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- W4248790856 abstract "The parametric equations of the plane curves determining the equilibrium shapes that a uniform inextensible elastic ring could take subject to a uniform hydrostatic pressure are presented in an explicit analytic form. The determination of the equilibrium shape of such a structure corresponding to a given pressure is reduced to the solution of two transcendental equations. The shapes with points of contact and the corresponding (contact) pressures are determined by the solutions of three transcendental equations. The analytical results presented here confirm many of the previous numerical results on this subject but the results concerning the shapes with lines of contact reported up to now are revised." @default.
- W4248790856 created "2022-05-12" @default.
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- W4248790856 date "2011-01-01" @default.
- W4248790856 modified "2023-09-28" @default.
- W4248790856 title "Analytic Description of the Equilibrium Shapes of Elastic Rings Under Uniform Hydrostatic Pressure" @default.
- W4248790856 doi "https://doi.org/10.1063/1.3582749" @default.
- W4248790856 hasPublicationYear "2011" @default.
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