The surface wrinkling of metal films on spherical polydimethylsiloxane (PDMS) substrates was induced by thermal contraction. A novel scaling law among wrinkle wavelength, film thickness, and substrate radius was discovered experimentally and rationalized theoretically, with scaling exponent being constant and coefficient being material-dependent. The theoretical predictions agree well with the existing experimental data of other spherical shell/core systems, with shell/core modulus ratio spanning several orders of magnitude, indicative of the universality and robustness. The results shed new light on the wrinkling phenomenon of spherical surfaces and demonstrate a predictive pathway to create wrinkling patterns on demand.

中文翻译：

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软球形基材上金属起皱的通用缩放定律

球形聚二甲基硅氧烷 (PDMS) 基材上金属薄膜的表面起皱是由热收缩引起的。通过实验发现了皱纹波长、薄膜厚度和基板半径之间的新标度律，并在理论上对其进行了合理化，标度指数为常数，系数与材料相关。理论预测与其他球壳/核系统的现有实验数据吻合良好，壳/核模量比跨越几个数量级，具有普遍性和鲁棒性。结果为球形表面的起皱现象提供了新的线索，并展示了一种根据需要创建起皱模式的预测途径。