Application of equi-potential lines method for accurate definition of the deforming zone in the upper-bound analysis of forward extrusion problems

Tabatabaei, Seyed Ahmad; Abrinia, Karen; Givi, Mohammad Kazem Besharati

doi:10.1007/s00170-014-5647-4

Cited by 7 publications

(1 citation statement)

References 15 publications

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“…From Eqs. (26), (28), and (30), ε_ xΙ þ ε_ yΙ þ ε_ zΙ ¼ 0, ε_ xΙΙ þ ε_ yΙΙ þ ε_ zΙΙ ¼ 0, and ε_ xIII þ ε_ yIII þ ε_ zIII ¼ 0, so they are kinematically admissible velocity and strain rate field [8].…”

Section: Double Parabolic Dog-bone Modelmentioning

confidence: 99%

Analysis of vertical rolling using double parabolic model and stream function velocity field

Liu

Zhang

Zhao

et al. 2015

Int J Adv Manuf Technol

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Vertical rolling has been widely used in the roughing stand of hot strip rolling to improve the precision of slab width which influences the finished product quality significantly in actual production. Double parabolic dogbone function model and corresponding velocity and strain r a t e f i e l d s a r e f i r s t l y p r o p os e d b a s e d o n t h e incompressibility condition and stream function. They are successfully applied to three-dimensional vertical rolling. Using the first variation principle of rigid-plastic material, an analytical solution of slab total power functional in vertical rolling is obtained. Then, the shape parameters and the rolling force are received by minimizing the power functional. The error of shape and power parameters is within 4 % compared with finite element method (FEM) simulation's result and less than 9.5 % compared with other models' result.

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Section: Double Parabolic Dog-bone Modelmentioning

confidence: 99%