Asymptotic analysis of stability for prismatic solids under axial loads

DOI10.1016/S0022-5096(98)00009-XzbMath0976.74021MaRDI QIDQ1973978

W. Scherzinger, Nicholas Triantafyllidis

Publication date: 8 May 2000

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

zbMATH Keywords

stabilityeigenvalueselastic rodzero eigenvalueasymptotic analysisaxial loadmultiple scale method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Bifurcation and buckling (74G60)

Related Items (4)

Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching ⋮ Elastic rods with incompatible strain: macroscopic versus microscopic buckling ⋮ Necking of a hyperelastic solid cylinder under axial stretching: evaluation of the infinite-length approximation ⋮ The flip side of buckling

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bifurcation analysis of the onset of necking in an elastic/plastic cylinder under uniaxial tension
• On uniqueness and stability in the theory of finite elastic strain
• Localized necking in thin sheets
• Bifurcation phenomena in the plane compression test
• Bifurcation phenomena in the plane tension test
• Thickness effects on the stability of thin walled structures
• The Stability of a Circular Cylinder Under Finite Extension and Torsion
• Three-Dimensional Elasticity Solution for the Buckling of Transversely Isotropic Rods: The Euler Load Revisited
• General theory of small elastic deformations superposed on finite elastic deformations
• ON THE STABILITY OF A CIRCULAR TUBE UNDER END THRUST

This page was built for publication: Asymptotic analysis of stability for prismatic solids under axial loads