Recent developments on refined theories for beams with applications

E Carrera, A Pagani, M Petrolo… - Mechanical Engineering …, 2015 - jstage.jst.go.jp
This paper is a review of the most influential approaches to developing beam models that
have been proposed over the last few decades. Essentially, primary attention has been paid …

Refined beam elements with only displacement variables and plate/shell capabilities

E Carrera, M Petrolo - Meccanica, 2012 - Springer
This paper proposes a refined beam formulation with displacement variables only. Lagrange-
type polynomials, in fact, are used to interpolate the displacement field over the beam cross …

[HTML][HTML] Static analyses of FGM beams by various theories and finite elements

M Filippi, E Carrera, AM Zenkour - Composites Part B: Engineering, 2015 - Elsevier
Abstract The 1D Carrera Unified Formulation (CUF) is here used to perform static analyses
of functionally graded (FG) structures. The hierarchical feature of CUF allows one to …

Efficient CUF-based FEM analysis of thin-wall structures with Lagrange polynomial expansion

X Xu, N Fallahi, H Yang - Mechanics of Advanced Materials and …, 2022 - Taylor & Francis
Thin-walled structures have been widely adopted in engineering projects because of the
advantages of good load-bearing capacity, light weight and low cost. In this paper, a refined …

Assessing effects of parameters of viscoelastic foundation on the dynamic response of functionally graded plates using a novel HSDT theory

H Frahlia, R Bennai, M Nebab… - Mechanics of …, 2023 - Taylor & Francis
In this study, vibration response of functionally graded plate resting on a viscoelastic
foundation is studied. An analytical solution is proposed using a high-order shear …

[HTML][HTML] Free vibration of FGM layered beams by various theories and finite elements

DS Mashat, E Carrera, AM Zenkour… - Composites Part B …, 2014 - Elsevier
Abstract The Carrera Unified Formulation (CUF) is used to perform free-vibrational analyses
of functionally graded (FG) structures. CUF is a hierarchical formulation for obtaining refined …

Free vibration analysis of rotating composite blades via Carrera Unified Formulation

E Carrera, M Filippi, E Zappino - Composite Structures, 2013 - Elsevier
Abstract Carrera Unified Formulation (CUF) is used to perform free-vibrational analyses of
rotating structures. CUF is a hierarchical formulation which offers a procedure to obtain …

Laminated beam analysis by polynomial, trigonometric, exponential and zig-zag theories

E Carrera, M Filippi, E Zappino - European Journal of Mechanics-A/Solids, 2013 - Elsevier
A number of refined beam theories are discussed in this paper. These theories were
obtained by expanding the unknown displacement variables over the beam section axes by …

Refined one-dimensional formulations for laminated structure analysis

E Carrera, M Petrolo - AIAA journal, 2012 - arc.aiaa.org
A LARGE number of structures can be analyzed by means of one-dimensional (1-D)
formulations. Typical slender 1-D structures, which are usually denoted as beams, are …

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 …