Elasto-Plastic Analysis of Axisymmetrically Loaded Circular Plates Using Green's Functions

摘要

A boundary integral formulation for the analysis of circular plate bending under lateral loads is developed using Green's functions. The formulation specifically applies to annular plates with arbitrary boundary conditions. The plate bending solution in the plastic range is determined using a numerical method of incremental loading. A computer program to perform the required calculations was developed and is presented. Results for three case studies are included and compared with results obtained by other methods. Plate behavior in the elastic range is in excellent agreement with other analytical solutions, and in the plastic range is in reasonable agreement with published results obtained using a finite element method.