Skip to Main Content
Your organization might have access to this article on the publisher's site. To check, click on this link:http://dx.doi.org/+10.1116/1.3545808
The authors analyze the collective buckling of an array of elastic lines with their lower edges built into an elastic substrate of the same material. These lines can interact among themselves through the deformation of the substrate. From the theory of elasticity and elastic structures, an eigenvalue problem is formulated and solved. Calculations show that the lines can buckle collectively into certain ordered patterns, where some of which have been confirmed by experiments. The results are useful for the understanding, design, and application of the nanostructures produced by soft lithography and other embossing techniques.