Abstract
In this study, we investigate the effect of prestrains on swelling-induced buckling patterns in polymeric films with a square lattice of holes. To reproduce experiments by Zhang et al. (2008), finite element analysis is performed using an inhomogeneous field theory of polymeric gels in equilibrium, amd prestrains prior to swelling are given as uniaxial tension along a lattice direction. A periodic unit consisting of 10×10 unit cells is analyzed under a generalized plane strain assumption. The 10×10 unit cell shows that different buckling patterns appear depending on prestrains of ε=0, 20, 40 and 60%: a diamond plate pattern (ε=0%), a slightly distorted diamond plate pattern (ε=20%), a binary pattern of circles and lines (ε=40%), and a monotonous pattern of ellipses (ε=60%). These predictions are in very good agreement with experiments.
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