Mathematical model for superelastic shape memory alloy springs with large spring index

N. V. Viet; W. Zaki; Rehan Umer; Y. Xu

doi:10.1016/j.ijsolstr.2019.08.022

Mathematical model for superelastic shape memory alloy springs with large spring index

N. V. Viet, W. Zaki, Rehan Umer, Y. Xu

Northwestern Polytechnical University

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

23 Scopus citations

Abstract

A new model is proposed for the behavior of superelastic shape memory alloy (SMA) helical springs with large index. The derived governing equations consider the response of the spring to monotonic loading followed by complete unloading. In particular, the relation between axial force and axial deformation and the distribution of shear stress in a cross section of the spring wire are determined analytically for the entire loading-unloading cycle. Special attention is given to modeling the unloading stage, for which the proposed solution improves upon existing literature. The model is validated by comparison to 3D finite element simulations and the governing equations are used to investigate the influence of temperature, wire radius and mean radius on the superelastic behavior of a sample SMA spring.

Original language	British English
Pages (from-to)	159-169
Number of pages	11
Journal	International Journal of Solids and Structures
Volume	185-186
DOIs	https://doi.org/10.1016/j.ijsolstr.2019.08.022
State	Published - 1 Mar 2020

Keywords

Analytical model
Finite element analysis
Loading
Shape memory alloys
Spring
Superelasticity
Unloading

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10.1016/j.ijsolstr.2019.08.022

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title = "Mathematical model for superelastic shape memory alloy springs with large spring index",

abstract = "A new model is proposed for the behavior of superelastic shape memory alloy (SMA) helical springs with large index. The derived governing equations consider the response of the spring to monotonic loading followed by complete unloading. In particular, the relation between axial force and axial deformation and the distribution of shear stress in a cross section of the spring wire are determined analytically for the entire loading-unloading cycle. Special attention is given to modeling the unloading stage, for which the proposed solution improves upon existing literature. The model is validated by comparison to 3D finite element simulations and the governing equations are used to investigate the influence of temperature, wire radius and mean radius on the superelastic behavior of a sample SMA spring.",

keywords = "Analytical model, Finite element analysis, Loading, Shape memory alloys, Spring, Superelasticity, Unloading",

author = "Viet, {N. V.} and W. Zaki and Rehan Umer and Y. Xu",

note = "Funding Information: This work is supported by Khalifa University of Science and Technology grant no. CIRA-2019-024. Funding Information: This work is supported by Khalifa University of Science and Technology grant no. CIRA-2019-024 . Publisher Copyright: {\textcopyright} 2019",

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doi = "10.1016/j.ijsolstr.2019.08.022",

language = "British English",

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T1 - Mathematical model for superelastic shape memory alloy springs with large spring index

AU - Viet, N. V.

AU - Zaki, W.

AU - Umer, Rehan

AU - Xu, Y.

N1 - Funding Information: This work is supported by Khalifa University of Science and Technology grant no. CIRA-2019-024. Funding Information: This work is supported by Khalifa University of Science and Technology grant no. CIRA-2019-024 . Publisher Copyright: © 2019

PY - 2020/3/1

Y1 - 2020/3/1

N2 - A new model is proposed for the behavior of superelastic shape memory alloy (SMA) helical springs with large index. The derived governing equations consider the response of the spring to monotonic loading followed by complete unloading. In particular, the relation between axial force and axial deformation and the distribution of shear stress in a cross section of the spring wire are determined analytically for the entire loading-unloading cycle. Special attention is given to modeling the unloading stage, for which the proposed solution improves upon existing literature. The model is validated by comparison to 3D finite element simulations and the governing equations are used to investigate the influence of temperature, wire radius and mean radius on the superelastic behavior of a sample SMA spring.

AB - A new model is proposed for the behavior of superelastic shape memory alloy (SMA) helical springs with large index. The derived governing equations consider the response of the spring to monotonic loading followed by complete unloading. In particular, the relation between axial force and axial deformation and the distribution of shear stress in a cross section of the spring wire are determined analytically for the entire loading-unloading cycle. Special attention is given to modeling the unloading stage, for which the proposed solution improves upon existing literature. The model is validated by comparison to 3D finite element simulations and the governing equations are used to investigate the influence of temperature, wire radius and mean radius on the superelastic behavior of a sample SMA spring.

KW - Analytical model

KW - Finite element analysis

KW - Loading

KW - Shape memory alloys

KW - Spring

KW - Superelasticity

KW - Unloading

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U2 - 10.1016/j.ijsolstr.2019.08.022

DO - 10.1016/j.ijsolstr.2019.08.022

M3 - Article

AN - SCOPUS:85071288959

SN - 0020-7683

VL - 185-186

SP - 159

EP - 169

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

ER -

Mathematical model for superelastic shape memory alloy springs with large spring index

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Keywords

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