A group-theoretic approach to the geometry of elastic rings

DOI10.1007/BF01209022zbMath0857.73015MaRDI QIDQ2564214

Gábor Domokos

Publication date: 9 March 1997

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

zbMATH Keywords

nontrivial solutionstrivial solutiontwisted homogeneous ring

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Symmetric groups (20B30)

Related Items

Classifications of ideal 3D elastica shapes at equilibrium ⋮ Importance and effectiveness of representing the shapes of Cosserat rods and framed curves as paths in the special Euclidean algebra ⋮ MULTIPLE HELICAL PERVERSIONS OF FINITE, INTRISTICALLY CURVED RODS ⋮ Symmetry breaking and the twisted elastic ring ⋮ Computation of elastic equilibria of complete Möbius bands and their stability ⋮ Towards a classification of Euler–Kirchhoff filaments

Cites Work

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• Stability of nonlinearly elastic rods
• Symmetry and equivariance in nonlinear elastostatics. I
• Conservation laws in the dynamics of rods
• Knotted Elastic Curves in R ³
• Large Rotatory Oscillations of Transversely Isotropic Rods: Spatio-Temporal Symmetry-Breaking Bifurcation
• Taylor Approximation of Operators with Discrete Rotational Symmetry