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 …
Nonlocal theories for bending, buckling and vibration of beams
JN Reddy - International journal of engineering science, 2007 - Elsevier
Various available beam theories, including the Euler–Bernoulli, Timoshenko, Reddy, and
Levinson beam theories, are reformulated using the nonlocal differential constitutive …
Levinson beam theories, are reformulated using the nonlocal differential constitutive …
An effective analytical method for buckling solutions of a restrained FGM nonlocal beam
This work studies the size-dependent stability analysis of restrained nanobeam with
functionally graded material via nonlocal Euler–Bernoulli beam theory using the Fourier …
functionally graded material via nonlocal Euler–Bernoulli beam theory using the Fourier …
A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
A microstructure-dependent Timoshenko beam model is developed using a variational
formulation. It is based on a modified couple stress theory and Hamilton's principle. The new …
formulation. It is based on a modified couple stress theory and Hamilton's principle. The new …
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 …
[HTML][HTML] Bending of Euler–Bernoulli beams using Eringen's integral formulation: a paradox resolved
The Eringen nonlocal theory of elasticity formulated in differential form has been widely used
to address problems in which size effect cannot be disregarded in micro-and nano …
to address problems in which size effect cannot be disregarded in micro-and nano …
The computational modeling for the static analysis of axially functionally graded micro-cylindrical imperfect beam applying the computer simulation
F Hou, S Wu, Z Moradi, N Shafiei - Engineering with Computers, 2022 - Springer
In this paper, the bending and buckling analysis of microbeam with the uniform and non-
uniform cylindrical cross-section was examined based on the classical beam theory and the …
uniform cylindrical cross-section was examined based on the classical beam theory and the …
Nonlocal continuum theories of beams for the analysis of carbon nanotubes
(1972)]. The equations of motion are then used to evaluate the static bending, vibration, and
buckling responses of beams with various boundary conditions. Numerical results are …
buckling responses of beams with various boundary conditions. Numerical results are …
A nonlocal beam theory for bending, buckling, and vibration of nanobeams
HT Thai - International Journal of Engineering Science, 2012 - Elsevier
A nonlocal shear deformation beam theory is proposed for bending, buckling, and vibration
of nanobeams using the nonlocal differential constitutive relations of Eringen. The theory …
of nanobeams using the nonlocal differential constitutive relations of Eringen. The theory …