Variational principles for nonlinear Kirchhoff rods
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Publication:2191408
DOI10.1007/s00707-019-02562-0zbMath1435.74052arXiv1902.05726OpenAlexW3103178008WikidataQ126757012 ScholiaQ126757012MaRDI QIDQ2191408
Ignacio Romero, Cristian Guillermo Gebhardt
Publication date: 24 June 2020
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.05726
Related Items (6)
An updated Lagrangian Bézier finite element formulation for the analysis of slender beams ⋮ A framework for data-driven structural analysis in general elasticity based on nonlinear optimization: the static case ⋮ A novel four-field mixed FE approximation for Kirchhoff rods using Cartan's moving frames ⋮ On a nonlinear rod exhibiting only axial and bending deformations: mathematical modeling and numerical implementation ⋮ The rotating rigid body model based on a non-twisting frame ⋮ A finite element method for simulating soft active non-shearable rods immersed in generalized Newtonian fluids
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Cites Work
- An implicit \(G^1\) multi patch B-spline interpolation for Kirchhoff-Love space rod
- B-spline interpolation of Kirchhoff-Love space rods
- Modeling nonlinear problems in the mechanics of strings and rods. The role of the balance laws
- On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization
- Rational rotation-minimizing frames -- recent advances and open problems
- The interpolation of rotations and its application to finite element models of geometrically exact rods
- Stability and bifurcation analysis of a spinning space tether
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- Formulation and performance of variational integrators for rotating bodies
- A finite strain beam formulation. The three-dimensional dynamic problem. I
- Spatially complex equilibria of buckled rods
- The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates
- Kirchhoff's theory of rods
- On the dynamics of rods in the theory of Kirchhoff and Clebsch
- An objective 3D large deformation finite element formulation for geometrically exact curved Kirchhoff rods
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
- Tendril perversion in intrinsically curved rods
- Dynamics of geometrically nonlinear rods. I: Mechanical models and equations of motion
- Dynamics of geometrically nonlinear rods. II: Numerical methods and computational examples
- Stability and bifurcation of helical equilibrium of a thin elastic rod
- A unified approach for beam-to-beam contact
- A non-classical Kirchhoff rod model based on the modified couple stress theory
- Analogy between a vortex-jet filament and the Kirchhoff elastic rod
- A Proof of the Hairy Ball Theorem
- There is More than One Way to Frame a Curve
- Kirchhoff’s problem for nonlinearly elastic rods
- Finite element of slender beams in finite transformations: a geometrically exact approach
- Knot Types, Homotopies and Stability of Closed Elastic Rods
- Lagrangian Aspects of the Kirchhoff Elastic Rod
- Stability of anisotropic, naturally straight, helical elastic thin rods
- DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES
- Geometric Numerical Integration
- Nonlinear problems of elasticity
- On the dynamics of elastic strips
- Unnamed Item
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