Application of a microstructural model to simulation of a tini beam bending performance and calculation of thickness stress distributions

Aleksandr E. Volkov, Margarita E. Evard, Natalia A. Volkova, Egor A. Vukolov

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

Abstract

This work presents a numerical simulation of a TiNi shape memory alloy (SMA) beam performance in the mode of pure bending with the use of Bernoulli-Euler hypotheses. The beam is subjected to an action of a bending torque, an axial force and temperature variations. Thickness distributions of the stress and strain as well as the beam deflection for various stages of thermomechanical loading are obtained. The formulation of the boundary-value problem includes the equations describing the mechanical equilibrium and the constitutive behavior of an SMA representative volume, for which two models - a microstructural and a macroscopic ones are used. They account for the deformations due to elasticity, thermal expansion and phase transformation. It is noted that since the microstructural model automatically accounts for the tension-compression asymmetry of TiNi the use of this model for the description of the SMA behavior predicts that the neutral line of the bent beam does not pass through its center and the beam performance in the mode of bending differs from that in the mode of tension.

Original languageEnglish
Title of host publication9th ECCOMAS Thematic Conference on Smart Structures and Materials, SMART 2019
EditorsAyech Benjeddou, Nazih Mechbal, Jean-Francois Deu
PublisherInternational Center for Numerical Methods in Engineering
Pages686-695
Number of pages10
ISBN (Electronic)9788494919466
StatePublished - 2019
Event9th ECCOMAS Thematic Conference on Smart Structures and Materials, SMART 2019 - Paris, France
Duration: 8 Jul 201911 Jul 2019

Publication series

Name9th ECCOMAS Thematic Conference on Smart Structures and Materials, SMART 2019

Conference

Conference9th ECCOMAS Thematic Conference on Smart Structures and Materials, SMART 2019
CountryFrance
CityParis
Period8/07/1911/07/19

Scopus subject areas

  • Materials Science(all)
  • Energy(all)
  • Pollution

Keywords

  • Bending
  • Boundary-Value Problem
  • Modeling
  • Shape Memory Alloys

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