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- W4320170120 abstract "Invaginations are partial enclosures formed by surfaces. Typically formed by biological membranes; they abound in nature. In this paper, we consider fundamentally different structures: elastically stabilized invaginations. Focusing on spherical invaginations formed by elastic membranes, we carried out experiments and mathematical modeling to understand the stress and strain fields underlying stable structures. Friction plays a key role in stabilization, and consequently the required force balance is an inequality. Using a novel scheme, we were able to find stable solutions of the balance equations for different models of elasticity, with reasonable agreement with experiments." @default.
- W4320170120 created "2023-02-13" @default.
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- W4320170120 date "2022-05-31" @default.
- W4320170120 modified "2023-09-23" @default.
- W4320170120 title "An elastically stabilized spherical invagination" @default.
- W4320170120 doi "https://doi.org/10.48550/arxiv.2206.05271" @default.
- W4320170120 hasPublicationYear "2022" @default.
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