A series of locking-free beam element models in absolute nodal coordinate formulation
M Zheng, M Tong, J Chen, F Liu, X Pan - Multibody System Dynamics, 2024 - Springer
To alleviate the locking problem in the ANCF beam elements, sufficient transverse gradient
vectors are incorporated in the cross section to enrich the distribution of transverse strain …
vectors are incorporated in the cross section to enrich the distribution of transverse strain …
[HTML][HTML] A robust finite strain isogeometric solid-beam element
In this work, an efficient and robust isogeometric three-dimensional solid-beam finite
element is developed for large deformations and finite rotations with merely displacements …
element is developed for large deformations and finite rotations with merely displacements …
A new finite element interpolation of the Cosserat directors for nonlinear three-dimensional Kirchhoff rods
F Armero - Computer Methods in Applied Mechanics and …, 2025 - Elsevier
We present in this contribution an interpolation of the rotations describing the Cosserat
frame for a Kirchhoff rod. The frames are characterized by the director perpendicular to the …
frame for a Kirchhoff rod. The frames are characterized by the director perpendicular to the …
A finite element for nonlinear three-dimensional Kirchhoff rods
F Armero - Computers & Structures, 2024 - Elsevier
This paper presents the formulation of a finite element method for nonlinear Kirchhoff rods
(ie without transverse shear strain) in the general three-dimensional setting defined by a …
(ie without transverse shear strain) in the general three-dimensional setting defined by a …
An objective isogeometric mixed finite element formulation for nonlinear elastodynamic beams with incompatible warping strains
We present a stable mixed isogeometric finite element formulation for geometrically and
materially nonlinear beams in transient elastodynamics, where a Cosserat beam formulation …
materially nonlinear beams in transient elastodynamics, where a Cosserat beam formulation …