Abstract

The effect of substrate compressibility on surface wrinkling in soft materials is analyzed through theoretical analysis. The generalized Blatz–Ko model, which may reduce to commonly used incompressible and compressible materials such as neo-Hookean, Mooney–Rivlin and Blatz–Ko models, is employed. The wrinkling behavior of a thin film bonded to a soft compressible substrate is analyzed. We also look at wrinkling in slabs of finite thickness, which is admissible (although not necessarily stable) in a subclass of the materials considered.

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