, Volume 54, Issue 14, pp 2247–2261 | Cite as

Upper bound analysis of wire flat rolling with experimental and FEM verifications

  • Seyed Pouria Hamidpour
  • Ali Parvizi
  • Amin Seyyed NosratiEmail author


In this paper, an upper bound analysis is developed to calculate the rolling torque in the wire flat rolling process. Streamlines are defined parametrically in the deforming region and the formulation of the admissible velocity field are developed. The internal and frictional power terms are obtained from the upper bound solution. Through the analysis, the rolling torque is obtained. Furthermore, the effects of the roll speed, wire diameter, and reduction in height on the rolling torque are studied. In addition, the experimental and numerical investigations are performed to verify the proposed theoretical model. A very good agreement is obtained between the analytical results with those from the simulation and the experiment.


Wire flat rolling Forming Upper bound Experiments FEM 



This study was funded by Iran National Science Foundation (INSF) (Grant Number 95829922).

Compliance with ethical standards

Conflict of interest

Co-Author Ali Parvizi has received research Grants from Iran National Science Foundation (INSF).


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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  • Seyed Pouria Hamidpour
    • 1
  • Ali Parvizi
    • 1
  • Amin Seyyed Nosrati
    • 1
    Email author
  1. 1.School of Mechanical Engineering, College of EngineeringUniversity of TehranTehranIran

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