Stability and equilibrium of the straight and curved elastica-finite element computation

DOI10.1016/0045-7825(81)90026-8zbMath0466.73089OpenAlexW1967197077MaRDI QIDQ1155420

Isaac Fried

Publication date: 1981

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(81)90026-8

zbMATH Keywords

equilibriumnonlinear elementsstraight and curved element

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items

On the use of a segmental shooting technique for multiple solutions of planar elastica problems ⋮ Exact solution of the thermal elastica problem using Jacobi elliptic functions ⋮ Stability of inflectional elasticae centered at vertices or inflection points ⋮ Stability analysis of planar equilibrium configurations of elastic rods subjected to end loads ⋮ Equilibria of a clamped Euler beam (Elastica) with distributed load: Large deformations ⋮ Orthogonal trajectory accession to the nonlinear equilibrium curve ⋮ The finite element solution of a class of elastica problems ⋮ Nonlinear finite element analysis of the thin elastic shell of revolution ⋮ Large-deflection computation of the plastica

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