A two-director Cosserat rod model using unconstrained quaternions
type: Item
instance of: scholarly article
title: A two-director Cosserat rod model using unconstrained quaternions
zbMATH Open document ID: 1406.74383
author: Dario Genovese
published in: European Journal of Mechanics. A. Solids
publication date: 2018-09-03T00:00:00Z
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74A05
zbMATH DE Number: 6930765
zbMATH Keywords: Cosserat rod
zbMATH Keywords: quaternions
zbMATH Keywords: non-linear elasticity
MaRDI profile type: Publication
full work available at URL: j.euromechsol.2013.08.006
OpenAlex ID: W2061009686
cites work: Nonlinear problems of elasticity
cites work: Q3707530
cites work: A beam finite element non-linear theory with finite rotations
cites work: Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
cites work: Kinematics and dynamics of rigid and flexible mechanisms using finite elements and quaternion algebra
cites work: Consistent quaternion interpolation for objective finite element approximation of geometrically exact beam
cites work: Rethinking Quaternions
cites work: STRAIGHTFORWARD COMPUTATION OF SPATIAL EQUILIBRIA OF GEOMETRICALLY EXACT COSSERAT RODS
cites work: Computational aspects of vector‐like parametrization of three‐dimensional finite rotations
cites work: Bending instabilities of elastic tubes
cites work: Flexural instabilities of elastic rods
cites work: On One‐Dimensional Large‐Displacement Finite‐Strain Beam Theory
cites work: On finite deformations of space-curved beams
cites work: On the differentiation of the Rodrigues formula and its significance for the vector‐like parameterization of Reissner–Simo beam theory
cites work: The interpolation of rotations and its application to finite element models of geometrically exact rods
cites work: Numerical solution procedures for nonlinear elastic rods using the theory of a Cosserat point
cites work: On the accuracy of shell models for torsional buckling of carbon nanotubes
cites work: A finite strain beam formulation. The three-dimensional dynamic problem. I
cites work: A three-dimensional finite-strain rod model. II. Computational aspects
cites work: Statically and kinematically exact nonlinear theory of rods and its numerical verification
DOI: 10.1016/J.EUROMECHSOL.2013.08.006
description: scientific article; zbMATH DE number 6930765