Abstract
This paper presents an application of the finite volume method to ideal plastic metal flow in extrusion technology. Governing equations for the mass and momentum balance are used in an integral form. Solution domains in the cases considered are discretized with a Cartesian numerical mesh with computational points placed at the center of each control volume. After discretization of the governing equations, the resulting system of nonlinear algebraic equations is solved by an iterative procedure, using a segregated algorithm approach. Resulting stress fields are obtained from the Levy-Mises equations. The experimental results and numerical calculations are in good agreement.
Highlights
Extrusion processes in the metal forming by plastic deformation belong to the widespread production technology
The finite volume method can be successfully applied in the analysis of plastic flow of metals in metal forming technologies
The method was used for the analysis of the flow of ideally plastic material and the orthogonal geometry of tooling
Summary
Extrusion processes in the metal forming by plastic deformation belong to the widespread production technology. Demirdžić et al [6, 7] proposed the first application of the cell-centered finite volume method, in its modern form, to solid mechanics This original method was applied to the simulation of thermal deformations in welded workpieces on a 2-D structured quadrilateral grid. Small strains and rotations were assumed and the material behavior was described by the so called Duhamel-Neumann form of Hooke’s law [6] This cell-centered approach takes its name from the dependent variable, in this case velocities, residing at the cell centers (control volume centroids). The cold extrusion processes, which are considered in this paper, assuming a quasi-stationary (steadystate) flow, are solved according to this theory and must satisfy the following basic conservation equations: Mass balance equation (continuity equation) [7]:. T is the time, ρ is the density, uj is the velocity vector, σij is the stress tensor and fbi is the resultant body force
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
