Herringbone Buckling Patterns of Compressed Thin Films on Compliant Substrates
Author:
Chen X.1, Hutchinson John W.2
Affiliation:
1. Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, NY 10027 2. Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138
Abstract
A thin metal film vapor deposited on thick elastomer substrate develops an equi-biaxial compressive stress state when the system is cooled due to the large thermal expansion mismatch between the elastomer and the metal. At a critical stress, the film undergoes buckling into a family of modes with short wavelengths characteristic of a thin plate on a compliant elastic foundation. As the system is further cooled, a highly ordered herringbone pattern has been observed to develop. Here it is shown that the herringbone mode constitutes a minimum energy configuration among a limited set of competing modes.
Publisher
ASME International
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference5 articles.
1. Bowden, N., Brittain, S., Evans, A. G., Hutchinson, J. W., and Whitesides, G. M., 1998, “Spontaneous Formation of Ordered Structures in Thin Films of Metals Supported on an Elastomeric Polymer,” Nature (London), 393, pp. 146–149. 2. Huck, W. T. S., Bowden, N., Onck, P., Pardoen, T., Hutchinson, J. W., and Whitesides, G. M., 2000, “Ordering of Spontaneously Formed Buckles on Planar Surfaces,” Langmuir, 16, pp. 3497–3501. 3. Yoo, P. J., Suh, K. Y., Park, S. Y., and Lee, H. H., 2002, “Physical Self-Assembly of Microstructures by Anisotropic Buckling,” Adv. Mater. (Weinheim, Ger.), 14, pp. 1383–1387. 4. Timoshenko, S. P., and Gere, J. M., 1961, Theory of Elastic Stability, McGraw-Hill, New York. 5. Allen, H. G., Analysis and Design of Structural Sandwich Panels, Pergamon, New York.
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