A model for shape memory alloy beams accounting for tensile compressive asymmetry

Nguyen Van Viet; Wael Zaki; Ziad Moumni

doi:10.1177/1045389X19873407

A model for shape memory alloy beams accounting for tensile compressive asymmetry

Nguyen Van Viet
, Wael Zaki
, Ziad Moumni

Mechanical & Nuclear Engineering

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

20 Scopus citations

Abstract

A new analytical model is derived for cantilever beams made from superelastic shape memory alloy and subjected to tip load. The deformation of the beam is described based on Timoshenko beam theory using constitutive relations that account for asymmetric shape memory alloy response in tension and compression. Analytical moment and shear force equations are developed and the position of the neutral axis and the different solid phase regions in the beam are tracked throughout a full loading–unloading cycle. Validation of the proposed model is carried out against data from the literature and from the finite element analysis considering tensile–compressive asymmetry in shape memory alloy behavior.

Original language	British English
Pages (from-to)	2697-2715
Number of pages	19
Journal	Journal of Intelligent Material Systems and Structures
Volume	30
Issue number	18-19
DOIs	https://doi.org/10.1177/1045389X19873407
State	Published - 1 Nov 2019

Keywords

analytical modeling
experimental validation
loading–unloading cycle
shape memory alloys
tension–compression asymmetry
Timoshenko theory

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10.1177/1045389X19873407

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title = "A model for shape memory alloy beams accounting for tensile compressive asymmetry",

abstract = "A new analytical model is derived for cantilever beams made from superelastic shape memory alloy and subjected to tip load. The deformation of the beam is described based on Timoshenko beam theory using constitutive relations that account for asymmetric shape memory alloy response in tension and compression. Analytical moment and shear force equations are developed and the position of the neutral axis and the different solid phase regions in the beam are tracked throughout a full loading–unloading cycle. Validation of the proposed model is carried out against data from the literature and from the finite element analysis considering tensile–compressive asymmetry in shape memory alloy behavior.",

keywords = "analytical modeling, experimental validation, loading–unloading cycle, shape memory alloys, tension–compression asymmetry, Timoshenko theory",

author = "Viet, \{Nguyen Van\} and Wael Zaki and Ziad Moumni",

note = "Funding Information: The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: Dr W.Z. would like to acknowledge the financial support of Khalifa University of Science and Technology through KUIRF research grant (No. 210114). Funding Information: The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: Dr W.Z. would like to acknowledge the financial support of Khalifa University of Science and Technology through KUIRF research grant (No. 210114). Publisher Copyright: {\textcopyright} The Author(s) 2019.",

year = "2019",

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doi = "10.1177/1045389X19873407",

language = "British English",

volume = "30",

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T1 - A model for shape memory alloy beams accounting for tensile compressive asymmetry

AU - Viet, Nguyen Van

AU - Zaki, Wael

AU - Moumni, Ziad

N1 - Funding Information: The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: Dr W.Z. would like to acknowledge the financial support of Khalifa University of Science and Technology through KUIRF research grant (No. 210114). Funding Information: The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: Dr W.Z. would like to acknowledge the financial support of Khalifa University of Science and Technology through KUIRF research grant (No. 210114). Publisher Copyright: © The Author(s) 2019.

PY - 2019/11/1

Y1 - 2019/11/1

N2 - A new analytical model is derived for cantilever beams made from superelastic shape memory alloy and subjected to tip load. The deformation of the beam is described based on Timoshenko beam theory using constitutive relations that account for asymmetric shape memory alloy response in tension and compression. Analytical moment and shear force equations are developed and the position of the neutral axis and the different solid phase regions in the beam are tracked throughout a full loading–unloading cycle. Validation of the proposed model is carried out against data from the literature and from the finite element analysis considering tensile–compressive asymmetry in shape memory alloy behavior.

AB - A new analytical model is derived for cantilever beams made from superelastic shape memory alloy and subjected to tip load. The deformation of the beam is described based on Timoshenko beam theory using constitutive relations that account for asymmetric shape memory alloy response in tension and compression. Analytical moment and shear force equations are developed and the position of the neutral axis and the different solid phase regions in the beam are tracked throughout a full loading–unloading cycle. Validation of the proposed model is carried out against data from the literature and from the finite element analysis considering tensile–compressive asymmetry in shape memory alloy behavior.

KW - analytical modeling

KW - experimental validation

KW - loading–unloading cycle

KW - shape memory alloys

KW - tension–compression asymmetry

KW - Timoshenko theory

UR - https://www.scopus.com/pages/publications/85073936275

U2 - 10.1177/1045389X19873407

DO - 10.1177/1045389X19873407

M3 - Article

AN - SCOPUS:85073936275

SN - 1045-389X

VL - 30

SP - 2697

EP - 2715

JO - Journal of Intelligent Material Systems and Structures

JF - Journal of Intelligent Material Systems and Structures

IS - 18-19

ER -

A model for shape memory alloy beams accounting for tensile compressive asymmetry

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Keywords

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