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This paper presents the discrete element method (DEM) for the analysis and progressive failure simulation of single-layer reticular shells.It discretizes the domain with finite particles whose motions are described by Newtons second law.This approach is that no iterations to follow nonlinear laws are necessary,which is especially advantageous in the analysis of large deformation and simulation of structural collapse.The elastic-plastic contact constitutive model is firstly derived and then the internal force yielding interaction surface equation is adopted.By increasing the peak ground accelerations of seismic waves gradually,the single-layer reticulated shells were carried out until the structure collapsed.Therefore by comparing the failure process based on numerical simulation and shaking table test model,it was found that the simulation results are very consistent with the test failure mode.It shows that the proposed method is efficient and suitable in simulating the structural progressive collapse.