Localized Elasticae for the Strut on the Linear Foundation

DOI10.1115/1.2900971zbMath0803.73017OpenAlexW1995621385MaRDI QIDQ4303789

Giles W. Hunt, N. Shiacolas, M. Khurram Wadee

Publication date: 5 January 1995

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.2900971

zbMATH Keywords

indefinite quadratic formescapedouble-scale analysisfractal edgenonlinear volume-preserving Runge-Kutta runsspatial Lagrangian function

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite difference methods applied to problems in solid mechanics (74S20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Modified Monte Carlo method for buckling analysis of nonlinear imperfect structures ⋮ Hidden Asymptotic Symmetry in a Long Elastic Structure ⋮ The mode branching route to localization of the finite-length floating elastica ⋮ Elasto-plastic localised responses in one-dimensional structural models ⋮ Stable spatially localized configurations in a simple structure -- a global symmetry-breaking approach ⋮ Postbuckling analysis of columns resting on an elastic foundation ⋮ Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics ⋮ Solitary wave interaction phenomena in a strut buckling model incorporating restabilisation ⋮ Restabilization in structures susceptible to localized buckling: An approximate method for the extended post-buckling regime

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