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Variational principles for nonlinear Kirchhoff rods (Q2191408)

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Language	Label	Description	Also known as
English	Variational principles for nonlinear Kirchhoff rods	scientific article

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scholarly article

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Variational principles for nonlinear Kirchhoff rods (English)

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Cristian Guillermo Gebhardt

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publication date

24 June 2020

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full work available at URL

https://arxiv.org/abs/1902.05726

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Kirchhoff’s problem for nonlinearly elastic rods

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Nonlinear problems of elasticity

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There is More than One Way to Frame a Curve

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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.

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Finite element of slender beams in finite transformations: a geometrically exact approach

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Stability of anisotropic, naturally straight, helical elastic thin rods

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On the dynamics of rods in the theory of Kirchhoff and Clebsch

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Kirchhoff's theory of rods

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A Proof of the Hairy Ball Theorem

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Pythagorean-hodograph curves. Algebra and geometry inseparable

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Rational rotation-minimizing frames -- recent advances and open problems

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Analogy between a vortex-jet filament and the Kirchhoff elastic rod

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On the dynamics of elastic strips

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B-spline interpolation of Kirchhoff-Love space rods

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An implicit \(G^1\) multi patch B-spline interpolation for Kirchhoff-Love space rod

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Geometric Numerical Integration

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DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES

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Knot Types, Homotopies and Stability of Closed Elastic Rods

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Lagrangian Aspects of the Kirchhoff Elastic Rod

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Stability and bifurcation of helical equilibrium of a thin elastic rod

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Tendril perversion in intrinsically curved rods

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An objective 3D large deformation finite element formulation for geometrically exact curved Kirchhoff rods

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A unified approach for beam-to-beam contact

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Spatially complex equilibria of buckled rods

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Modeling nonlinear problems in the mechanics of strings and rods. The role of the balance laws

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The interpolation of rotations and its application to finite element models of geometrically exact rods

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Formulation and performance of variational integrators for rotating bodies

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A finite strain beam formulation. The three-dimensional dynamic problem. I

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On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization

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The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates

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Stability and bifurcation analysis of a spinning space tether

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Dynamics of geometrically nonlinear rods. I: Mechanical models and equations of motion

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Dynamics of geometrically nonlinear rods. II: Numerical methods and computational examples

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A non-classical Kirchhoff rod model based on the modified couple stress theory

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00707-019-02562-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:2191408

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