The two developments in the upper-bound method are given. These are an extended treatment of the velocity field for outward flow of a cylindrical deforming region, and the introduction of a new velocity field for the flow through conical dies. The upper-bound calculation based on these velocity fields is presented in the examples of compression of a cylinder, wire-drawing, and bar-extrusion.
Upper-Bound Solutions of Axisymmetric Forming Problems—II
Department of Industrial Engineering, University of California, Berkeley, Calif.
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Kobayashi, S. (November 1, 1964). "Upper-Bound Solutions of Axisymmetric Forming Problems—II." ASME. J. Eng. Ind. November 1964; 86(4): 326–332. https://doi.org/10.1115/1.3670551
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