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The adhesion of a stiff film onto a curved substrate often generates elasticstresses in the film that eventually give rise to its delamination. Here wepredict that delamination of very thin films can be dramatically suppressedthrough tiny, smooth deformations of the substrate, dubbed here "wrinklogami",that barely affect the macroscale topography. This "pro-lamination" effectreflects a surprising capability of smooth wrinkles to suppress compression inelastic films even when spherical or other doubly-curved topography is imposed,in a similar fashion to origami folds that enable construction of curvedstructures from an unstretchable paper. We show that the emergence of awrinklogami pattern signals a nontrivial isometry of the sheet to its planar,undeformed state, in the doubly asymptotic limit of small thickness and weaktensile load exerted by the adhesive substrate. We explain how such an"asymptotic isometry" concept broadens the standard usage of isometries fordescribing the response of elastic sheets to geomertric constraints andmechanical loads.

A sheet on deformable sphere: "wrinklogami" patterns suppress curvature-induced delamination