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. 2013 Jul 22;110(32):12893–12898. doi: 10.1073/pnas.1301695110

Fig. 2.

Fig. 2.

Schematic phase diagram of the model spanned by the weak confinement Inline graphic and inverse deformability Inline graphic parameters, for fixed, high values of the bendability and defectability parameters, Inline graphic. Increasing confinement at a fixed deformability Inline graphic, Eq. 23, leads to distinct sequences of pattern transformation, depending on the value of Inline graphic: (A) For Inline graphic (highly stiff substrate), the axisymmetric state is stable for very weak confinement and becomes unstable to scars (S1Inline graphicS2) above a confinement Inline graphic (orange). (B) For Inline graphic, the axisymmetric state becomes unstable to substrate wrinkles (W1Inline graphicW3) at Inline graphic (pink), and a wrinkle–scar transition (W3Inline graphicS2) occurs at Inline graphic. (C) For Inline graphic, the axisymmetric state becomes unstable first to tensional wrinkles (W1Inline graphicW2) at Inline graphic (blue), then to substrate wrinkles at Inline graphic (W2Inline graphicW3), and a wrinkle–scar transition (W3Inline graphicS2) occurs again at Inline graphic. (D) Finally, for Inline graphic, the substrate deforms substantially beneath the sheet [similar to a sheet on a liquid drop (17)]. This regime is not addressed in the current study.