Finite elemen model for the structural behaviours of bi-directional (2D) FG porous microbeams based on a quasi-3D theory and modified strain gradient (MSGT) is presented. As main novelty this study, in order to capture accurately size effects, MSGT employed with three material length scale parameters (MLSPs) rather than modifed couple stress (MCST) only one MLSP. The properties including MLSPs ...

The influence of surface stress and small scale on the dynamic pull-in behavior of nano-bridges is investigated in this paper. For this purpose, the governing equation of motion is derived based on the modified couple stress theory and Homotopy Perturbation Method with an auxiliary term is employed to produce the approximate solution of nano-beam vibrations. The effects of actuation voltage, in...

In this study, the free vibration analysis of a functionally graded (FG) micro-beam with tapered cross-section is carried out theoretically. The beam has material distribution according to power law throughout thickness. governing equation reduced an ordinary differential for cross-sectional geometry whose width varies exponentially. Vibrations microbeams were analyzed analytically in elastic v...

In this paper, the snap-through buckling of an initially curved microbeam subject to an electrostatic force, accounting for fringing field effect, is investigated. The general governing equations of the curved microbeam are developed using Euler-Bernoulli beam theory and used to develop a new criterion for the snap-through buckling of that beam. The size effect of the microbeam is accounted for...

Several models within the framework of continuum mechanics have been proposed over years to solve free vibration problem micro beams. Foremost amongst these are those based on non-local elasticity, classical couple stress, gradient elasticity and modified stress theories. Many retain basic features Bernoulli–Euler or Timoshenko–Ehrenfest theories, but they introduce one more material scale leng...

aim and background: emotion focused couple therapy is one of the methods that has focused on the negative cycles of interaction caused from deep emotional vulnerability. the purpose of this study was to determine the effect of emotionally focused couple therapy on reducing the damage caused by marital infidelity. methods and materials: the statistical sample included 30 couples that were select...

A non-classical model for transversely isotropic magneto-electro-elastic circular Kirchhoff plates is established based on the extended modified couple stress theory. The Gibbs-type variational principle used to obtain governing equations and boundary conditions. To illustrate newly derived model, static bending problem of a clamped plate subjected uniformly distributed constant load solved num...