A hybrid elements model of stress-strain hysteresis in shape memory alloys

Yongzhong Huo

doi:10.1117/12.841905

20 October 2009 A hybrid elements model of stress-strain hysteresis in shape memory alloys

Yongzhong Huo

Proceedings Volume 7493, Second International Conference on Smart Materials and Nanotechnology in Engineering; 749321 (2009) https://doi.org/10.1117/12.841905
Event: Second International Conference on Smart Materials and Nanotechnology in Engineering, 2009, Weihai, China

Abstract

Shape memory alloys (SMAs) show strong hysteresis in stress-strain-temperature relations. The hysteretic behavior is mainly caused by the thermodynamic irreversibility during the thermoelastic martensitic transformation. The various types of stress-strain hysteresis observed for SMAs at different temperatures have been attributed to the martensitic reorientation (MR) and the stress-induced martensitic transformation (SIMT) processes occurred under loading. Based on such observations, a model is proposed to consist of two types of elements: MR elements and SIMT elements. The MR elements show only martensitic reorientation and the SIMT elements can behavior only according to the stressinduced martensitic transformation. A SMA sample is a proper combination, determined by two temperature dependent distribution functions, of these two types of elements in series, i.e. the stresses on the elements are identical and the strains sum up. Experiments are designed to determine the distribution functions and numerical simulations are performed to show the capability of the model in reproducing the stress-strain hysteresis of SMAs in the whole temperature range of applications

Citation Download Citation

Yongzhong Huo "A hybrid elements model of stress-strain hysteresis in shape memory alloys", Proc. SPIE 7493, Second International Conference on Smart Materials and Nanotechnology in Engineering, 749321 (20 October 2009); https://doi.org/10.1117/12.841905

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