In this paper, the acoustic wave motion characteristics of Lamb and SH waves in functionally graded (FG) anisotropic micro/nano-plates are studied based on modified couple stress theory. A higher efficient computational approach, extended Legendre orthogonal polynomial method (LOPM) is utilized to deduce solving process. This does not need solve FG hierarchically, which provides a more realisti...

In this paper, a Green’s function is developed for bending analysis of micro plates under an asymmetric load. In order to consider the length scale effect, the modified couple stress theory is used. This theory can accurately predict the behavior of micro structures. A thin micro plate is considered and therefore the classical plate theory is utilized. The size dependent governing equilibrium e...

In this article, the influence of important parameters on size-dependent thermoelastic behavior functionally graded magneto-electro-thermo-elastic microcylinders (FGMEE) is studied by means modified stress couple theory and under combined mechanical-thermal-magnetic loads. The equations motion were derived considering linear shells first-order nonlocal shear deformation shells. following, resul...

The present paper aims at evaluating non-classical continuum parameters for each class of armchair and zigzag single-walled CNTs focusing on the scale effect in their flexural behavior observed molecular dynamics (MD) simulations. Through a non-linear optimization approach, bending rigidities obtained from atomistic simulations are compared to those derived continua. For MD simulations, novel m...

Based on a non classical plate theory, an analytical model is proposed for the first time to analyze free vibration problem of partially cracked thin isotropic submerged plate in the presence of thermal environment. The governing equation for the cracked plate is derived using the Kirchhoff’s thin plate theory and the modified couple stress theory. The crack terms are formulated using simplifie...

Free vibration of an axially loaded silicon microbeam in MEMS under electrostatic actuation is studied on the basis a sinusoidal shear deformation theory. Based modified couple stress theory (MCST) and von Kármán geometric nonlinearity, nonlinear finite element formulation derived employed to construct discrete governing equations for microbeam. The deflection at given DC voltage firstly calcul...

Several beam and plate models have been recently developed in the literature to accommodate for size-dependence. These are usually obtained starting from a generalized continuum theory (such as couple-stress, strain-gradient or non-local their modifications) then deducing governing equations through Hamilton’s principle ingenuous kinematical assumptions. This approach, originated by Kirchhoff, ...