Stability estimates for a twisted rod under terminal loads: a three-dimensional study

DOI10.1007/S10659-012-9371-8zbMath1255.74007OpenAlexW2081970164MaRDI QIDQ695324

Apala Majumdar, Christopher Prior, Alain Goriely

Publication date: 21 December 2012

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:87e52b2c-bf5f-45e8-bc8c-876c6dfa53fb

zbMATH Keywords

Cosserat rodsstability of straight axis solutionvariational criterion

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Nonlinear elasticity (74B20)

Related Items (5)

On global and local minimizers of prestrained thin elastic rods ⋮ Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods ⋮ A catalogue of stable equilibria of planar extensible or inextensible elastic rods for all possible Dirichlet boundary conditions ⋮ Stability of a strut with one end fixed and the other pinned only at the first bifurcation point ⋮ Roadmap to the morphological instabilities of a stretched twisted ribbon

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