Wrinkling of a bilayer membrane

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Title: Wrinkling of a bilayer membrane
Author: Concha, A.; McIver, J.W.; Mellado, P.; Clarke, D.; Tchernyshyov, O.; Leheny, R.L.
Abstract: 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 σ, the strip forms wrinkles with a uniform wavelength found theoretically and experimentally to be λ=2π(B/σ)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.
URI: http://jhir.library.jhu.edu/handle/1774.2/33760
Date: 2007-01
Citation: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) Jan. 2007, vol.75, no.1, pp. 16609-1-6
Subject: biomembranes
biomechanics
elastic bodies
deformation
wrinkling patterns
flexible spherical shell
incompressible strip
biological cells
bending

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