A Theory on the Mechanics of Axisymmetric Extrusion through Conical Dies
- 1 December 1968
- journal article
- research article
- Published by SAGE Publications in Journal of Mechanical Engineering Science
- Vol. 10 (5) , 367-380
- https://doi.org/10.1243/jmes_jour_1968_010_059_02
Abstract
For axisymmetric extrusion through conical dies, an admissible velocity field without discontinuities was obtained by superposition of basic flow patterns. Based on this velocity field, the upper bound to the average forming pressure and the detailed mechanics were calculated for the extrusion of a rod with a semi-cone angle of 45° and a reduction of 75 per cent in area. Three different friction conditions along the die were considered and their influence on the deformation characteristics was discussed. Flow lines, velocity components, grid distortion, strain-rate components, effective strain rate, effective strain, and stress components were plotted. A comparison of the present results with those obtained experimentally (visioplasticity) shows good agreement.Keywords
This publication has 4 references indexed in Scilit:
- Computer Application to the Visioplasticity MethodJournal of Engineering for Industry, 1967
- An upper-bound solution for axi-symmetric extrusionInternational Journal of Mechanical Sciences, 1965
- Design considerations arising from cold extrusion researchInternational Journal of Machine Tool Design and Research, 1962
- Extended limit design theorems for continuous mediaQuarterly of Applied Mathematics, 1952