Abstract: In this article, a numerical solution methodology is presented to study the postbuckling configurations and free vibrations of Timoshenko beams undergoing postbuckling. The effect of geometrical imperfection is taken into ...

Abstract: Based on Mindlin's strain gradient elasticity and firstorder shear deformation plate theory, a sizedependent quadrilateral plate element is developed in this paper to study the nonlinear static bending of microplates. In ...

Abstract: Based on the micropolar elasticity theory, a size-dependent rectangular element is proposed in this article to investigate the nonlinear mechanical behavior of plates. To this end, a novel three-dimensional formulation for ...