Transverse wrinkles usually emerge in a uniaxially stretched elastic film and can be suppressed upon further tension, which is an instability-restabilization behavior due to the nonlinear competition between stretching energy and bending energy. Here, we show that curvature can effectively and precisely tune the wrinkling localization and amplitude. To quantitatively explore curvature effect on the wrinkling response, we develop a finite strain shell model with varying curvatures, e.g., $S$-shaped and $C$-shaped surfaces, based on the general differential geometry and nonlinear elasticity theory. Distinguished from the central wrinkling observed in a stretched cylindrical film with constant curvature, we reveal that wrinkles tend to move toward the region with lower curvature. Notably, localized wrinkles can be remotely influenced by the curvature of neighbouring region. Understanding morphological pattern evolution and in particular the dependence of wrinkling behavior on curvature, e.g., 3D phase diagram of stability boundaries, is crucial for the effective use of wrinkling as a tool for realizing multifunctional wrinkle-tunable surfaces.

横向皱纹通常出现在单轴拉伸的弹性膜中，并且可以在进一步拉伸时得到抑制，这是由于拉伸能和弯曲能之间的非线性竞争而导致的不稳定性恢复行为。在这里，我们表明曲率可以有效且精确地调整起皱的位置和幅度。为了定量研究曲率对起皱反应的影响，我们建立了具有变化曲率的有限应变壳模型，例如，$\mathrm{小号}$形和 $C$形表面，基于一般微分几何和非线性弹性理论。与在具有恒定曲率的拉伸圆柱形薄膜中观察到的中央皱纹不同，我们发现皱纹趋向于向曲率较低的区域移动。值得注意的是，局部皱纹可能会受到邻近区域曲率的远距离影响。理解形态学模式演变，尤其是起皱行为对曲率的依赖性，例如稳定边界的3D相图，对于有效使用起皱作为实现多功能起皱可调表面的工具至关重要。