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An equilibrium phase diagram for the shape of compressively strained free-hanging films is developed by minimizing the total strain energy. For small strain gradients , the film wrinkles, while for sufficiently large
, a phase transition from wrinkling to bending occurs. The average strain in the bilayer film is denoted
. Thickness, Poisson's ratio, and the Young modulus for the first and second layers are denoted by
,
,
and
,
,
. The equilibrium radius of rolled-up tube is represented by
and the wavelength of wrinkles by
.
Contributed by: Peter Cendula (December 2012)
Open content licensed under CC BY-NC-SA
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Reference
[1] P. Cendula, S. Kiravittaya, Y. F. Mei, Ch. Deneke, and O. G. Schmidt, "Bending and Wrinkling as Competing Relaxation Pathways for Strained Free-Hanging Films," Physical Review B, 79(8), 2009 p. 085429. doi:10.1103/PhysRevB.79.085429.
Additional information can be obtained from the author at cendos (at) gmail (dot) com.
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