A review on the size-dependent models of micro-beam and micro-plate based on the modified couple stress theory

S Kong - Archives of Computational Methods in Engineering, 2022 - Springer
Micro scale experiments demonstrated that the material deformation behaviors of some
metals and polymers deformed elasticity are size dependence, and the modified couple …

Using flexural MEMS to study and exploit nonlinearities: A review

S Tiwari, RN Candler - Journal of Micromechanics and …, 2019 - iopscience.iop.org
This review describes recent experimental developments in the study of nonlinearities for
flexural microelectromechanical systems (MEMS) structures. It includes motivation for …

Thermo-mechanical dynamics of perfect and imperfect Timoshenko microbeams

H Farokhi, MH Ghayesh - International Journal of Engineering Science, 2015 - Elsevier
This paper investigates the three-dimensional motion characteristics of perfect and imperfect
Timoshenko microbeams under mechanical and thermal forces; the mechanical properties …

Nonlinear mechanics of electrically actuated microplates

H Farokhi, MH Ghayesh - International Journal of Engineering Science, 2018 - Elsevier
The three-dimensional nonlinear mechanics and pull-in characteristics of a microplate-
based microelectromechanical system (MEMS) are investigated via a multi-degree freedom …

Fast identification of the pull-in voltage of a nano/micro-electromechanical system

JH He, N Qie, CH He, K Gepreel - Journal of Low Frequency …, 2022 - journals.sagepub.com
The pull-in voltage is crucial in designing an optimal nano/micro-electromechanical system
(N/MEMS). It is vital to have a simple formulation to calculate the pull-in voltage with …

Nonlinear finite element analysis of functionally graded circular plates with modified couple stress theory

JN Reddy, J Romanoff, JA Loya - European Journal of Mechanics-A/Solids, 2016 - Elsevier
Finite element models of microstructure-dependent geometrically nonlinear theories for
axisymmetric bending of circular plates, which accounts for through-thickness power-law …

A Timoshenko beam element based on the modified couple stress theory

MH Kahrobaiyan, M Asghari, MT Ahmadian - International Journal of …, 2014 - Elsevier
Since the classical continuum theory is neither able to evaluate the accurate stiffness nor
able to justify the size-dependency of micro-scale structures, the non-classical continuum …

Eringen's nonlocal theories of beams accounting for moderate rotations

JN Reddy, S El-Borgi - International Journal of Engineering Science, 2014 - Elsevier
The primary objective of this paper is two-fold:(a) to formulate the governing equations of the
Euler–Bernoulli and Timoshenko beams that account for moderate rotations (more than …

Analytical study on size-dependent static pull-in voltage of microcantilevers using the modified couple stress theory

M Baghani - International Journal of Engineering Science, 2012 - Elsevier
In this paper an analytical solution for size-dependent response of cantilever micro-beams is
presented. Using the modified couple stress theory, the small scale effects are accounted …

Bending and vibration of functionally graded sinusoidal microbeams based on the strain gradient elasticity theory

J Lei, Y He, B Zhang, Z Gan, P Zeng - International Journal of Engineering …, 2013 - Elsevier
In this paper, a novel size-dependent beam model made of functionally graded materials
(FGMs) is developed based on the strain gradient elasticity theory and sinusoidal shear …