Peridynamic formulation for higher order functionally graded beams

With the development of advanced manufacturing technologies, importance functionally graded materials is increasing due to their advantages over widely used traditional composites. In this study, a new higher order beam formulation presented by using peridynamics. Both thin and thick beams can be analysed formulation. Moreover, there no need use shear correction factor. Euler-Lagrange equations Taylor's expansion are utilised derive governing equations. Several benchmark problems studied validate newly developed considering different boundary conditions including clamped, simply supported mixed conditions. Peridynamic results compared against finite element analysis results. According comparison, peridynamic agree very well with each other.