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

School of Mechanical Engineering

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

43 Scopus citations

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.

Original language	English
Pages (from-to)	82-99
Number of pages	18
Journal	International Journal of Solids and Structures
Volume	54
DOIs	https://doi.org/10.1016/j.ijsolstr.2014.11.005
State	Published - 1 Feb 2015

Keywords

Martensite reorientation
Multiaxial loading
Multisurface inelasticity
Nonproportional loading
Phase transformation
Shape memory alloys

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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.",

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AU - Gu, Xiaojun

AU - Zaki, Wael

AU - Morin, Claire

AU - Moumni, Ziad

AU - Zhang, Weihong

PY - 2015/2/1

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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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JO - International Journal of Solids and Structures

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ER -

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

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Keywords

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