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 …

Some closed-form solutions for static, buckling, free and forced vibration of functionally graded (FG) nanobeams using nonlocal strain gradient theory

M Şimşek - Composite Structures, 2019 - Elsevier
In this paper, static bending, buckling, free and forced vibration of functionally graded (FG)
nanobeams are studied within the framework of the recently proposed nonlocal strain …

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 …

The glass transition temperature of PMMA: A molecular dynamics study and comparison of various determination methods

M Mohammadi, J Davoodi - European Polymer Journal, 2017 - Elsevier
The glass transition temperature (T g) governs the mechanical and physical performances of
polymeric materials and thus their ultimate applications. Although an extensive body of …

A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams

AI Aria, T Rabczuk, MI Friswell - European Journal of Mechanics-A/Solids, 2019 - Elsevier
In this study, for the first time, a nonlocal finite element model is proposed to analyse thermo-
elastic behaviour of imperfect functionally graded porous nanobeams (P-FG) on the basis of …

On the free vibration characteristics of postbuckled third-order shear deformable FGM nanobeams including surface effects

S Sahmani, MM Aghdam, M Bahrami - Composite Structures, 2015 - Elsevier
On the basis of an efficient numerical solution methodology, the free vibration response of
third-order shear deformable nanobeams made of functionally graded materials (FGMs) …

[HTML][HTML] A free vibration analysis of three-dimensional sandwich beams using hierarchical one-dimensional finite elements

Y Hui, G Giunta, S Belouettar, Q Huang, H Hu… - Composites Part B …, 2017 - Elsevier
This paper presents a family of beam higher-orders finite elements based on a hierarchical
one-dimensional unified formulation for a free vibration analysis of three-dimensional …

Refined shear deformation theories for laminated composite arches and beams with variable thickness: Natural frequency analysis

F Tornabene, N Fantuzzi, M Bacciocchi - Engineering Analysis with …, 2019 - Elsevier
A higher-order mathematical formulation with applications is presented in this paper for the
free vibration analysis of arches and beams made of composite materials. Higher-order …

Hierarchical beam finite elements for geometrically nonlinear analysis coupled with asymptotic numerical method

Y Hui, Q Huang, G De Pietro, G Giunta… - Mechanics of …, 2021 - Taylor & Francis
This paper couples the Carrera's Unified Formulation (CUF) with the Asymptotic Numerical
Method (ANM) for investigating geometrically nonlinear behaviors of beam structures. On …

A micromechanics approach for effective elastic properties of nano-composites with energetic surfaces/interfaces

Y Koutsawa, S Tiem, W Yu, F Addiego, G Giunta - Composite Structures, 2017 - Elsevier
The mechanics of structure genome is generalized to model nanocomposites taking into
account the surfaces/interfaces stress effect at nano-scale. This full field micromechanics …