Buckling of a nonlinearly elastic column: Variational principles, bifurcation and asymptotics

DOI10.1216/rmjm/1181072250zbMath0828.73032OpenAlexW2063037399MaRDI QIDQ1898293

Peter Wolfe

Publication date: 4 January 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072250

zbMATH Keywords

phase plane analysisequilibrium statessingular perturbation theoryinextensible rodnonlinear moment-curvature equation

Mathematics Subject Classification ID

Related Items (1)

Stability of heterogeneous beams with three supports through Green functions

Cites Work

• Unnamed Item
• Stability of nonlinearly elastic rods
• Large rotating states of a conducting elastic wire in a magnetic field: Subtle symmetry and multiparameter bifurcation
• Equilibrium states of an elastic conducting rod in a magnetic field
• Global and local behavior of bifurcating multidimensional continua of solutions for multiparameter nonlinear eigenvalue problems
• The implicit function theorem and the global methods of cohomology
• Phase-plane solutions to some singular perturbation problems
• Bifurcation theory of a conducting rod subject to magnetic forces
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Bifurcation from simple eigenvalues
• Some aspects of nonlinear eigenvalue problems
• Global Bifurcations and Continuation in the Presence of Symmetry with an Application to Solid Mechanics
• BIFURCATION THEORY OF AN ELASTIC CONDUCTING ROD IN A MAGNETIC FIELD
• The Homotopy Continuation Method: Numerically Implementable Topological Procedures
• Global Behavior of Buckled States of Nonlinearly Elastic Rods
• Design of Material Properties That Yield a Prescribed Global Buckling Response

This page was built for publication: Buckling of a nonlinearly elastic column: Variational principles, bifurcation and asymptotics