On the global stability of two-dimensional, incompressible, elastic bars in uniaxial extension

DOI10.1098/rspa.2009.0368zbMath1195.74102OpenAlexW2127271924MaRDI QIDQ4931047

Spector, Scott J., Sivaloganathan, Jeyabal

Publication date: 2 October 2010

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2009.0368

zbMATH Keywords

elasticuniaxial tensionincompressiblehomogeneous absolute minimizer

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Dynamical systems in solid mechanics (37N15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

On the stability of incompressible elastic cylinders in uniaxial extension ⋮ Explicit energy-minimizers of incompressible elastic brittle bars under uniaxial extension ⋮ On the symmetry of energy-minimising deformations in nonlinear elasticity. I: Incompressible materials ⋮ On double-covering stationary points of a constrained Dirichlet energy ⋮ Embedding surfaces inside small domains with minimal distortion

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