A higher-order shear deformable mixed beam element model for accurate analysis of functionally graded sandwich beams

W Li, H Ma, W Gao - Composite Structures, 2019 - Elsevier
In this paper, a new higher-order shear deformation beam theory is developed by
introducing the stress equilibrium condition. On the basis of the new shear deformation …

An iso-parametric -conforming finite element for the nonlinear analysis of Kirchhoff rod. Part I: the 2D case

L Greco - Continuum Mechanics and Thermodynamics, 2020 - Springer
A geometrically exact nonlinear iso-parametric G^ 1 G 1-conforming finite element
formulation for the analysis of Kirchhoff rods, based on the cubic Bézier curve interpolation …

Vibration analysis of functionally graded beams using a higher-order shear deformable beam model with rational shear stress distribution

S Chen, R Geng, W Li - Composite Structures, 2021 - Elsevier
This paper extends the higher-order shear deformable mixed beam element model with
rational shear stress distribution to vibration analysis of functionally graded (FG) beams. In …

A parametric study on geometrically nonlinear behavior of curved beams with single and double link rods, and supported on moving boundary

S Ghuku, KN Saha - International Journal of Mechanical Sciences, 2019 - Elsevier
The paper presents a parametric study on effect of several geometric parameters on stress
and deformation behavior of non-uniform curved beam with moving boundary. The …

Magneto-viscoelastic rod model for hard-magnetic soft rods under 3D large deformation: Theory and numerical implementation

X Li, D Zhang, J Guan, J Liu, H Yuan - International Journal of Solids and …, 2024 - Elsevier
The main purpose of this work is to develop a three-dimensional (3D) viscoelastic rod model
for hard-magnetic soft (HMS) rods under large deformation which are widely used active …

Geometrically exact beam element with rational shear stress distribution for nonlinear analysis of FG curved beams

W Li, H Ma, W Gao - Thin-Walled Structures, 2021 - Elsevier
Based on the geometrically exact beam theory, a first-order shear deformable curved beam
element is developed for geometrically nonlinear analysis of functionally graded (FG) curved …

[HTML][HTML] Buckling analysis of geometrically nonlinear curved beams

S Stoykov - Journal of Computational and Applied Mathematics, 2018 - Elsevier
The equation of motion of curved beams is derived in polar coordinate system which
represents exactly the geometry of the beam. The displacements of the beam in radial and …

A nonlinear cross-section deformable thin-walled beam finite element model with high-order interpolation of warping displacement

W Li, H Ma - Thin-Walled Structures, 2020 - Elsevier
In this paper, a new finite element model is developed for nonlinear analysis of thin-walled
beams by introducing a high-order interpolation for the warping displacement field to better …

Geometrically exact beam element with predefined stress resultant fields for nonlinear analysis of FG curved beams with discontinuous stiffness

W Li, R Geng, S Chen, H Huang - Composite Structures, 2021 - Elsevier
Based on the geometrically exact beam theory, a novel force-based beam finite element
formulation is proposed in this paper for geometrically nonlinear analysis of functional …

A geometrically exact discrete elastic rod model based on improved discrete curvature

Y Liu, K Song, L Meng - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
This paper presents a discrete, geometrically exact elastic rod model based on improved
discrete curvature. The model is an extension of finite difference type discretization of …