Abstract—The paper reports on an investigation into the various aspects of high speed open die forging of Cu metal powder preforms, which have been compacted and sintered from atomized Cu metal powder. An attempt has been made for the determination of the relative average die pressure developed for given geometries of the disc during the open die forging of sintered metal powder preform by using an upper bound approach. The deformation characteristics of metal powder preform has been demonstrated by applying an appropriate interfacial friction law and yield criteria. The results so obtained are discussed critically to illustrate the interaction of various process parameters involved and are presented graphically. The deformation pattern is influenced by many factors which interact with each other,the main factors are the interfacial friction,initial density of the perform and the geometry of the perform. different frictional stresses are assumed on top and bottom interfaces of the die.

Index Terms—Interfacial friction, open die forging, sintered preform, upper bound method.

P. Kumar is with the Department of Mathematics BRCM CET Bahal (Bhiwani) Haryana India (e-mail: parveen_brcm@ rediffmail.com).
R. K. Ranjan is with the Department of Mechanical Engineering Gyan Ganga ITS Jabalpur (M.P.) India (e-mail: rkranjanbit@gmail.com).
R. Kumar is with the Department of Mathematics DCRUST Sonipat Haryana India (e-mail: rajeev_kansal@yahoo.com).

Cite: Parveen Kumar, R. K. Ranjan, and Rajive Kumar, "Upper Bound Analysis for Rectangular Shaped Sintered Metal Powder Preform Considering Homogeneous Pattern of Deformation," International Journal of Applied Physics and Mathematics  vol. 2, no. 6, pp. 399-404, 2012.