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Exact Solution for Pure Torsion of SMA Curved Bars With Application to Analyzing SMA Helical Springs

[+] Author Affiliations
Reza Mirzaeifar, Reginald DesRoches, Arash Yavari

Georgia Institute of Technology, Atlanta, GA

Paper No. SMASIS2011-5184, pp. 481-486; 6 pages
  • ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
  • ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Volume 1
  • Scottsdale, Arizona, USA, September 18–21, 2011
  • ISBN: 978-0-7918-5471-6
  • Copyright © 2011 by ASME


In this paper, the pure torsion of SMA curved bars with circular cross sections is studied analytically. First, a three-dimensional phenomenological macroscopic constitutive model for polycrystalline SMAs is reduced to the one-dimensional pure shear case and then a closed-form solution for torsional response of SMA curved bars in loading and unloading is obtained. The effect of a direct shear force in the cross section is also considered in the solution which enables the formulation for analyzing SMA helical springs. Several case studies are presented in order to investigate the accuracy of the proposed method in predicting the torsional response of SMA curved bars, the stress distributions, and analyzing SMA helical springs.

Copyright © 2011 by ASME
Topics: Torsion , Springs



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