We address the numerical simulation of periodic solids (phononic crystals) within framework couple stress elasticity. The additional terms in elastic potential energy lead to dispersive behavior shear waves, even absence material periodicity. To study bulk waves these materials, we establish an action principle frequency domain and present a finite element formulation for wave propagation probl...

In this article, the influence of hydrostatic stress and gravity on a clamped- free non homogeneous magneto electro elastic plate of polygonal cross sections is studied using linear theory of elasticity. The equations of motion based on two-dimensional theory of elasticity are applied under the plane strain assumption of prestressed and gravitated magneto electro elastic plate of polygonal cros...

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...

This paper presents mechanical behavior of a functionally graded (FG) cantilever micro-beam subjected to a nonlinear electrostatic pressure and thermal moment considering effects of material length scale parameters. Material properties through the beam thickness direction are graded. The top surface of the micro-beam is made of pure metal and the bottom surface from a mixture of metal and ceram...

Abstract The thermal instability of a couple-stress Rivlin-Ericksen ferromagnetic fluid with varying gravity field, suspended particles, rotation and magnetic field flowing through porous medium is investigated. dispersion relation has been developed solved analytically using the normal mode approach linear stability theory. effect rotation, couple stress, permeability on layer For stationary c...

Abstract Vibration analysis of functionally graded (FG) microbeams carrying a moving mass is carried out in the framework Timoshenko beam theory. The material properties are considered to be thickness by power-law function, and they estimated Mori-Tanaka scheme. influence microsize effect captured with aid modified couple stress theory (MCST). A finite element formulated used establish discreti...