An isogeometric boundary element method (IGABEM) is developed for the analysis of two-dimensional linear and isotropic elastic bodies governed by couple stress theory. This theory simplest generalized continuum that can effectively model size effects in solids. The fundamental solutions are explicitly derived used to construct integral equations. A new equation arises obtain moments rotations i...

In this paper a third order shear deformation rectangular nanoplate with simply supported boundary conditions is developed for bending, buckling and vibration analysis. to consider the small-scale effects, modified couple stress theory, one length scale parameter, used. The bending rates dimensionless values under uniform surface traction sinusoidal load, critical force uniaxial in x direction ...

In this paper, transverse vibration analysis of rotating micro-beam is investigated based on the modified couple stress theory. The simply-supported modeled utilizing Euler-Bernoulli and Timoshenko beam theories. system around a fixed axis perpendicular to axial direction beam. For first time, displacement filed introduced as coupled field translational field. other words, mentioned rotational ...