Invariant isogeometric formulations for three-dimensional Kirchhoff rods

DOI10.1016/j.cma.2020.112996zbMath1442.74109OpenAlexW3014445297MaRDI QIDQ2184309

Yanyan Li

Publication date: 28 May 2020

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.2020.112996

zbMATH Keywords

invarianceisogeometric analysisangle of twistrigid-body modethree-dimensional 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 ⋮ 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 ⋮ Invariant isogeometric formulation for the geometric stiffness matrix of spatial curved Kirchhoff rods ⋮ Geometrically exact static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam

Uses Software

• FEAPpv

Cites Work

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