Controlling line defects in wrinkling: a pathway towards hierarchical wrinkling structures

Coexistence and Coevolution of Wrinkle and Ridge Patterns in the Film-Substrate System by Uniaxial Compression

Homogeneous wrinkles and localized patterns are ubiquitous in nature and are useful for a wide range of practical applications. Although various strain-driven surface instability modes have been extensively investigated in the past decades, understanding the coexistence, coevolution, and interaction of wrinkles and localized patterns is still a great challenge. Here, we report on the formation and evolution of coexisting wrinkle and ridge patterns in metal films deposited on poly(dimethylsiloxane) (PDMS) substrates by uniaxial compression. It is found that the evolving surface patterns show unique features of morphological transition from stages I to III: namely, transition from localized ridges to coexisting wrinkles and ridges, and finally to sinusoidal-like structures, as the compression increases. Based on the compressive strain-driven surface instability theory and finite element numerical simulation, the morphological features, transition behaviors, and underlying mechanisms of such complex patterns are investigated in detail, and the changes of amplitude and wavelength versus the strain are consistent with our experiments. This work could promote a better understanding of the effect of strain localization and the interaction of multiple surface patterns in hard film-soft substrate systems.