A Lagrangian Hencky-type non-linear model suitable for metamaterials design of shearable and extensible slender deformable bodies alternative to Timoshenko …

E Turco, E Barchiesi, I Giorgio, F Dell'Isola - International Journal of Non …, 2020 - Elsevier
Among the most studied models in mathematical physics, Timoshenko beam is outstanding
for its importance in technological applications. Therefore it has been extensively studied …

The GDQ method for the free vibration analysis of arbitrarily shaped laminated composite shells using a NURBS-based isogeometric approach

F Tornabene, N Fantuzzi, M Bacciocchi - Composite Structures, 2016 - Elsevier
A numerical procedure based on the Generalized Differential Quadrature (GDQ) method is
presented to solve the strong form of the differential equations that govern the free vibration …

A new doubly-curved shell element for the free vibrations of arbitrarily shaped laminated structures based on Weak Formulation IsoGeometric Analysis

F Tornabene, N Fantuzzi, M Bacciocchi - Composite Structures, 2017 - Elsevier
The main aim of the paper is to present a new numerical method to solve the weak
formulation of the governing equations for the free vibrations of laminated composite shell …

Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature

E Marino - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
This paper presents a displacement-based and a mixed isogeometric collocation
formulations for three-dimensional geometrically exact shear-deformable beams with …

[HTML][HTML] An efficient displacement-based isogeometric formulation for geometrically exact viscoelastic beams

G Ferri, D Ignesti, E Marino - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
We propose a novel approach to the linear viscoelastic problem of shear-deformable
geometrically exact beams. The generalized Maxwell model for one-dimensional solids is …

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 …

Shape sensing of Timoshenko beam subjected to complex multi-node loads using isogeometric analysis

K Chen, K Cao, G Gao, H Bao - Measurement, 2021 - Elsevier
An effective computational method, which employs fewer strain sensors to reconstruct the
Timoshenko beam under complex loads, is proposed. This method takes inverse Finite …

[HTML][HTML] On the role of surface elasticity in nonlinear planar stability of FG porous reinforced nanosize curved beams having different degrees of curvature

S Sahmani, B Safaei, T Rabczuk - European Journal of Mechanics-A/Solids, 2024 - Elsevier
The prime target of the present study is to inspect the role of surface elasticity at nanoscale
in changing the stability branches as well as lower and upper limit loads of uniformly …

[HTML][HTML] An isogemetric analysis formulation for the dynamics of geometrically exact viscoelastic beams and beam systems with arbitrarily curved initial geometry

G Ferri, E Marino - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
We present a novel formulation for the dynamics of geometrically exact Timoshenko beams
and beam structures made of viscoelastic material featuring complex, arbitrarily curved initial …

Mixed isogeometric collocation for geometrically exact 3D beams with elasto-visco-plastic material behavior and softening effects

O Weeger, D Schillinger, R Müller - Computer Methods in Applied …, 2022 - Elsevier
A geometrically nonlinear, shear-deformable 3D beam formulation with inelastic material
behavior and its numerical discretization by a mixed isogeometric collocation method are …