Large deflection of thin plates in cylindrical bending - non-unique solutions

DOI10.1016/j.ijsolstr.2008.01.029zbMath1169.74471OpenAlexW2004265041MaRDI QIDQ837309

Vivek A. Jairazbhoy, Jianmin Qu, Pavel Petukhov

Publication date: 10 September 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2008.01.029

zbMATH Keywords

beamanalytical solutionscylindrical bendingboundary value problemplatelarge deflectionnon-unique solutions

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Multiplicity of solutions of equilibrium problems in solid mechanics (74G35)

Related Items (5)

Large deflection of thin plates in cylindrical bending - non-unique solutions ⋮ A homotopy-based wavelet method for extreme large bending analysis of heterogeneous anisotropic plate with variable thickness on orthotropic foundation ⋮ Nonlinear large deformation problem of rectangular thin plates and its perturbation solution under cylindrical bending: Transform from plate/membrane to beam/cable ⋮ Stability of inflectional elasticae centered at vertices or inflection points ⋮ Stability analysis of planar equilibrium configurations of elastic rods subjected to end loads

Uses Software

• IMSL Numerical Libraries
• minpack

Cites Work

• Large deflection of thin plates in cylindrical bending - non-unique solutions
• On one-dimensional finite-strain beam theory: the plane problem
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