Analysis of Axisymmetric Forging Operation Using the Bubnov-Galerkin Weighted Residual Finite Element Method

Abstract

This paper reports on the analysis of axisymmetric forging operation using the Bubnov-Galerkin weighted residual finite element model to get the stresses and pressure fields set up at various cross-sections of a material during forging operation. The governing equation is a one dimensional differential equation which describes the pressures and stresses exerted on a forging. In conducting the analysis, we split the blank into a finite number of elements and apply the Bubnov-Galerkin, weighted residual scheme to obtain the weighted integral form. Four Lagrange quadratic elements were assembled to represent the blank. Using a numerical example, we show that the weighted residual finite element method is capable of accurately  predicting the pressures and stresses in an axisymmetric forging operation.

Key words: Buba Ox-Galerkin Weighted Residual, Axisymmetric Operation, Finite Element Method, Lagrange, Quadratics.