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 review of continuum mechanics models for size-dependent analysis of beams and plates
This paper presents a comprehensive review on the development of higher-order continuum
models for capturing size effects in small-scale structures. The review mainly focus on the …
models for capturing size effects in small-scale structures. The review mainly focus on the …
Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material
L Li, Y Hu - International Journal of Engineering Science, 2016 - Elsevier
Abstract Size-dependent nonlinear Euler-Bernoulli and Timoshenko beam models, which
account for the through-thickness power-law variation of two-constituent functionally graded …
account for the through-thickness power-law variation of two-constituent functionally graded …
A review on the mechanics of functionally graded nanoscale and microscale structures
This article reviews, for the first time, the mechanical behaviour of functionally graded
structures at small-scale levels. Functionally graded nanoscale and microscale structures …
structures at small-scale levels. Functionally graded nanoscale and microscale structures …
Nonlinear forced vibration analysis of functionally graded non-uniform cylindrical microbeams applying the semi-analytical solution
W Xu, G Pan, Z Moradi, N Shafiei - Composite Structures, 2021 - Elsevier
The linear and nonlinear forced vibration response of axially functionally graded (AFG)
cylindrical truncated conical and imperfect microbeam subjected to the dynamic …
cylindrical truncated conical and imperfect microbeam subjected to the dynamic …
Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory
A size-dependent inhomogeneous beam model, which accounts for the through-length
power-law variation of a two-constituent axially functionally graded (FG) material, is deduced …
power-law variation of a two-constituent axially functionally graded (FG) material, is deduced …
Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach
M Şimşek - International Journal of Engineering Science, 2016 - Elsevier
In this study, a novel size-dependent beam model is proposed for nonlinear free vibration of
a functionally graded (FG) nanobeam with immovable ends based on the nonlocal strain …
a functionally graded (FG) nanobeam with immovable ends based on the nonlocal strain …
Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory
A size-dependent sinusoidal shear deformation beam model is developed to investigate the
free vibration of nanobeams based on the nonlocal strain gradient theory. The new model …
free vibration of nanobeams based on the nonlocal strain gradient theory. The new model …
Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory
Static bending and free vibration of functionally graded (FG) microbeams are examined in
this paper based on the modified couple stress theory (MCST) and various higher order …
this paper based on the modified couple stress theory (MCST) and various higher order …
Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position
In this project, a novel unified beam formulation and a modified couple stress theory (MCST)
that considers a variable length scale parameter in conjunction with the neutral axis concept …
that considers a variable length scale parameter in conjunction with the neutral axis concept …