Abstract
In this study, we perform eigenvalue buckling analysis for swelling-induced buckling of porous gel membranes. Swelling process is analyzed by increasing the chemical potential of external solvent in an inhomogeneous field theory. To investigate the point of buckling and the buckling mode, eigenvalue buckling prediction is conducted using a quasi incremental loading pattern instead of using the chemical potential, because the chemical potential is not available in eigenvalue buckling analysis. This approach is verified by analyzing pattern transformation in gel membranes with a square lattice of holes. It is found that diamond plate patterns are successfully predicted.
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