Nonlinear performance of continuum mechanics based beam elements focusing on large twisting behaviors
From MaRDI portal
Publication:1668764
DOI10.1016/j.cma.2014.07.023zbMath1423.74938OpenAlexW2106598867MaRDI QIDQ1668764
Publication date: 29 August 2018
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2014.07.023
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60)
Related Items (max. 100)
An efficient mixed interpolated curved beam element for geometrically nonlinear analysis ⋮ The strain-smoothed 4-node quadrilateral finite element ⋮ Deep learned finite elements ⋮ A transfer matrix method capable of determining the exact solutions of a twisted Bernoulli-Euler beam with multiple edge cracks
Uses Software
Cites Work
- Unnamed Item
- A mixed hybrid finite beam element with an interface to arbitrary three-dimensional material models
- A nonlinear hu-washizu variational formulation and related finite-element implementation for spatial beams with arbitrary moderate thick cross-sections
- The quaternion-based three-dimensional beam theory
- A geometrically-exact rod model incorporating shear and torsion-warping deformation
- A co-rotational formulation for 3D beam element using vectorial rotational variables
- Lateral buckling analysis of beams of arbitrary cross section by BEM
- A three-dimensional finite-strain rod model. II. Computational aspects
- On the choice of finite rotation parameters
- An excursion into large rotations
- Geometrically exact 3D beam theory: Implementation of a strain-invariant finite element for statics and dynamics
- A solid-beam finite element and non-linear constitutive modelling
- A consistent co-rotational formulation for nonlinear, three-dimensional, beam-elements
- Non-linear spatial Timoshenko beam element with curvature interpolation
- On a non-linear formulation for curved Timoshenko beam elements considering large displacement/rotation increments
- A beam finite element non-linear theory with finite rotations
- Large displacement formulation of a three-dimensional beam element with cross-sectional warping
- Applications of higher order corotational stretch theories to nonlinear finite element analysis
- Large displacement analysis of three-dimensional beam structures
- Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
- On the differentiation of the Rodrigues formula and its significance for the vector‐like parameterization of Reissner–Simo beam theory
- Computational aspects of vector‐like parametrization of three‐dimensional finite rotations
- A spatially curved‐beam element with warping and Wagner effects
- On large displacement-small strain analysis of structures with rotational degrees of freedom
- A general beam finite element with deformable cross-section.
- Finite element analysis of Saint-Venant torsion problem with exact integration of the elastic-plastic constitutive equations
This page was built for publication: Nonlinear performance of continuum mechanics based beam elements focusing on large twisting behaviors