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Modelling of Drawing

  • Claudio R. Böer
  • Nuno M. R. S. Rebelo
  • Hans A. B. Rydstad
  • Günther Schröder
Part of the MRE Materials Research and Engineering book series (MATERIALS)

Abstract

In an attempt to reduce costs, increasing attention is being paid to the drawing of section rods from round bar in a minimum possible number of steps. However, a direct theoretical approach to this problem has been only partially attempted in the past [6.1] due to the difficulty in applying simple techniques to represent the deformation pattern even in the relatively simple section analyzed in this chapter. The analysis of the deformation process from a round bar to a square rod with different corner radii was chosen as a first step towards the study of more complicated shape drawing [6.2, 6.3].

Keywords

Flow Line Corner Radius Finite Element Approach Initial Billet Drawing Stress 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of Symbols

m

Constant shear factor at the die-workpiece interface

M

die surface area

n

geometrical parameter (2 ≤ n ≤ ∞)

sij

deviatoric stress tensors

Si

inlet cross-sectional area

So

outlet cross-sectional area

\(\left. {\begin{array}{*{20}{c}}{{v_1},{v_2},{v_3}} \\ {or} \\ {{{\dot u}_1},{{\dot u}_2},{{\dot u}_3}} \end{array}} \right\}\)

velocity field

V

volum under deformation

Δvt

tangential velocity difference

αS, αC

die angles

ε

reduction of area

\({\dot \varepsilon _{ik}}\)

strain rate components

\(\bar \sigma\)

effective stress

σf

flow stress of the material

σZ

axial drawing stress

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References Chapter 6

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Copyright information

© Springer-Verlag Berlin, Heidelberg 1986

Authors and Affiliations

  • Claudio R. Böer
    • 1
  • Nuno M. R. S. Rebelo
    • 2
  • Hans A. B. Rydstad
    • 1
  • Günther Schröder
    • 1
  1. 1.Research CenterBBC Brown, Bovery & Company, LimitedBadenSwitzerland
  2. 2.MARC Analysis Research Corp.Palo AltoUSA

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