Analytic description and explicit parametrisation of the equilibrium shapes of elastic rings and tubes under uniform hydrostatic pressure

Elliptic Functions and Applications

Acta Applicandae Mathematicae · 1991 · 618 citations · Full text

Natural Sciences, Computer Science, Mathematics +12

Post Buckling Behavior of Elastic Tubes and Rings with Opposite Sides in Contact

Joseph E. Flaherty, Joseph B. Keller, S. I. Rubinow · SIAM Journal on Applied Mathematics · 1972 · 194 citations

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Academic Press dictionary of science and technology

Choice Reviews Online · 2001 · 129 citations

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Equilibrium states of elastic rings

Iradj G. Tadjbakhsh, Fadwa Odeh · Journal of Mathematical Analysis and Applications · 1967 · 105 citations

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Area-constrained planar elastica

Guillermo Arreaga, Riccardo Capovilla, Chryssomalis Chryssomalakos et al. · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2002 · 71 citations · Full text

Natural Sciences, Mathematics, Computational Mechanics +15