RT Journal Article T1 Theories and analysis of functionally graded beams A1 Reddy, Junuthula Narasimha A1 Ruocco, Eugenio A1 Loya Lorenzo, José Antonio A1 Neves, Ana M.A. AB This is a review paper containing the governing equations and analytical solutions of the classical and shear deformation theories of functionally graded straight beams. The classical, first-order, and third-order shear deformation theories account for through-thickness variation of two-constituent functionally graded material, modified couple stress (i.e., strain gradient), and the von Karman nonlinearity. Analytical solutions for bending of the linear theories, some of which are not readily available in the literature, are included to show the influence of the material variation, boundary conditions, and loads. PB MDPI SN 2076-3417 YR 2021 FD 2021-08-01 LK https://hdl.handle.net/10016/35399 UL https://hdl.handle.net/10016/35399 LA eng DS e-Archivo RD 1 sept. 2024