Characterization of limiting homoclinic behaviour in a one-dimensional elastic buckling model

DOI10.1016/S0022-5096(00)00018-1zbMath0991.74030OpenAlexW2125205148WikidataQ57942820 ScholiaQ57942820MaRDI QIDQ1584899

M. Khurram Wadee, Andrew P. Bassom

Publication date: 6 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0022-5096(00)00018-1

zbMATH Keywords

stabilitybifurcationasymptotic analysisquintic nonlinearityevolution of solution structurelocalization of buckle patternsmultiple-scale asymptotic analysisone-dimensional elastic buckling modelsecond-order amplitude equations

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Bifurcation and buckling (74G60)

Related Items (6)

Cellular buckling from mode interaction in I-beams under uniform bending ⋮ Numerical study on the instability of localized buckling modes in the axially compressed strut on a distributed-spring elastic foundation with softening quadratic nonlinearity ⋮ Localized Turing patterns in nonlinear optical cavities ⋮ Elasto-plastic localised responses in one-dimensional structural models ⋮ Solitary wave interaction phenomena in a strut buckling model incorporating restabilisation ⋮ Effects of orthotropy and variation of Poisson's ratio on the behaviour of tubes in pure flexure

Uses Software

• AUTO

Cites Work

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