Wrinkling of a bilayer membrane.
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=2pi(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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Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218, USA.
McIver
J W
JW
Mellado
P
P
Clarke
D
D
Tchernyshyov
O
O
Leheny
R L
RL