Surface wrinkling in generalized Blatz-Ko materials

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.