| Abstract: | The analysis of plane strain extrusion through wedge shaped dies is based in a general kinematically admissible velocity field coupled with the method of weighted residuals. The expressions of velocity and strain rate are derived analytically and the resulting fields for several extrusion ratios are obtained by minimizing the upper bound power with respect to free parameters introduced in the inlet and outlet boundaries. The stresses are calculated from a stress function, using the strain rate field and the boundary conditions, by the least squares method.The results are compared with the complete solution obtained by the slip line field.The technique is shown to give satisfactory results and can be applied to more complex metalforming processes, as it requires only modest computing time and resources. |
