Nonlocal Superelastic Model of Size-Dependent Hardening and Dissipation in Single Crystal Cu-Al-Ni Shape Memory Alloys

Lei Qiao, Julian J. Rimoli, Ying Chen, Christopher A. Schuh, and Raul Radovitzky
Phys. Rev. Lett. 106, 085504 – Published 24 February 2011; Erratum Phys. Rev. Lett. 106, 109901 (2011)


We propose a nonlocal continuum model to describe the size-dependent superelastic effect observed in recent experiments of single crystal Cu-Al-Ni shape memory alloys. The model introduces two length scales, one in the free energy and one in the dissipation, which account for the size-dependent hardening and dissipation in the loading and unloading response of micro- and nanopillars subject to compression tests. The information provided by the model suggests that the size dependence observed in the dissipation is likely to be associated with a nonuniform evolution of the distribution of the austenitic and martensitic phases during the loading cycle.

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  • Received 2 November 2010
  • Publisher error corrected 28 February 2011


© 2011 American Physical Society


Authors & Affiliations

Lei Qiao1, Julian J. Rimoli1, Ying Chen2, Christopher A. Schuh2, and Raul Radovitzky1,*

  • 1Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 2Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *

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Vol. 106, Iss. 8 — 25 February 2011

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