Finite elements based on Jacobi shape functions for the free vibration analysis of beams, plates, and shells

E Carrera, D Scano - Mechanics of Advanced Materials and …, 2024‏ - Taylor & Francis
This article proposes the use of Jacobi polynomials as shape functions for the free vibration
analysis of beam, plate, and shell structures. Jacobi polynomials, indicated as P p (γ, θ) …

Unified formulation of geometrically nonlinear refined beam theories

A Pagani, E Carrera - Mechanics of Advanced Materials and …, 2018‏ - Taylor & Francis
ABSTRACT By using the Carrera Unified Formulation (CUF) and a total Lagrangian
approach, the unified theory of beams including geometrical nonlinearities is introduced in …

Buckling analysis of multi-span non-uniform beams with functionally graded graphene-reinforced foams

K Gao, H Huang, Z Zou, Z Wu, H Zhu, J Yang - International Journal of …, 2024‏ - Elsevier
This paper conducts the buckling analysis of multi-span functionally graded (FG) beams
reinforced by three-dimensional graphene foams (3D-GFs) restrained by elastic supports …

Analysis of laminated beams via Unified Formulation and Legendre polynomial expansions

A Pagani, AG De Miguel, M Petrolo, E Carrera - Composite Structures, 2016‏ - Elsevier
A novel one-dimensional refined model for the analysis of laminated structures is presented
in this paper. The Layer Wise approach in conjunction with the Carrera Unified Formulation …

[HTML][HTML] Stochastic stress analysis and failure onset of variable angle tow laminates affected by spatial fibre variations

A Pagani, AR Sanchez-Majano - Composites Part C: Open Access, 2021‏ - Elsevier
The usage of printed composites in the aerospace industry has been steadily increasing
over the last years. Especially, 3D printers and automatic fibre placement machines have …

Refined multilayered beam, plate and shell elements based on Jacobi polynomials

E Carrera, R Augello, A Pagani, D Scano - Composite Structures, 2023‏ - Elsevier
In this paper, theories of structures based on hierarchical Jacobi expansions are explored
for the static analysis of multilayered beams, plates and shells. They belong to the family of …

[كتاب][B] Mechanics of functionally graded material structures

IE Elishakoff, D Pentaras, C Gentilini - 2015‏ - books.google.com
Mechanics of Functionally Graded Material Structures is an authoritative and fresh look at
various functionally graded materials, customizing them with various structures. The book is …

Finite element models with node-dependent kinematics based on Legendre polynomials for the global–local analysis of compact and thin walled beams

E Zappino, D Scano, E Carrera - Computer Methods in Applied Mechanics …, 2023‏ - Elsevier
In the present work, enhanced one-dimensional finite elements with node-dependent
kinematics are proposed for the static analysis. Finite element governing equations are …

Coupled dynamics of axially functionally graded graphene nanoplatelets-reinforced viscoelastic shear deformable beams with material and geometric imperfections

K Yee, UM Kankanamalage, MH Ghayesh… - … Analysis with Boundary …, 2022‏ - Elsevier
This paper is the first to explore the coupled dynamics of geometrically and material-wise
imperfect axially functionally graded (AFG) graphene nanoplatelets-reinforced viscoelastic …

Influence of fiber misalignments on buckling performance of variable stiffness composites using layerwise models and random fields

A Pagani, AR Sanchez-Majano - Mechanics of Advanced Materials …, 2022‏ - Taylor & Francis
Additive manufacturing brought to the emergence of a new class of fiber-reinforced
materials; namely, the Variable Angle Tow (VAT) composites. Automated fiber placement …