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
MH Ghayesh, A Farajpour - International Journal of Engineering Science, 2019 - Elsevier
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 free vibration of shear deformable sandwich beam with a functionally graded porous core
The nonlinear free vibration behavior of shear deformable sandwich porous beam is
investigated in this paper within the context of Timoshenko beam theory. The proposed …
investigated in this paper within the context of Timoshenko beam theory. The proposed …
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 …
Microstructure-dependent couple stress theories of functionally graded beams
JN Reddy - Journal of the Mechanics and Physics of Solids, 2011 - Elsevier
A microstructure-dependent nonlinear Euler–Bernoulli and Timoshenko beam theories
which account for through-thickness power-law variation of a two-constituent material are …
which account for through-thickness power-law variation of a two-constituent material are …
Application of Chebyshev–Ritz method for static stability and vibration analysis of nonlocal microstructure-dependent nanostructures
This research develops a nonlocal couple stress theory to investigate static stability and free
vibration characteristics of functionally graded (FG) nanobeams. The theory introduces two …
vibration characteristics of functionally graded (FG) nanobeams. The theory introduces two …
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 …