5.—Qualitative Aspects of the Spatial Deformation of Non-linearly Elastic Rods.

DOI10.1017/S0308210500016309zbMath0351.73076MaRDI QIDQ4121485

Kathleen B. Jordan, Stuart S. Antman

Publication date: 1975

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Elastic materials (74B99)

Related Items (18)

A three-dimensional finite-strain rod model. II. Computational aspects ⋮ On the dynamics in space of rods undergoing large motions - A geometrically exact approach ⋮ Extendability of Kirchhoff elastic rods in complete Riemannian manifolds ⋮ Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods ⋮ Beam elements in instability problems ⋮ The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates ⋮ Kirchhoff elastic rods in five-dimensional space forms whose centerlines are not helices ⋮ On the planar \textit{elastica}, stress, and material stress ⋮ Large buckled states of nonlinearly elastic rods under torsion, thrust, and gravity ⋮ Acceleration wave propagation in hyperelastic rods of variable cross- section ⋮ Ordinary differential equations of non-linear elasticity. I: Foundations of the theories of non-linearly elastic rods and shells ⋮ Ordinary differential equations of non-linear elasticity. II: Existence and regularity theory for conservative boundary value problems ⋮ Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods ⋮ Qualitative methods in bifurcation theory ⋮ GLOBAL SOLUTIONS OF THE EQUATION OF THE KIRCHHOFF ELASTIC ROD IN SPACE FORMS ⋮ Planar equilibria of an elastic rod wrapped around a circular capstan ⋮ Post-buckling behavior of a nonlinearly hyperelastic thin rod with cross- section invariant under the dihedral group \(D_ n\) ⋮ Natural frequencies of pre-buckled rods and gridshells

Cites Work

• Unnamed Item
• Exact theory of stress and strain in rods and shells
• Simpler static problems in nonlinear theories of rods
• Kirchhoff’s problem for nonlinearly elastic rods
• [https://portal.mardi4nfdi.de/wiki/Publication:5554231 R�umliche Verzweigungsprobleme des d�nnen elastischen Stabes mit endlichen Verformungen]

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