Influence of honogenization scheme on dynamic factor of two - phase FGM beam under a moving load

Abstract

     Analysis of the influence of the homogenization scheme on the dynamic factor of the two-phase 2DFGM sandwich beam under the moving load is performed by the finite element method. The core of the beam is pure ceramic, while the two face sheets are made of bidirectional functionally graded material (2D-FGM) with the effective properties being evaluated by both Voigt and Mori-Tanaka models. Based on the refined third-order deformation beam theory, a two-node beam element with 10 degrees of freedom is formulated and used to construct the discretized equation of motion. The dynamic response of a simply supported beam is calculated with the help of the Newmark method. The result numerical results show a clear influence of the material homogenization model on the dynamic characteristics studied in detail and highlighted.