Frame-invariance in finite element formulations of geometrically exact rods
From MaRDI portal
Publication:1680424
DOI10.1007/s10483-016-2147-8zbMath1374.74080OpenAlexW2553855731MaRDI QIDQ1680424
Peinan Zhong, Guojun Huang, Guo-Wei Yang
Publication date: 16 November 2017
Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: http://dspace.imech.ac.cn/handle/311007/59939
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Applications of differential geometry to physics (53Z05)
Cites Work
- Unnamed Item
- Unnamed Item
- The interpolation of rotations and its application to finite element models of geometrically exact rods
- A frame-invariant scheme for the geometrically exact beam using rotation vector parametrization
- A finite strain beam formulation. The three-dimensional dynamic problem. I
- A three-dimensional finite-strain rod model. II. Computational aspects
- On the dynamics in space of rods undergoing large motions - A geometrically exact approach
- The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates
- On the choice of finite rotation parameters
- On the role of frame invariance in structural mechanics models at finite rotations
- Geometrically exact 3D beam theory: Implementation of a strain-invariant finite element for statics and dynamics
- On one-dimensional finite-strain beam theory: the plane problem
- Total Lagrangian Reissner's geometrically exact beam element without singularities
- A beam finite element non-linear theory with finite rotations
- Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
- 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
- Frame-indifferent beam finite elements based upon the geometrically exact beam theory
- Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithms
- Computational aspects of vector‐like parametrization of three‐dimensional finite rotations
This page was built for publication: Frame-invariance in finite element formulations of geometrically exact rods
