%0 Journal Article %T On non-monotonic rate dependence of stress hysteresis of superelastic shape memory alloy bars %+ Department of Mechanical Engineering (ME) %+ Matériaux et Structures (MS) %A He, Yong Jun %A Sun, Q.P. %< avec comité de lecture %@ 0020-7683 %J International Journal of Solids and Structures %I Elsevier %V 48 %N 11-12 %P 1688-1695 %8 2011 %D 2011 %R 10.1016/j.ijsolstr.2011.02.017 %K Transformation martensitique %K Etude expérimentale %K Loi helle %K Modélisation %K Cloche %K Alliage mémoire forme %K Vitesse %K déformation %K Transformation phase %K Transfert chaleur %K Convection %K Source chaleur %K Chaleur latente %K Transition phase %K Propriété thermomécanique %K Superélasticité %K Hystérésis %Z Physics [physics]/Mechanics [physics]/Materials and structures in mechanics [physics.class-ph] %Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph]Journal articles %X This paper presents a simple thermo-mechanical model to explain and quantify the observed strain-rate dependence of the stress hysteresis of shape memory alloys (SMAs) bars/strips during stress-induced forward/reverse phase transition with latent heat release/absorption. By solving the convective heat transfer equation and employing the temperature dependence of the SMA's transformation stresses, we are able to prove that the stress hysteresis depends non-monotonically on the applied strain rate with a peak appearing at an intermediate strain rate. We further showed that such a non-monotonic rate dependence is governed by the competition of phase-transition time (or latent-heat release/absorption time) and the time of heat exchange with the environment, and that the hysteresis peak is achieved when the two time scales become comparable. A bell-shaped scaling law of the rate dependence is derived, agreeing quantitatively well with the results of experiments. © 2011 Elsevier Ltd. All rights reserved. %G English %L hal-00830703 %U https://ensta-paris.hal.science/hal-00830703 %~ ENSTA %~ PARISTECH %~ ENSTA_UME