Time integration and assessment of a model for shape memory alloys considering multiaxial nonproportional loading cases

Xiaojun Gu; Wael Zaki; Claire Morin; Ziad Moumni; Weihong Zhang

doi:10.1016/j.ijsolstr.2014.11.005

Time integration and assessment of a model for shape memory alloys considering multiaxial nonproportional loading cases

Xiaojun Gu
, Wael Zaki
, Claire Morin
, Ziad Moumni
, Weihong Zhang

机电学院

Northwestern Polytechnical University Xian
ENSTA
Khalifa University of Science and Technology
École Nationale Supérieure des Mines de Saint-Étienne

科研成果: 期刊稿件 › 文章 › 同行评审

43 引用（Scopus）

摘要

The paper presents a numerical implementation of the ZM model for shape memory alloys (Zaki and Moumni, 2007a) that fully accounts for nonproportional loading and its influence on martensite reorientation and phase transformation. Detailed derivation of the time-discrete implicit integration algorithm is provided, including an explicit closed-form expression for the continuous material jacobian. The algorithm is used for finite element simulations using Abaqus, in which the model is implemented by means of a user material subroutine. Extensive validation of the model is provided against multiple sets of experimental and numerical simulation data taken from the literature.

源语言	英语
页（从-至）	82-99
页数	18
期刊	International Journal of Solids and Structures
卷	54
DOI	https://doi.org/10.1016/j.ijsolstr.2014.11.005
出版状态	已出版 - 1 2月 2015

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10.1016/j.ijsolstr.2014.11.005

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abstract = "The paper presents a numerical implementation of the ZM model for shape memory alloys (Zaki and Moumni, 2007a) that fully accounts for nonproportional loading and its influence on martensite reorientation and phase transformation. Detailed derivation of the time-discrete implicit integration algorithm is provided, including an explicit closed-form expression for the continuous material jacobian. The algorithm is used for finite element simulations using Abaqus, in which the model is implemented by means of a user material subroutine. Extensive validation of the model is provided against multiple sets of experimental and numerical simulation data taken from the literature.",

keywords = "Martensite reorientation, Multiaxial loading, Multisurface inelasticity, Nonproportional loading, Phase transformation, Shape memory alloys",

author = "Xiaojun Gu and Wael Zaki and Claire Morin and Ziad Moumni and Weihong Zhang",

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AU - Gu, Xiaojun

AU - Zaki, Wael

AU - Morin, Claire

AU - Moumni, Ziad

AU - Zhang, Weihong

PY - 2015/2/1

Y1 - 2015/2/1

N2 - The paper presents a numerical implementation of the ZM model for shape memory alloys (Zaki and Moumni, 2007a) that fully accounts for nonproportional loading and its influence on martensite reorientation and phase transformation. Detailed derivation of the time-discrete implicit integration algorithm is provided, including an explicit closed-form expression for the continuous material jacobian. The algorithm is used for finite element simulations using Abaqus, in which the model is implemented by means of a user material subroutine. Extensive validation of the model is provided against multiple sets of experimental and numerical simulation data taken from the literature.

AB - The paper presents a numerical implementation of the ZM model for shape memory alloys (Zaki and Moumni, 2007a) that fully accounts for nonproportional loading and its influence on martensite reorientation and phase transformation. Detailed derivation of the time-discrete implicit integration algorithm is provided, including an explicit closed-form expression for the continuous material jacobian. The algorithm is used for finite element simulations using Abaqus, in which the model is implemented by means of a user material subroutine. Extensive validation of the model is provided against multiple sets of experimental and numerical simulation data taken from the literature.

KW - Martensite reorientation

KW - Multiaxial loading

KW - Multisurface inelasticity

KW - Nonproportional loading

KW - Phase transformation

KW - Shape memory alloys

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M3 - 文章

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SN - 0020-7683

VL - 54

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EP - 99

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

ER -

Time integration and assessment of a model for shape memory alloys considering multiaxial nonproportional loading cases

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