A review of size-dependent continuum mechanics models for micro-and nano-structures

MA Roudbari, TD Jorshari, C Lü, R Ansari… - Thin-Walled …, 2022 - Elsevier
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 …

A comprehensive review on the vibration analyses of small-scaled plate-based structures by utilizing the nonclassical continuum elasticity theories

AA Nuhu, B Safaei - Thin-Walled Structures, 2022 - Elsevier
In recent years, mechanical characteristics including vibration, bending, buckling and
postbuckling, stability and instability, etc. of small-scaled structures (such as …

A review of continuum mechanics models for size-dependent analysis of beams and plates

HT Thai, TP Vo, TK Nguyen, SE Kim - Composite Structures, 2017 - Elsevier
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 …

Size-dependent elastic properties of nanosized structural elements

RE Miller, VB Shenoy - Nanotechnology, 2000 - iopscience.iop.org
Effective stiffness properties (D) of nanosized structural elements such as plates and beams
differ from those predicted by standard continuum mechanics (D c). These differences (DD …

Vibrational modes of Timoshenko beams at small scales

XF Li, BL Wang - Applied Physics Letters, 2009 - pubs.aip.org
This letter presents a theoretical treatment of Timoshenko [S. Timoshenko, Philos. Mag. 41,
744 (1921)] beams, in which the influences of shear deformation, rotary inertia, and scale …

Nonlocal continuum-based modeling of mechanical characteristics of nanoscopic structures

H Rafii-Tabar, E Ghavanloo, SA Fazelzadeh - Physics Reports, 2016 - Elsevier
Insight into the mechanical characteristics of nanoscopic structures is of fundamental interest
and indeed poses a great challenge to the research communities around the world. These …

A review on the mechanics of nanostructures

A Farajpour, MH Ghayesh, H Farokhi - International Journal of Engineering …, 2018 - Elsevier
Understanding the mechanical behaviour of nanostructures is of great importance due to
their applications in nanodevices such as in nanomechanical resonators, nanoscale mass …

Continuum models incorporating surface energy for static and dynamic response of nanoscale beams

C Liu, R Rajapakse - IEEE Transactions on Nanotechnology, 2009 - ieeexplore.ieee.org
Nanoscale beams are commonly found in nanomechanical and nanoelectromechanical
systems (NEMS) and other nanotechnology-based devices. Surface energy has a significant …

Nonlinear non-classical microscale beams: static bending, postbuckling and free vibration

W Xia, L Wang, L Yin - International Journal of Engineering Science, 2010 - Elsevier
This paper initiates the theoretical analysis of nonlinear microbeams and investigates the
static bending, postbuckling and free vibration. The nonlinear model is conducted within the …

The size-dependent vibration analysis of micro-plates based on a modified couple stress theory

E Jomehzadeh, HR Noori, AR Saidi - Physica E: Low-dimensional Systems …, 2011 - Elsevier
A microscale vibration analysis of micro-plates is developed based on a modified couple
stress theory. The presence of the length scale parameter in this theory enables us to …