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...

Piezoelectric beams are widely used in micro-electromechanical systems. At the microscale, influence of size effect on a piezoelectric beam cannot be ignored. In this paper, higher-order elasticity theories considered to predict behaviors micro-structures and size-dependent dynamic model laminated microbeam is established. The governing equations for derived using variational principle. natural...

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...

Quasicrystals can carry, in addition to the classical phonon displacement field, a phason displacement field, which requires a generalized theory of elasticity. In this paper, the third-order strain invariants (including phason strain) of icosahedral quasicrystals are determined. They are connected with 20 independent third-order elastic constants. By means of non-linear elasticity, phason stra...

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...

In this paper, we investigate the behavior of strain gradient elasticity solutions around sharp edges body loaded by concentrated loads. We consider general Mindlin–Toupin (SGET) and several simplified models, including dilatation theory (DGET) couple stress (CST). framework a plane problem for an elastic wedge with prescribed tip displacement obtain analytical assessments field state apex. Inv...