Asymptotics of cellular buckling close to the Maxwell load

DOI10.1098/rspa.2001.0843zbMath1011.74023OpenAlexW2122638156MaRDI QIDQ4531660

Giles W. Hunt, Rachel Kuske, Chris J. Budd

Publication date: 22 May 2002

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

Full work available at URL: https://doi.org/10.1098/rspa.2001.0843

zbMATH Keywords

asymptotic solutionperiodic solutioncritical loadmulti-scale analysisweakly nonlinear analysisdestabilizationrestabilizationaxial compressive loadelastic strutMaxwell loadlarge-amplitude heteroclinic connectionlocalized cellular post-buckled statenonlinear Winkler foundationunbuckled solution

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) Bifurcation and buckling (74G60)

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