An Elastically Stabilized Spherical Invagination

نویسندگان

چکیده

Invaginations are partial enclosures formed by surfaces. Typically biological membranes; they abound in nature. In this paper, we consider fundamentally different structures: elastically stabilized invaginations. Focusing on spherical invaginations elastic membranes, carried out experiments and mathematical modeling to understand the stress strain fields underlying stable structures. Friction plays a key role stabilization, consequently required force balance is an inequality. Using novel scheme, were able find solutions of equations for models elasticity, with reasonable agreement experiments.

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ژورنال

عنوان ژورنال: Journal of Elasticity

سال: 2022

ISSN: ['0374-3535', '1573-2681']

DOI: https://doi.org/10.1007/s10659-022-09927-y