Numerical analysis of elasto-plastic bending of layered Mindlin plates

In this paper, a cell centered finite volume formulation for analyzing the problem of elasto-plastic bending of a rectangular plate is proposed. A layered approach is adopted where the plate is subdivided into a chosen number of layers. Therefore, it is possible to monitor the plasticity evolution through the plate thickness along with the spread of the plastic phenomena on the plate surface. The Mindlin-Reissner plate theory is utilized and the solution is obtained by applying an incremental loading procedure.For evaluation purposes the proposed method is applied for the analysis of plate with three types of boundary conditions. It is found that the results obtained are in good agreement with the reference results obtained by using other numerical methods

Keywords:

elasto-plastic bending , Mindlin plate , Finite volume , Layered approach