The Intricate Global Structure of Buckled States of Compressible Columns

DOI10.1137/0150024zbMath0707.73029OpenAlexW2058148756MaRDI QIDQ3489580

Stuart S. Antman, John F. Pierce

Publication date: 1990

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0150024

zbMATH Keywords

flexurecompressionsingularity theoryshearbifurcating branchesgeneral nonlinear constitutive lawgeometrically exact theory of rodsglobal qualitative propertieslocal and global multiparameter bifurcation methodsnodal theorynonbifurcating solution branches

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Theory of singularities and catastrophe theory (58K99) Asymptotic expansions of solutions to ordinary differential equations (34E05) Differentiable maps on manifolds (58C25) Local and nonlocal bifurcation theory for dynamical systems (37G99) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items

Secondary bifurcation of a compressible rod with spring-supports ⋮ Wrinkling behavior of highly stretched rectangular elastic films via parametric global bifurcation ⋮ Buckling of extensible thermoelastic rods ⋮ Global properties of buckled states of plates that can suffer thickness changes ⋮ Transcritical buckling of columns ⋮ A justification of nonlinear properly invariant plate theories