Free vibration, Buckling and Bending investigation of bidirectional FG curved sandwich beams

The present work is focused on the bending, buckling and free vibration analysis of BDFG (bidirectional functionally graded) sandwich beams using a quasi-3D analytical solution. The present formulation is based on a displacement field that includes indeterminate terms and involves a few variables to define. The BDFG beam consists of functionally graded (FG) skins at the bottom and top with isotopic core in the middle. The materials characteristics of the skins are continuously distributed through the thickness and the length of the beam based on a specified power law. The governing equations of the simply supported curved beam are derived using the principal of virtual works and are then solved utilizing the Navier solution. The exactness of the proposed formulation is assessed by checking their numerical results with other of reliable publications available in the literature. A detailed numerical study is presented in order to investigate the impact of several parameters such grading indexes, radius of curvature, sandwich type, BDFG beam geometry and other setting on the buckling, bending and free vibration of curved BDFG beam.