Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods

DOI10.1016/j.physd.2013.03.003zbMath1284.74062OpenAlexW1997443899MaRDI QIDQ2442065

Apala Majumdar, Alain Goriely

Publication date: 31 March 2014

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:5ce5110d-1ed9-45cd-9f9d-87f704f9b41d

zbMATH Keywords

elastic rodsdynamic stabilityenergy minimizersEuler bucklingstatic stabilitylocal drag models

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55)

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On global and local minimizers of prestrained thin elastic rods ⋮ A bottom‐up optimization method for inverse design of two‐dimensional clamped‐free elastic rods ⋮ On a nonlinear rod exhibiting only axial and bending deformations: mathematical modeling and numerical implementation

Cites Work

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• Stability estimates for a twisted rod under terminal loads: a three-dimensional study
• Stability of nonlinearly elastic rods
• On the dynamics of rods in the theory of Kirchhoff and Clebsch
• On stability analyses of three classical buckling problems for the elastic strut
• Nonlinear dynamics of filaments. II: Nonlinear analysis
• Nonlinear dynamics of filaments. I: Dynamical instabilities
• Some Open Problems in Elasticity
• Nonlinear dynamical theory of the elastica
• Isoperimetric conjugate points with application to the stability of DNA minicircles
• Elastic rods, rigid bodies, quaternions and the last quadrature
• Towards a classification of Euler–Kirchhoff filaments
• Helices
• Methods for determining stability in continuum elastic-rod models of DNA
• Nonlinear problems of elasticity
• Direct methods in the calculus of variations