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 …
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 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 …
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 …
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 …
Bi-directional functionally graded materials (BDFGMs) for free and forced vibration of Timoshenko beams with various boundary conditions
M Şimşek - Composite Structures, 2015 - Elsevier
This paper investigates free and forced vibration of bi-directional functionally graded (BDFG)
Timoshenko beam under the action of a moving load. The material properties of the beam …
Timoshenko beam under the action of a moving load. The material properties of the beam …
[HTML][HTML] Effects of thermal and shear deformation on vibration response of functionally graded thick composite microbeams
In this paper, thermal and shear deformation effects on the vibrational response of non-
homogeneous microbeams made of functionally graded (FG) materials are carried out. It is …
homogeneous microbeams made of functionally graded (FG) materials are carried out. It is …
Review on nonlocal continuum mechanics: physics, material applicability, and mathematics
The classical continuum mechanics assumes that a material is a composition of an infinite
number of particles each of which is a point that can only move and interact with its nearest …
number of particles each of which is a point that can only move and interact with its nearest …
Bending analysis of embedded carbon nanotubes resting on an elastic foundation using strain gradient theory
In this study, static bending response of single-walled carbon nanotubes (SWCNTs)
embedded in an elastic medium is investigated on the basis of higher-order shear …
embedded in an elastic medium is investigated on the basis of higher-order shear …