Invariant isogeometric formulation for the geometric stiffness matrix of spatial curved Kirchhoff rods

DOI10.1016/j.cma.2021.113692zbMath1506.74177OpenAlexW3131223284MaRDI QIDQ2021958

Y. Z. Liu, Yeong-Bin Yang

Publication date: 27 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.cma.2021.113692

zbMATH Keywords

invariancegeometric stiffness matrixisogeometric analysisbuckling analysiscurved rodspatial Kirchhoff rod

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Isogeometric methods applied to problems in solid mechanics (74S22)

Related Items (5)

An updated Lagrangian Bézier finite element formulation for the analysis of slender beams ⋮ A novel four-field mixed FE approximation for Kirchhoff rods using Cartan's moving frames ⋮ Geometrically exact isogeometric Bernoulli-Euler beam based on the Frenet-Serret frame ⋮ A non-linear symmetric \(\mathrm{G}^1\)-conforming Bézier finite element formulation for the analysis of Kirchhoff beam assemblies ⋮ Geometrically exact static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam

Uses Software

• FEAPpv

Cites Work

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