A review of size-dependent continuum mechanics models for micro-and nano-structures
Recently, the mechanical behavior of micro-/nano-structures has sparked an ongoing
debate, which leads to a fundamental question: what steps can be taken to investigate the …
debate, which leads to a fundamental question: what steps can be taken to investigate the …
A comprehensive review on the vibration analyses of small-scaled plate-based structures by utilizing the nonclassical continuum elasticity theories
In recent years, mechanical characteristics including vibration, bending, buckling and
postbuckling, stability and instability, etc. of small-scaled structures (such as …
postbuckling, stability and instability, etc. of small-scaled structures (such as …
Buckling analysis of functionally graded tapered microbeams via Rayleigh–Ritz method
In the present study, the buckling problem of nonhomogeneous microbeams with a variable
cross-section is analyzed. The microcolumn considered in this study is made of functionally …
cross-section is analyzed. The microcolumn considered in this study is made of functionally …
[HTML][HTML] Porosity-dependent nonlinear transient responses of functionally graded nanoplates using isogeometric analysis
The study using numerical methods on porous functionally graded (FG) nanoplates is still
somewhat limited. This paper focuses on porosity-dependent nonlinear transient analysis of …
somewhat limited. This paper focuses on porosity-dependent nonlinear transient analysis of …
[HTML][HTML] Bending and free vibration analysis of Levy-type porous functionally graded plate using state space approach
This paper aims to investigate the free vibration and bending characteristics of porous
functionally graded (FG) plate with two opposite simply supported edges based on a four …
functionally graded (FG) plate with two opposite simply supported edges based on a four …
[HTML][HTML] Dynamics of two-dimensional functionally graded tapered Timoshenko nanobeam in thermal environment using nonlocal strain gradient theory
In this contribution, we study the free vibration of non-uniform nano-size beams in thermal
environment. In order to capture the size-dependent effects, we adopt nonlocal strain …
environment. In order to capture the size-dependent effects, we adopt nonlocal strain …
[HTML][HTML] Effect of porosity on free and forced vibration characteristics of the GPL reinforcement composite nanostructures
This article investigates the influence of porosity on free and forced vibration characteristics
of a nanoshell reinforced by graphene platelets (GPL). The material properties of piece-wise …
of a nanoshell reinforced by graphene platelets (GPL). The material properties of piece-wise …
[HTML][HTML] Size dependent free vibration analysis of multilayer functionally graded GPLRC microplates based on modified strain gradient theory
In this study, for the first time, a size dependent computational model based on the modified
strain gradient theory (MSGT) and higher-order shear deformation theory (HSDT) for free …
strain gradient theory (MSGT) and higher-order shear deformation theory (HSDT) for free …
[HTML][HTML] Bi-directional functionally graded beams: asymmetric modes and nonlinear free vibration
Y Tang, X Lv, T Yang - Composites Part B: Engineering, 2019 - Elsevier
In the paper, a novel model of Euler–Bernoulli beams made of bi-directional (2D)
functionally graded materials (FGMs) is presented to study the nonlinear free vibration. We …
functionally graded materials (FGMs) is presented to study the nonlinear free vibration. We …
Free vibrations of elastic beams by modified nonlocal strain gradient theory
Size-dependent axial and flexural free vibrations of Bernoulli–Euler nano-beams are
investigated by the modified nonlocal strain gradient elasticity model presented in (Barretta …
investigated by the modified nonlocal strain gradient elasticity model presented in (Barretta …