Peridynamics for geometrically nonlinear analysis of three-dimensional beam structures

•A novel peridynamic model for geometrically nonlinear analysis of three-dimensional beam structures is developed.•Nonlinear peridynamic equations of motion for beams are derived by using the Total Lagrange formulations.•A novel numerical procedure for geometrically nonlinear analysis of beam structures is provided.•The capability of the peridynamic model is demonstrated by considering large deformations of different beams.•Damages on a dry spaghetti subjected to different loading conditions are simulated. This study presents a novel peridynamic model for geometrically nonlinear analysis of three-dimensional beam structures. The formulations of nonlinear strain energy densities for a beam is obtained by using Total Lagrange formulation. The peridynamic formulations for beam structures are obtained based on the principle of virtual displacements. The capability of the proposed peridynamic model is demonstrated by considering large deformations of straight beams and curved beams subjected to different loading conditions. To further demonstrate the capabilities of the proposed nonlinear model, damages on a dry spaghetti subjected to different loading conditions are simulated.