang; Liang, N. G.; Cai, M.; Liew, K. M.; Huang, W. M.

In: Smart Materials and Structures, Vol. 17, No. 1, 015041, 02.2008.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Theory of phase transformation and reorientation in single crystalline shape memory alloys

AU - Zhu,Jiujiang

AU - Liang,N. G.

AU - Cai,M.

AU - Liew,K. M.

AU - Huang,W. M.

PY - 2008/2

Y1 - 2008/2

N2 - A constitutive model, based on an (n+1)-phase mixture of the Mori–Tanaka average theory, has been developed for stress-induced martensitic transformation and reorientation in single crystalline shape memory alloys. Volume fractions of different martensite lattice correspondence variants are chosen as internal variables to describe microstructural evolution. Macroscopic Gibbs free energy for the phase transformation is derived with thermodynamics principles and the ensemble average method of micro-mechanics. The critical condition and the evolution equation are proposed for both the phase transition and reorientation. This model can also simulate interior hysteresis loops during loading/unloading by switching the critical driving forces when an opposite transition takes place.

AB - A constitutive model, based on an (n+1)-phase mixture of the Mori–Tanaka average theory, has been developed for stress-induced martensitic transformation and reorientation in single crystalline shape memory alloys. Volume fractions of different martensite lattice correspondence variants are chosen as internal variables to describe microstructural evolution. Macroscopic Gibbs free energy for the phase transformation is derived with thermodynamics principles and the ensemble average method of micro-mechanics. The critical condition and the evolution equation are proposed for both the phase transition and reorientation. This model can also simulate interior hysteresis loops during loading/unloading by switching the critical driving forces when an opposite transition takes place.

U2 - 10.1088/0964-1726/17/01/015041

DO - 10.1088/0964-1726/17/01/015041

M3 - Article

VL - 17

JO - Smart Materials and Structures

T2 - Smart Materials and Structures

JF - Smart Materials and Structures

SN - 0964-1726

IS - 1

M1 - 015041

ER -