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Frame-invariance in finite element formulations of geometrically exact rods (Q1680424)

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scientific article; zbMATH DE number 6807440

Language	Label	Description	Also known as
English	Frame-invariance in finite element formulations of geometrically exact rods	scientific article; zbMATH DE number 6807440

Statements

scholarly article

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Frame-invariance in finite element formulations of geometrically exact rods (English)

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AMM. Applied Mathematics and Mechanics. (English Edition)

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publication date

16 November 2017

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full work available at URL

http://dspace.imech.ac.cn/handle/311007/59939

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zbMATH Keywords

geometrically exact rod

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finite element method

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interpolation

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equivariance

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frame invariance

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MaRDI profile type

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On one-dimensional finite-strain beam theory: the plane problem

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

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A three-dimensional finite-strain rod model. II. Computational aspects

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

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A beam finite element non-linear theory with finite rotations

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Computational aspects of vector‐like parametrization of three‐dimensional finite rotations

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Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation

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Geometrically exact 3D beam theory: Implementation of a strain-invariant finite element for statics and dynamics

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An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum conserving scheme in dynamics

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Frame-indifferent beam finite elements based upon the geometrically exact beam theory

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On the role of frame invariance in structural mechanics models at finite rotations

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A frame-invariant scheme for the geometrically exact beam using rotation vector parametrization

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Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithms

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

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On the dynamics in space of rods undergoing large motions - A geometrically exact approach

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On the choice of finite rotation parameters

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Total Lagrangian Reissner's geometrically exact beam element without singularities

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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/S10483-016-2147-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:1680424

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