Qualitative behavior of buckled nonlinearly elastic arches

DOI10.1007/BF00127449zbMath0445.73035OpenAlexW2059695430MaRDI QIDQ1145545

Stuart S. Antman, J. Ernest Dunn

Publication date: 1980

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00127449

zbMATH Keywords

hydrostatic pressurelinearizedboundary value problem for three-dimensional first-order system of ordinary differential equations in three basic geometrical unknowns of problemglobal bifurcation theorem of Rabinowitznonlinearly elastic circular arches

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (6)

Qualitative properties of large buckled states of spherical shells ⋮ Hanging cables with small bending stiffness ⋮ Bifurcation analysis of a circular arch under hydrostatic pressure ⋮ Large lateral buckling of nonlinearity elastic beams ⋮ Unnamed Item ⋮ Asymptotic shapes of inflated noncircular elastic rings

Cites Work

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• Ordinary differential equations of non-linear elasticity. I: Foundations of the theories of non-linearly elastic rods and shells
• Buckled states of nonlinearly elastic plates
• The shape of buckled nonlinearly elastic rings
• Some aspects of nonlinear eigenvalue problems
• Large buckled states of rotating rods
• A Generalization of Multiplicity and the Problem of Bifurcation
• Global Behavior of Buckled States of Nonlinearly Elastic Rods

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