Wrinkling of a stiff thin film bonded to a pre strained, compliant substrate with finite thickness
A stiff thin film bonded to a pre strained, compliant substrate wrinkles into a sinusoidal form upon release of the pre strain. Many analytical models developed for the critical pre strain for wrinkling assume that the substrate is semi infinite. This critical pre strain is actually much smaller than that for a substrate with finite thickness (Ma Y et al. 2016 Adv. Funct. Mater. (doi:10.1002/adfm.201600713) An analytical solution of the critical pre strain for a system of a stiff film bonded to a pre strained, finite thickness, compliant substrate is obtained, and it agrees well with the finite element analysis. The finite thickness effect is significant when the substrate tensile stiffness cannot overwhelm the film tensile stiffness.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences