Multiple-length-scale elastic instability mimics parametric resonance of nonlinear oscillators

By F. Brau, H. Vandeparre, A. Sabbah, C. Poulard, Arezki Boudaoud, P. Damman. 2010

379 citations recorded by the source corpus.

The complex wrinkling patterns produced when a sheet or membrane is compressed are often difficult to predict. Observations of unexpected spatial period-doubling bifurcation instability in the wrinkling of a rigid membrane attached to a soft substrate can be described within a framework similar to that used for the parametric resonance of nonlinear oscillators.

Subfields: Biomedical Engineering, Condensed Matter Physics, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/8d716002ec4a213941d75a808e7f8e9bf4f6e3ca

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Pasquale Ciarletta
2. Yanping Cao
3. J. W. Hutchinson
4. M. B. Amar

In Mechanical Engineering

1. Yanping Cao
2. J. W. Hutchinson
3. H. Wadley
4. Norman A. Fleck
5. V. Deshpande
6. A. G. Evans
7. J. Besson
8. D. Mohr

Citations in the corpus

• Wrinkling Phenomena in Neo-Hookean Film/Substrate Bilayers (2012, background): “Studies of period-doubling for stiff thin films on compliant elastomer substrates, including experimental realizations of the mode, have been presented in [4] and [11].”
• Growth instabilities and folding in tubular organs: A variational method in non-linear elasticity☆ (2012, background): “The deformed shape obtained through perturbation of the generating function in the mixed coordinates is able to capture asymmetric deformations at the inner surface, suggesting that a non-linear regime can lead to folding patterns with multiple length-scales [46].”
• Localized ridge wrinkling of stiff films on compliant substrates (2012, neutral): “2 before period-doubling and folding set in (Brau et al., 2010; Sun et al., 2012; Cao and Hutchinson, 2012a).”