Regional Smooth Radial Point Interpolation Method for Upper Limit Analysis of Flat Plate Structures

One of the tasks of the upper limit analysis of plate structures is to accurately evaluate the yield and failure mechanisms of materials, especially when the load and geometric conditions are complex. In this paper, the regional smooth radial point interpolation method (SRPIM) is used to improve the accuracy of the yield limit analysis. Using the regional smooth radial function, the displacement field of the plate is first constructed by point interpolation. Secondly, the limit analysis theory is proposed and combined with the optimization algorithm to solve the ultimate bearing capacity of the structure under different load conditions. Finally, numerical simulations are carried out to test the influence of different material parameters and geometric shapes on the ultimate bearing capacity. Using the SRPIM method, the simulated value of the ultimate bearing capacity is close to the actual value, with a difference of 101N under a load of 500N. SRPIM has been clearly verified to improve the prediction effect of the upper limit analysis of plate structures and has great application prospects in future applications.