Study on elastoplastic analysis of metal plate based on peridynamic differential operator

This study presents a methodology for the simulation of elastoplastic deformation of steel plates based on the peridynamic differential operator (PDDO). The PDDO in the 2D case is derived as the interpolation function for the establishment of the numerical shell model based on Mindlin–Reissner theory. The weak form of the kinetic equations is derived by discretizing the motion variables, and two sets of governing equations with respect to the conservation of linear momentum and angular momentum are set up. The nonlinear constitutive relation based on the Lemaitre damage model is updated by the return-mapping algorithm. The finite element analysis and the ultimate compression experiments are conducted to verify the accuracy of the proposed shell model. The result shows that the established framework of the meshfree numerical computing approach for the elastoplastic analysis of shell structures is reliable.