Analysis of Direct Extrusion Operation Using The Bubnov-Galerkin Finite Element Model

Abstract

This paper reports the analysis of direct extrusion operation using the Bubnov-Galerkin finite element model to get the pressure distributions along the cross-section of a blank. Four Lagrange quadratic elements were assembled to represent the blank. The governing equation is a one dimensional differential equation describing the pressure on the die-blank interface. The weighted residual form was obtained from the differential equation, the finite element model was obtained in a matrix form from the weighted residual, boundary condition were now applied to obtain the pressure distribution across the cross-section of the blank. Finite element results were obtained for a particular values of coefficient of friction and blank diameter and compared with the exact solution on a graph.

Keywords: Direct extrusion operation, Bubnov-Galerkin residual scheme, finite element model, Lagrange quadratic element

Journal of the Nigerian Association of Mathematical Physics, Volume 20 (March, 2012), pp 435 – 442