Fully isogeometric modeling and analysis of nonlinear 3D beams with spatially varying geometric and material parameters

DOI10.1016/j.cma.2018.07.033zbMath1440.74191OpenAlexW2886034197MaRDI QIDQ1986373

Sai-Kit Yeung, Oliver Weeger, Martin L. Dunn

Publication date: 8 April 2020

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

Full work available at URL: https://tuprints.ulb.tu-darmstadt.de/19863

zbMATH Keywords

collocation methodisogeometric analysisfunctionally graded beams3D beamsspatially varying materials

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)

Related Items (7)

Weak coupling of nonlinear isogeometric spatial Bernoulli beams ⋮ Unified static equilibrium modeling and analysis of elastic rods with large deformations for complex constraints ⋮ An equilibrium‐based formulation with nonlinear configuration dependent interpolation for geometrically exact 3D beams ⋮ Image‐based isogeometric twins of lattices with virtual image correlation for varying cross‐section beams ⋮ An efficient displacement-based isogeometric formulation for geometrically exact viscoelastic beams ⋮ Geometrically nonlinear multi-patch isogeometric analysis of spatial Euler-Bernoulli beam structures ⋮ Stress analysis of generally asymmetric non-prismatic beams subject to arbitrary loads

Uses Software

• UMFPACK

Cites Work

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• Isogeometric collocation mixed methods for rods
• Isogeometric collocation for elastostatics and explicit dynamics
• B-spline interpolation of Kirchhoff-Love space rods
• Locking free isogeometric formulations of curved thick beams
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Studies of refinement and continuity in isogeometric structural analysis
• A finite strain beam formulation. The three-dimensional dynamic problem. I
• A three-dimensional finite-strain rod model. II. Computational aspects
• On finite deformations of space-curved beams
• A new beam finite element for the analysis of functionally graded materials.
• Non-prismatic Timoshenko-like beam model: numerical solution via isogeometric collocation
• Isogeometric collocation methods for the Reissner-Mindlin plate problem
• Single-variable formulations and isogeometric discretizations for shear deformable beams
• On Timoshenko-like modeling of initially curved and twisted composite beams.
• On finite element implementation of geometrically nonlinear Reissner's beam theory: Three-dimensional curved beam elements
• Multilayer beams: A geometrically exact formulation
• Isogeometric collocation for three-dimensional geometrically exact shear-deformable beams
• Isogeometric collocation methods for Cosserat rods and rod structures
• Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature
• Isogeometric collocation for Kirchhoff-Love plates and shells
• Geometric continuum mechanics and induced beam theories
• Isogeometric analysis of nonlinear Euler-Bernoulli beam vibrations
• Locking-free isogeometric collocation methods for spatial Timoshenko rods
• Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
• Isogeometric collocation for large deformation elasticity and frictional contact problems
• A discrete mechanics approach to the Cosserat rod theory-Part 1: static equilibria
• ISOGEOMETRIC COLLOCATION METHODS
• An Introduction to Isogeometric Collocation Methods
• Large displacement analysis of three-dimensional beam structures
• Erratum
• Isogeometric Analysis
• Algorithm 832
• Nonlinear problems of elasticity

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