The bending of a superelastic Nitinol cantilever is analyzed, where the deformation is caused by a non-parallel, rigid, friction free constraining surface that approaches the cantilever at an angle, making contact first with its tip. The analysis accounts for geometric nonlinearity and the materially nonlinear behavior of the Nitinol. The constraining surface first causes a severe bending of the cantilever, then reverses its direction of motion and allows the cantilever to partially unbend. The severe bending causes an austenite to martensite phase transformation while the unbending allows partial or full reversal of the phase change, with these transformations being associated with the materially nonlinear response of the Nitinol. In the analysis, a single-cycle of bending and unbending is considered on the one hand, and, on the other, a partial cycle of bending and unbending is followed by fatigue straining of the cantilever. To impose the fatigue straining, the constraining surface is moved up and down cyclically. The results provide the state of mean strain and strain amplitude that the cantilever will experience during fatigue straining. It is noted that recent investigations of the fatigue properties of Nitinol show that, contrary to assumptions that previously prevailed, its fatigue life is influenced by the mean strain during strain cycling.

分析超弹性镍钛诺悬臂的弯曲，其中的变形是由不平行，刚性，无摩擦的约束表面引起的，该约束表面以一定角度接近悬臂，首先与悬臂的尖端接触。该分析说明了镍钛诺的几何非线性和材料非线性行为。约束表面首先导致悬臂严重弯曲，然后反转其运动方向，并使悬臂部分不弯曲。剧烈的弯曲会导致奥氏体发生马氏体相变，而未弯曲则使相变部分或全部反转，这些相变与镍钛诺的材料非线性响应有关。在分析中，一方面考虑了弯曲和伸直的单个循环，另一方面，弯曲和伸直的部分循环之后是悬臂的疲劳应变。为了施加疲劳应变，约束表面周期性地上下移动。结果提供了在疲劳应变过程中悬臂将经历的平均应变和应变幅度状态。值得注意的是，最近对镍钛诺疲劳性能的研究表明，与以前流行的假设相反，镍钛诺的疲劳寿命受应变循环过程中平均应变的影响。