FINITE ELEMENT ELASTO-PLASTIC ANALYSIS OF PLATE BENDING USING LAYERED HIGHER ORDER SHEAR DEFORMATION THEORY

摘要

In the present work a layered model based on Higher Order Shear Deformation Theory has been successfully applied for Elasto-Plastic analysis of plate bending. In this layered model, spread of plastic zones with respect to the loads in the cross-section of the plate can be determined. Incremental Finite Element formulation is used for the development of the present model. In finite element formulation 9-noded Heterosis element with the provision of Selective Integration and Reduced Integration have been used. Modified Newton-Raphson method has been used to solve the non-linear equations. Von-Mises and Tresca yield criteria have been applied for yielding of the materials along with the associated flow rule. The material is considered to be free from Bauschinger effect by assuming the isotropic hardening. A computer program has been developed and a number of plate-bending problems have been solved. The results have been compared with existing benchmark solutions. Comparisons clearly indicate the good performance of the theory in non-linear analysis also.