An updated Lagrangian Bézier finite element formulation for the analysis of slender beams
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Publication:5048094
DOI10.1177/10812865221101549OpenAlexW4284714490MaRDI QIDQ5048094
A. Scrofani, Domenico Castello, Leopoldo Greco, Massimo Cuomo
Publication date: 17 November 2022
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/10812865221101549
finite rotationsupdated Lagrangian formulationKirchhoff rod modelG1-conforming finite elementnon-linear beam element
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Cites Work
- Invariant Hermitian finite elements for thin Kirchhoff rods. I: The linear plane case
- Invariant Hermitian finite elements for thin Kirchhoff rods. II: The linear three-dimensional case
- An implicit \(G^1\) multi patch B-spline interpolation for Kirchhoff-Love space rod
- B-spline interpolation of Kirchhoff-Love space rods
- On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization
- The interpolation of rotations and its application to finite element models of geometrically exact rods
- On the geometrical stiffness of a beam in space - A consistent v.w. approach
- The (symmetric) Hessian for geometrically nonlinear models in solid mechanics: Intrinsic definition and geometric interpretation
- Variational theory for spatial rods
- An objective 3D large deformation finite element formulation for geometrically exact curved Kirchhoff rods
- On a stress resultant geometrically exact shell model. III: Computational aspects of the nonlinear theory
- Linear static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam
- An implicit \(\operatorname{G}^1\)-conforming bi-cubic interpolation for the analysis of smooth and folded Kirchhoff-Love shell assemblies
- Dynamic multi-patch isogeometric analysis of planar Euler-Bernoulli beams
- 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
- Numerical analysis of nonlinear wave propagation in a pantographic sheet
- A geometrically exact discrete elastic rod model based on improved discrete curvature
- Weak coupling of nonlinear isogeometric spatial Bernoulli beams
- Equilibrium paths of Hencky pantographic beams in a three-point bending problem
- Invariant isogeometric formulations for three-dimensional Kirchhoff rods
- Variational principles for nonlinear Kirchhoff rods
- A geometrically nonlinear Euler-Bernoulli beam model within strain gradient elasticity with isogeometric analysis and lattice structure applications
- A non-linear symmetric \(\mathrm{G}^1\)-conforming Bézier finite element formulation for the analysis of Kirchhoff beam assemblies
- Energy-based trajectory tracking and vibration control for multilink highly flexible manipulators
- Isogeometric collocation for three-dimensional geometrically exact shear-deformable beams
- A simple finite element for the geometrically exact analysis of Bernoulli-Euler rods
- Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature
- Rotation-free isogeometric analysis of an arbitrarily curved plane Bernoulli-Euler beam
- Piezoelectric control of the Hopf bifurcation of Ziegler's column with nonlinear damping
- Nonlinear isogeometric spatial Bernoulli beam
- Consistent tangent operator for an exact Kirchhoff rod model
- An isogeometric implicit \(G^1\) mixed finite element for Kirchhoff space rods
- Constitutive models for strongly curved beams in the frame of isogeometric analysis
- Isogeometric finite element data structures based on Bézier extraction of NURBS
- Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
- Finite element of slender beams in finite transformations: a geometrically exact approach
- Equilibria of a clamped Euler beam (Elastica) with distributed load: Large deformations
- In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results
- A discrete formulation of Kirchhoff rods in large-motion dynamics
- A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling
- Isogeometric analysis of plane-curved beams
- Finite element formulations for constrained spatial nonlinear beam theories
- An analytical assessment of finite element and isogeometric analyses of the whole spectrum of Timoshenko beams
- Nonlinear dynamics of uniformly loaded Elastica: Experimental and numerical evidence of motion around curled stable equilibrium configurations
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