Skip to main content
Journal cover image

A closed-form solution for superelastic shape memory alloy beams subjected to bending

Publication ,  Conference
Mirzaeifar, R; Desroches, R; Yavari, A; Gall, K
Published in: Proceedings of SPIE - The International Society for Optical Engineering
June 6, 2012

A macroscopic phenomenological framework is used for developing a closed-form solution for analyzing the pure bending of shape memory alloy (SMA) beams. In order to study the effect of tension-compression asymmetry on the bending response, two different transformation functions are considered; a J 2-based solution with symmetric tension-compression response, and a J 2 - I 1-based solution capable of modeling the tension-compression asymmetry. The constitutive equations are reduced to an appropriate form for studying the pseudoelastic bending response of SMAs, and closed-form expressions are obtained for the stress and martensitic volume fraction distributions in the cross section. These expressions are used for calculating the bending moment-curvature analytically. Both circular and rectangular cross sections are considered and several case studies are presented for analyzing the accuracy of the presented method and also the effect of considering the tension-compression asymmetry on the bending response of SMAs. © 2012 SPIE.

Duke Scholars

Published In

Proceedings of SPIE - The International Society for Optical Engineering

DOI

ISSN

0277-786X

ISBN

9780819489999

Publication Date

June 6, 2012

Volume

8342

Related Subject Headings

  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Mirzaeifar, R., Desroches, R., Yavari, A., & Gall, K. (2012). A closed-form solution for superelastic shape memory alloy beams subjected to bending. In Proceedings of SPIE - The International Society for Optical Engineering (Vol. 8342). https://doi.org/10.1117/12.917475
Mirzaeifar, R., R. Desroches, A. Yavari, and K. Gall. “A closed-form solution for superelastic shape memory alloy beams subjected to bending.” In Proceedings of SPIE - The International Society for Optical Engineering, Vol. 8342, 2012. https://doi.org/10.1117/12.917475.
Mirzaeifar R, Desroches R, Yavari A, Gall K. A closed-form solution for superelastic shape memory alloy beams subjected to bending. In: Proceedings of SPIE - The International Society for Optical Engineering. 2012.
Mirzaeifar, R., et al. “A closed-form solution for superelastic shape memory alloy beams subjected to bending.” Proceedings of SPIE - The International Society for Optical Engineering, vol. 8342, 2012. Scopus, doi:10.1117/12.917475.
Mirzaeifar R, Desroches R, Yavari A, Gall K. A closed-form solution for superelastic shape memory alloy beams subjected to bending. Proceedings of SPIE - The International Society for Optical Engineering. 2012.
Journal cover image

Published In

Proceedings of SPIE - The International Society for Optical Engineering

DOI

ISSN

0277-786X

ISBN

9780819489999

Publication Date

June 6, 2012

Volume

8342

Related Subject Headings

  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering