Wrinkling of a bilayer membrane

Details Wrinkling of a bilayer membrane Wrinkling of a bilayer membrane

2006-11-20

arxiv.org/abs/cond-mat/0611507v1

Phys. Rev. E 75, 016609 (2007)

Physics

Condensed Matter

Soft Condensed Matter

9 pages, 5 color figures

Scientific paper

10.1103/PhysRevE.75.016609

The buckling of elastic bodies is a common phenomenon in the mechanics of solids. Wrinkling of membranes can often be interpreted as buckling under constraints that prohibit large amplitude deformation. We present a combination of analytic calculations, experiments, and simulations to understand wrinkling patterns generated in a bilayer membrane. The model membrane is composed of a flexible spherical shell that is under tension and that is circumscribed by a stiff, essentially incompressible strip with bending modulus B. When the tension is reduced sufficiently to a value \sigma, the strip forms wrinkles with a uniform wavelength found theoretically and experimentally to be \lambda = 2\pi(B/\sigma)^{1/3}. Defects in this pattern appear for rapid changes in tension. Comparison between experiment and simulation further shows that, with larger reduction of tension, a second generation of wrinkles with longer wavelength appears only when B is sufficiently small.

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