Autor of Drawing2d program:

A.Milenin

 

Publications:

Program describe:

Milenin A. Program komputerowy Drawing2d – narzędzie do analizy procesów technologicznych ciągnienia wielostopniowego // Hutnik, No 2, 2005. - s. 100-104.

 

Application of program Drawind2d to wire technology:

A.Milenin, H.Dyja, Z.Muskalski, J.Pilarzyk 3-D FEM analysis of roller die and hydrodynamic drawing of high carbon steel wires // Wire Journal Int., 2005, #12, P. 54-59.

Muskalski Z., Milenin A., Pilarczyk J. Comparing hydrodynamic and conventional wire drawing // Wire Industry, # 10, 2005, P. 331-335.

Z. Muskalski, A. Milenin Theoretical and experimental analysis the drawing process with change of drawing direction, Proc. Conf. WireExpo 2006, USA, The Wire Assoc. Int. (2006) 5-10.

Bach Fr.-W., Milenin A., Kucharski R., Borman D., Kustra P. Modelowanie za pomocą MES procesu ciągnienia drutów ze stopu magnezu wykorzystywanych w chirurgii // Hutnik, Nr 1-2, (2007), s. 8-11.

A.Milenin, Z.Muskalski, S.Wiewiórowska Modelowanie za pomocą MES rozwoju mikrostruktury w procesie ciągnienia drutów ze stali perlitycznej // Hutnik, Nr 1-2, (2007), s. 70-75.

Z.Muskalski, A.Milenin, S.Wiewiórowska, T.Bajor, S.Sosna Wpływ prędkości ciągnienia na rozkład temperatury i odkształcenie postaciowe w drutach ze stali wysokowęglowej // Hutnik, Nr 1-2, (2007), s. 75-78.

Pikos B., Michalczyk J., Kranc J., Milenin A., Pilarczyk J.W. Wpływ kształtu części roboczej i kalibrującej ciągadła na silę ciągnienia oraz własności mechaniczne drutów okrągłych // Hutnik, Nr 1-2, (2007), s. 78-81.

A. Milenin, Z. Muskalski, S. Wiewiórowska, P. KUSTRA The multi-scale FEM simulation of the drawing processes of high carbon steel / // Journal of Achievements in Materials and Manufacturing Engineering ; ISSN 1734-8412. — 2007 vol. 23 iss. 2 s. 71–74. — Bibliogr. s. 74, Abstr.

A.Milenin, B.P.Gautham, S.Goyal, J.W. Pilarczyk, Z.Muskalski The FEM simulation of wire fracture phenomena during multi-pass drawing// 2007 Conference Proceedings of The Wire Association International, Inc.Wire & Cable Technical Symposium 77th Annual Convention Cleveland, Ohio, USA May 2007, p. 236-246.

A. Milenin, Z. Muskalski The FEM simulation of cementite lamellas deformation in pearlitic colony during drawing of high carbon steel / // W: NUMIFORM '07 : materials processing and design : modeling, simulation and applications : proceedings of the 9th international conference on NUMerical methods in Industrial FORMing processes : Porto, Portugal, 17–21 June, 2007, Pt. 2 / eds. J. M. A. César de Sá, Abel D. Santos ; American Institute of Physics. — Melville ; New York : AIP, 2007. — (AIP Conference Proceedings ; ISSN 0094-243X ; vol. 908). — Opis częśc. wg okł. — ISBN 978-0-7354-0415-1. — S. 1375–1380. — Bibliogr. s. 1380, Abstr.

A. Milenin, Z. Muskalski, P. Kustra The multi-scale FEM simulation of wire fracture during drawing of perlitic steel // Materials Science Forum Vols. 575-578 (2008) pp 1433-1438

A. Milenin, P. Kustra Opracowanie parametrów procesu ciągnienia drutów ze stopu magnezu w podgrzewanych ciągadłach za pomocą modelowania numerycznego — Work up parameters for magnesium alloy drawing process in hot die with numerical analysis / // W: KomPlasTech 2008 : informatyka w technologii metali : materiały XV konferencji : Korbielów, 6–9 stycznia 2008 / eds. F. Grosman, M. Hyrcza-Michalska. — Kraków : Wydawnictwo Naukowe Akapit, 2008. — ISBN 978-83-60958-06-3. — S. 27–34. — Bibliogr. s. 33–34, Abstr., Streszcz

 

The FEM model of drawing processes

Theoretical analysis of drawing process was performed with a help of the Drawing 2d software [7], which has been elaborated especially for the solution of the drawing problem. In this FEM model a boundary problem has been solved considering other phenomena: plastic deformation, heat transfer, wire heating due to deformation and friction. In the model, the strain tensor distribution obtained in previous pass is transferred to the next one. A change of the drawing direction is also possible in the elaborated software.

For obtaining the solution of the boundary problem, the variation principle of rigid-plastic theory is used:

 

,               (1)

 

where:  - yield stress,  - the intensity of strain rate, V volume,  - mean stress,  - volumetric strain rate; F - the metal contact area with the die,  - the stress of the friction,  - the metal slip velocity along the surface of the die.

The components of the deformation tensor  are calculated through integration of each component of the strain rate tensor along the flow line:

 

,                                  (2)

 

where:  - the current time increment,  - the values of the components of the strain rate tensor determined according to the follow equation:

 

,                                                  (3)

 

where: N - the finite element shape functions,  - the nodal values of the components of the strain rate tensor for the current finite element, nnd – the number of nodes in element.

A determination of the next points of the flow line based on the calculation of the components of metal velocity for current point k according to the follow equation:

 

,                                                    (4)

 

and the integration of coordinates:

 

.                                               (5)

 

In that way the flow lines are estimated, which give the possibility to make easy the visual analysis of the deformation states during the drawing processes.

The general algorithm of model is shown above.

 

Possibilities of Drawing2d software

- In every point in a deformation zone in a process of drawing steel in a conical die digital values of temperature, strain, strain rate and stress state can be immediately found.

- A strain distribution on a cross section of a wire is transferred to the next pass; it allows that a difference in the hardening on the cross section of drawn wire is taken into account in a  process simulation.

- Program offers a possibility of an investigation of an influence of a change of a direction of drawing on mentioned in item 1 process parameters.

- Distortions of a rectangular mesh are visualized in every pass and locating any node exact values of coordinates of x and y and tangential strain are obtained.

- Force  of draw and draw stress in every pass can be calculated and immediately visualized graphically in histograms form.

- Input parameters are as follows:

  • initial and final diameter with an option of optimizing of intermediate diameters;
  • number of passes and a friction coefficient;
  • die angle, length of conical and bearing part;
  • draw speed and initial temperature of a wire.

- Data library is available for tens steel and nonferrous materials grades.

- Extremely short time of a whole calculation – in the case of six passes drawing of a high carbon steel wires simulation presented in this work lasted only about 20 minutes on PC (Celeron 2.4).

- Shortening of a time of calculation is related with a decrease of amount of mesh nodes and new mathematical approach; simulation results of mesh distortions, draw stress and a surface temperature were verified experimentally and a good agreement has been found.

- Wire fracture prognoses.

 

Demo version

For installation You must to contact with author.

milenin@agh.edu.pl