Bending and Wrinkling as Competing Relaxation Pathways of Strained Free-Hanging Films
Bending and Wrinkling as Competing Relaxation Pathways of Strained Free-Hanging Films
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 .
Δε
Δε
ε
d
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ν
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Y
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d
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Y
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