On the stability of elastic annular rods

DOI10.1016/S0020-7683(02)00546-2zbMath1020.74017OpenAlexW2004007662MaRDI QIDQ1811562

Marzio Lembo

Publication date: 17 June 2003

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7683(02)00546-2

zbMATH Keywords

energy functionalvariational formulationsecond variationstability of equilibriuminfinitesimal deformationsKirchhoff's equationsnonlinearly elastic rodsannular ringsfinite transformation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60)

Related Items (4)

Exact solutions for post-buckling deformations of nanorods ⋮ A non-classical Kirchhoff rod model based on the modified couple stress theory ⋮ Twisted elastic rings and the rediscoveries of Michell's instability ⋮ Infinitesimal deformations and stability of rods made of nonlocal elastic materials

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