On the hybrid-mixed formulation of \(C^ 0\) curved beam elements

DOI10.1016/0045-7825(87)90131-9zbMath0602.73070OpenAlexW1995702825MaRDI QIDQ1082146

B. George

Publication date: 1987

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(87)90131-9

zbMATH Keywords

shear deformationdisplacementstress fieldsmesh convergenceHellinger-Reissner variational principleintrinsicC(sup 0) elementscurved beam elementsapproximated separatelyhybrid-mixed formulationlinear and quadratic displacement fieldsmembrane-shear lockingstandard stiffness equationsstress predictions

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (13)

Boundary equations in the finite transfer method for solving differential equation systems ⋮ A new component mode synthesis for dynamic mixed thin plate finite element models ⋮ Free in-plane vibration of curved beam structures: A tutorial and the state of the art ⋮ Various double component mode synthesis and sub-structuring methods for dynamic mixed FEM ⋮ Invariant Hermitian finite elements for thin Kirchhoff rods. I: The linear plane case ⋮ Numerical transfer-method with boundary conditions for arbitrary curved beam elements ⋮ A higher-order hybrid-mixed harmonic shell-of-revolution element ⋮ Arch beam models: Finite element analysis and superconvergence ⋮ On the analytical approach to the linear analysis of an arbitrarily curved spatial Bernoulli-Euler beam ⋮ An effective composite laminated curved beam element ⋮ Unnamed Item ⋮ On the mixed formulation of a 9-node Lagrange shell element ⋮ FORCES, MOMENTS, ROTATIONS, AND DISPLACEMENTS OF POLYNOMIAL-SHAPED CURVED BEAMS

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