An analytical model for a shape memory alloy beam accounting for tension-compression stress asymmetry effect

N. V. Viet, W. Zaki

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The study deals with a development of a novel analytical model based on extended ZM's model together with Timoshenko beam theory for a superelastic shape memory alloy (SMA) cantilever beam taking into account the tension-compression asymmetry stress effect during loading/unloading process. The beam structure evolution is first identified by the trial method based on the geometric relation and force equilibrium. Subsequently, an analytical moment-curvature-neutral axis deviation and shear force-shear strain relations are derived for the identified beam structure. The moment-curvature response from theoretical model based on asymmetric effect, and theory and 3D FEM based on symmetric effect are shown to reveal the difference between them. Subsequently, the neutral axis deviation-tip load response and distribution of mertensite volume fraction along the beam length obtained from theory and 3D FEM based on asymmetric effect is demonstrated.

Original languageBritish English
Title of host publicationSensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2019
EditorsJerome P. Lynch, Haiying Huang, Hoon Sohn, Kon-Well Wang
PublisherSPIE
ISBN (Electronic)9781510625952
DOIs
StatePublished - 2019
EventSensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2019 - Denver, United States
Duration: 4 Mar 20197 Mar 2019

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume10970
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceSensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2019
Country/TerritoryUnited States
CityDenver
Period4/03/197/03/19

Keywords

  • analytical model
  • loadingunloading cycle
  • Shape memory alloys
  • tension-compression asymmetry
  • Timoshenko theory

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