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  • Materials & Fracture · Solids & Structures · Dynamics & Control · Production & Design
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Effect of roll gap change of oval pass on interfacial slip of workpiece and roll pressure in round-oval-round pass rolling sequence

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  • 7 Citations


This paper presents a study of the effect of varying the roll gap of oval pass in round-oval-round pass sequence on the interfacial slip of workpiece, entrance and exit velocities, stresses and roll load that the workpiece experiences during rolling, by applying analytical method, finite element simulation and verification through hot bar rolling tests. The results have shown that the roll gap variation of oval pass affects the interfacial slip of workpiece along the groove contact and the specific roll pressure. The optimum conditions in terms of minimum interfacial slip and minimum specific roll pressure, which might influence the maximum groove life, is obtained when the subsequent round pass is completely filled.

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a r :

Torque arm ratio

A e :

Profile cross sectional area

A s :

Projected area of roll contact

2b :

Profile central width

b s :

Width of contact at exit

c :

Slip coefficient

e :

Centroid height of half exit sectional area

2g :

Oval pass roll gap

2h :

Profile central height

h s :

Height of contact at exit

L :

Length of roll contact

m :

Friction factor

q :

Stress coefficient

p :

Surface pressure

p s :

Specific roll pressure

P :

Roll load

r g :

Groove radius

r n :

Neutral roll radius

r s :

Profile side radius

2r c :

Rolls center distance

2r i :

Roll inner diameter

2r o :

Roll outer diameter

s i :

Slip at roll inner diameter

T :

Rolling torque

v e :

Workpiece exit velocity

\(\bar \varepsilon \) :

effective strain

v i :

Workpiece velocity at inner roll radius

v o :

Workpiece entry velocity

\(\dot \bar \varepsilon \) :

Effective strain rate

\(\bar \sigma \) :

Flow stress


Roll angular velocity


Coefficient of friction

σ θ :

Tangential stress


Shear traction


  1. Arnold, R. R. and Whitton, P. W., 1975, “Spread and Roll Force in Rod Rolling,”Metals Technology, Vol. 2, pp. 143–149.

  2. Bayoumi, L. S., 1998, “Flow and Stresses in Round-Oval-Round Roll Pass Sequence,”Int. J. Mech. Sci., Vol. 40, pp. 1223–1234.

  3. Kim, H. J., Kim, T. H. and Hwang, S. M., 2000, “A New Free Surface Scheme for Analysis of Plastic Deformation in Shape Rolling,”J. Mater. Proc. Tech. Vol. 24 pp. 81–93.

  4. Komori, K., 1997, “Simulation of Deformation and Temperature in Multi-Pass Caliber Rolling,”J. Mater. Proc. Tech., Vol. 71, pp. 329–336.

  5. Lundberg, S. E., 1993, “A New High-Temperature Test Rig for Optimization of Materials for Hot-Rolling Rolls,”J. Mater. Proc. Tech., Vol. 36, pp. 273–301

  6. Magnus, J., 1988, “Friction and Forward Slip in Hot Rolling,”Scan. J. Metall., Vol. 17, pp. 2–7.

  7. Park, J. J. and Oh, S. I., 1990, “Application of Three Dimensional Finite Element Analysis to Shape Rolling Process,”J. Eng. Ind., Vol. 112, pp. 36–46.

  8. Shida, S., 1969, “Empirical Formula of Flow Stress of Carbon Steels-Resistance to Deformation of Carbon Steels at Elevated Temperature,” 2nd Report (in Japanese),J. JSTP, Vol. 10, pp. 610–617.

  9. Shin, W., Lee, S. M., Shivpuri, R. and Altan, T., 1992, “Finite-Slab Element Investigation of Square-to-Round Multi-Pass Shape Rolling,”J. Mater. Proc. Tech., Vol. 33, pp. 141–154.

  10. Tselikov, A., Nikitin, G. S. and Rokotyan, S. E., 1981,The Theory of Lengthwise Rolling, Mir Publisher, Moscow, pp. 133–139.

  11. Wusatowski, Z., 1969, “Fundamentals of Rolling,” Pergamon Press, Katowice, pp. 619–624.

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Correspondence to Youngseog Lee.

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Bayoumi, L.S., Lee, Y. & Kim, H.J. Effect of roll gap change of oval pass on interfacial slip of workpiece and roll pressure in round-oval-round pass rolling sequence. KSME International Journal 16, 492–500 (2002). https://doi.org/10.1007/BF03185079

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Key Words

  • Rod Rolling
  • Analytical Solution
  • Interfacial Slip
  • Roll Pressure