Modeling Analysis of the Wire-Drawing Operation Using the Weighted-Residual Finite Element Method

Abstract:

Numerical analysis of a wire drawing operation to compute the stress distribution along the blank cross-section is presented. The governing equation describing the wire drawing equation is weakened using the Bubnov-Galerkin finite element method to obtain the finite element model. The blank is descritized into a mesh of C⁰ quadratic isoparametric and C⁰ cubic finite elements. Stiffness matrices for all elements are obtained using the finite element model which were subsequently assembled by enforcing continuity of the nodal stress. Boundary conditions are applied and the resulting condensed system of equation solved for unknown nodal stresses using Gauss Seidel method. The relative performance of the C⁰ quadratic and C⁰ cubic elements are assessed. Parametric analysis is carried out to show the influence of drawing parameters on the stresses generated and drawing load. The analysis was carried out using a Visual Basic.Net program developed by the authors.The results are presented in both graphical and tabular forms.

• Periodical: Advanced Materials Research (Volume 367)
• Pages: 677-684
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.367.677
• Online since: October 2011
• Authors: M.H. Oladeinde, John A. Akpobi
• Keywords: Bubnov-Galerkin, Cubic, Finite Element, Quadratic, Wire Drawing

References

[1] Y.L. Kuznetsova, O.L. Skull Skil and M.A. Sitnikova, Lubricant flow in pressure pipes during wire drawing in a hydrodynamic friction model, Journal of friction and wear 29(4) (2007) 359-363.

DOI: 10.3103/s106836660704006x

[2] Durban, D., Drawing and extrusion of composite wires and tubes, Intl Journal of Solid structures, 20 (1984) 649 – 666.

DOI: 10.1016/0020-7683(84)90022-2

[3] A. Panteghini and F. Genna, An engineering analytical approach to the design of cold wire drawing processes for strain hardening materials, International journal of metal forming, 3(4) (2010) 279-289.

DOI: 10.1007/s12289-010-0691-6

[4] M. H Oladeinde and J. A Akpobi, Numerical analysis of cold tube drawing operation using finite element method, to appear in International Journal of Engineering Research in Africa, vol 5, June 2011, 44 – 52.

DOI: 10.4028/www.scientific.net/jera.5.44

[5] X. Peng, M.D. Sumpton and E.W. Collins, Finite element analysis of drawing of multifilamentary wires, IEEE transactions, 15(2) (2005) 3426 – 3429.

DOI: 10.1109/tasc.2005.848955

[6] P.J. McAllen and P. Phelan, Numerical analysis of asymmetric wire drawing by means of a damaged coupled model, Journal of Materials Processing Technology, 183( 2-3), (2007) 210 – 218.

DOI: 10.1016/j.jmatprotec.2006.10.014

[7] H. Valberg, E. Doege, A. Kroff and A. Rzepka, Analysis of the influence of back pull during drawing of Aluminum wires, International journal of materials and product technology, 15(6) (2000)518 – 534.

DOI: 10.1504/ijmpt.2000.001262

[8] Phelan, P., Brandon, J. and Hillery, M., Central burst analysis of the wire drawing process using accumulated damage Parameter, Journal of Mechanical Engineering Science, vol 215, no 11, 1313 – 1319, (2001).

DOI: 10.1243/0954406011524694

[9] M. Hayashi, M. Jin, S. Thipprakmas, M. Murakawa, J-C. Hung, Y-C. Tsai and C-H. Hung, Simulation of ultrasonic –vibration drawing using the finite element method, Journal of materials processing Technology, 140 (2003) 30-35.

DOI: 10.1016/s0924-0136(03)00699-x

[10] F. Paulo, J.C. Pimenta, J.C., and A. Jorge, Journal Bearings Subjected to Dynamic loads: The Analytical Mobility Method", Mecanica Experimental, Vol. 13, (2006), 115 – 127.