title: An accurate upper bound solution for plane strain extrusion through a wedge-shaped die.
abstract: An upper bound method for the process of plane strain extrusion through a wedge-shaped die is derived. A technique for constructing a kinematically admissible velocity field satisfying the exact asymptotic singular behavior of real velocity fields in the vicinity of maximum friction surfaces (the friction stress at sliding is equal to the shear yield stress on such surfaces) is described. Two specific upper bound solutions are found using the method derived. The solutions are compared to an accurate slip-line solution and it is shown that the accuracy of the new method is very high.
authors.affiliation: A. Yu. Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Prospect Vernadskogo, Moscow 119526, Russia.
authors.forename: Sergei
authors.identifier: 0000-0001-7289-0856
authors.initials: S
authors.lastname: Alexandrov
authors.affiliation: Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, 81310 Skudai, Johor Darul Ta'zim, Malaysia.
authors.forename: Yusof
authors.initials: Y
authors.lastname: Mustafa
authors.affiliation: Department of Mechanical and Electro-Mechanical Engineering, National Sun Yat-sen University, Kaohsiung 804, Taiwan.
authors.forename: Yeong-Maw
authors.identifier: 0000-0002-5169-9435
authors.initials: YM
authors.lastname: Hwang
authors.affiliation: A. Yu. Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Prospect Vernadskogo, Moscow 119526, Russia.
authors.forename: Elena
authors.initials: E
authors.lastname: Lyamina