Self-Similar Structures near Boundaries in Strained Systems

B. Audoly; A. Boudaoud

doi:10.1103/PhysRevLett.91.086105

Self-Similar Structures near Boundaries in Strained Systems

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Résumé

We study the buckling of thin elastic plates caused by residual strains concentrated near a free edge. This is a model for plant leaves and torn plastic sheet morphologies. We derive new governing equations explaining self-similar patterns reported earlier in experiments. We reveal the cascade mechanism, determine the bounds for its wavelengths, and predict a similarity factor of 3 in agreement with experiments. This is confirmed by numerical solutions with up to five generations of wrinkles.

langue originale	Anglais
journal	Physical Review Letters
Volume	91
Numéro de publication	8
Les DOIs	https://doi.org/10.1103/PhysRevLett.91.086105
état	Publié - 21 août 2003

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10.1103/PhysRevLett.91.086105

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title = "Self-Similar Structures near Boundaries in Strained Systems",

abstract = "We study the buckling of thin elastic plates caused by residual strains concentrated near a free edge. This is a model for plant leaves and torn plastic sheet morphologies. We derive new governing equations explaining self-similar patterns reported earlier in experiments. We reveal the cascade mechanism, determine the bounds for its wavelengths, and predict a similarity factor of 3 in agreement with experiments. This is confirmed by numerical solutions with up to five generations of wrinkles.",

author = "B. Audoly and A. Boudaoud",

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AB - We study the buckling of thin elastic plates caused by residual strains concentrated near a free edge. This is a model for plant leaves and torn plastic sheet morphologies. We derive new governing equations explaining self-similar patterns reported earlier in experiments. We reveal the cascade mechanism, determine the bounds for its wavelengths, and predict a similarity factor of 3 in agreement with experiments. This is confirmed by numerical solutions with up to five generations of wrinkles.

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DO - 10.1103/PhysRevLett.91.086105

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JO - Physical Review Letters

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Self-Similar Structures near Boundaries in Strained Systems

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