Three-dimensional analysis and computer simulation of shape rolling by the finite and slab element method

Three-dimensional analysis of shape rolling using a generalized upper bound approach

“…Osakada (1991, 1993) developed a rigid-plastic 3D FEM to simulate steadystate deformation in shape rolling with grooved rolls. Kim et al (1991) combined the two-dimensional rigid-plastic finite element method with the slab method to reduce the amount of computation without losing accuracy. Saito et al (1984) proposed an upper bound method that was capable of predicting lateral spread, elongation and thickness in flat, concave (diamond) and convex (box) passes.…”

A new model for thermo-mechanical coupled analysis of hot rolling

“…They can be classified as analytical method [2,3] and numerical solution [4][5][6][7][8][9]. Kobayashi [2] and KATO [3] proposed widely used stream function velocity field and weighted velocity field separately.…”

“…Kobayashi gave a numerical solution with Ritz approximation [4]. Scholars [5][6][7][8] widely used the finite element method to simulate two-or three-dimensional metal flow. However, its application would require consumption of excessive computation time and memory, and only discrete numerical solution can be obtained.…”

A new shape change quantification method for estimation of power in shape rolling

“…Since then, several other researchers have used two-or three-dimensional finite element models. Kim et al [10] introduced a combined finite slab element to analyze shape rolling and TASK, a computer program, was developed based on their approach. In Ref.…”