Nickel-Titanium (NiTi) alloys have seen growing interest in many engineering applications in the last decades due to their special functional properties namely shape memory effect (SME) and superelastic effect (SE). To better understand the potentialities of NiTi alloys many researches have been focused on the numerical modeling of their mechanical and functional behavior in the last few years [1]. In this regard, the contributions made by Tanaka et al. [2] and Brinson [3] are of great significance; more recently Auricchio et al. developed other models based on the elastoplasticity theory [4-5]. In a previous work [6], the authors proposed a phenomenological approach to simulate the two way shape memory effect (TWSME) in NiTi alloys, by a Prandtl-Ishlinksii hysteresis operator. In this work, a new phenomenological model, based on the aforementioned hysteresis operator, is developed to simulate the superelastic effect. The parameters of the phenomenological model are identified, from experimental measurements, by simple and efficient numerical procedures, developed in the commercial software package Matlab® and Simulink®. As an example Figure 1 shows a preliminary result of the proposed model, together with a comparison with experimental measurements.

Figure 1: Comparison between numerical simulation and experimental measurements


References
[1] Paiva A., Savi M. A., Mathematical Problems in Engineering, art. no. 56876 (2006), pp. 1-30.
[2] Tanaka K., Nagaki S., Ingenieur Archive, 51 (1982), pp. 287–299.
[3] Brinson L. C., Journal of Intelligent Material Systems and Structures, 4 (1993), pp. 229–242.
[4] Auricchio F., Sacco E., International Journal of Non-Linear Mechanics, 32(6) (1997), pp. 1101–1114.
[5] Auricchio F., Reali A., Mechanics of Advanced Materials and Structures, 14 (2007), pp. 43-55.
[6] Falvo A., Furgiuele F., Maletta C., Smart Materials and Structures, 16 (2007), pp. 771-778.

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