Characterization of NiTinol under torsional loads through a numerical implementation of the Boyd-Lagoudas constitutive model and comparison of the results with experimental data

Shape memory alloys (SMA) are a particular family of materials, discovered during the 1930s and only now used in technological applications, with the property of returning to an imposed shape after a deformation and heating process. The study of the mechanical behaviour of SMA, through a proper constitutive model, and the possible ensuing applications form the core of an interesting research field, developed in the last few years and still now subject to studies driven by the aim of understanding and characterizing the peculiar properties of these materials. The aim of this work is to study the behaviour of SMA under torsional loads. To obtain a forecast of the mechanical response of the SMA, we utilized a numerical algorithm based on the Boyd-Lagoudas model and then we compared the results with those from some experimental tests. The experiments were conducted by subjecting helicoidal springs with a constant cross section to a traction load. It is well known, in fact, that in such springs the main stress under traction loads is almost completely a pure torsional stress field. The interest in these studies is due to the absence of data on such tests in the literature for SMA, and because there are an increasing number of industrial applications where SMA are subjected to torsional load, in particular in medicine, and especially in orthodontic drills which usually work under torsional loads.