Large-deflection analysis of shell structure by using corotational total Lagrangian formulation

DOI10.1016/0045-7825(89)90113-8zbMath0711.73234OpenAlexW2026128504MaRDI QIDQ922827

Hung-Chan Hung, Kuo Mo Hsiao

Publication date: 1989

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(89)90113-8

zbMATH Keywords

Newton-Raphson methodgeometric stiffness matrixlarge rotationsnonlinear shell problemsconstant arc length of incremental displacement vectorincremental iterative methodmoderate deformationsVon Kármán assumption

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15)

Related Items (4)

Geometrically nonlinear analysis of shell structures using a flat triangular shell finite element ⋮ Large displacement analysis of thin plates and shells using a flat facet finite element formulation ⋮ Versatile benchmark model reproducing snap-through, asymmetric, symmetric unstable/stable, and multiple bifurcation including hill-top branching in structural instability ⋮ Rotation vector and its complement parameterization for singularity-free corotational shell element formulations

Cites Work

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• A fast incremental/iterative solution procedure that handles “snap-through”
• Applications of higher order corotational stretch theories to nonlinear finite element analysis
• Large deflection analysis of plates and shallow shells using the finite element method
• A simple triangular facet shell element with applications to linear and non-linear equilibrium and elastic stability problems

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