0
RESEARCH PAPERS

Prediction of Brinell Hardness Distribution in Cold Formed Parts

[+] Author and Article Information
Ahmet Demir, Fazil O. Sonmez

Department of Mechanical Engineering, Bogazici University, Istanbul, Bebek, 34342, Turkey

J. Eng. Mater. Technol 126(4), 398-405 (Nov 09, 2004) (8 pages) doi:10.1115/1.1789960 History: Received July 31, 2003; Revised April 05, 2004; Online November 09, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Kim,  H., Lee,  S.-M., and Altan,  T., 1996, “Prediction of Hardness Distribution in Cold Backward Extruded Cups,” J. Mater. Process. Technol., 59, pp. 113–121.
Gouveia,  B. P. P. A., Rodrigues,  J. M. C., and Martins,  P. A. F., 1998, “Steady State Finite-Element Analysis of Cold Forward Extrusion,” J. Mater. Process. Technol., 73, pp. 281–288.
Gouveia,  B. P. P. A., Rodrigues,  J. M. C., and Martins,  P. A. F., 1998, “Finite Element Modeling of Cold Forward Extrusion and Combined Eulerian—Lagrangian Formulations,” J. Mater. Process. Technol., 80–81, pp. 647–652.
Ruminski,  M., Luksza,  J., Kusiak,  J., and Packo,  M., 1998, “Analysis of the Effect of Die Shape on the Distribution of Mechanical Properties and Strain Field in the Tube Sinking Process,” J. Mater. Process. Technol., 80–81, pp. 683–689.
Choi,  Y., Park,  J. H., Kim,  B. M., Choi,  J. C., and Min,  B. H., 2000, “Estimation of Relation between Effective Strain and Hardness by Rigid-Plastic FEM,” Metals and Materials, 6, pp. 111–116.
Tekkaya,  A. E., 2001, “Improved Relationship between Vickers Hardness and Yield Stress for Cold Formed Materials,” Steel Res., 72, pp. 304–310.
Boyer, H. E., 1987, Hardness Testing, ASM International, US.
Tabor,  D., 1996, “Indentation Hardness: Fifty Years On, A Personal View,” Philos. Mag. A, 74, pp. 1207–1212.
Timoshenko, S. and Goodier, J. N., 1951, Theory of Elasticity, McGraw–Hill.
Tabor, D., 1951, The Hardness of Metals, Clarendon Press, New York.
Tabor,  D., 1948, “A Simple Theory of Static and Dynamic Hardness,” Proc. R. Soc. London, Ser. A, 192, pp. 247–274.
Tirupataiah,  Y., and Sundararajan,  G., 1991, “On the Constraint Factor Associated With the Indentation of Work-Hardening Materials With a Spherical Ball,” Metall. Trans. A, 22A, pp. 2375–2384.
Chaudhri,  M. M., 1996, “Subsurface Plastic Strain Distribution Around Spherical Indentations in Metals,” Philos. Mag. A, 74, pp. 1213–1224.
Sinclair,  G. B., Follansbee,  P. S., and Johnson,  K. L., 1985, “Quasi-Static Normal Indentation of an Elasto-Plastic Half Space by a Rigid Sphere-II Results,” Int. J. Solids Struct., 21, pp. 865–888.
Francis,  H. A., 1976, “Phenomenological Analysis of Plastic Spherical Indentation,” Trans. ASME; J. Eng. Mater. Technol., 98, pp. 272–281.
Chen, W. F. and Han, D. J., 1988, Plasticity for Structural Engineers, Springer-Verlag, New York.
Richmond,  O., Morrison,  H. L., and Devenpeck,  M. L., 1974, “Sphere Indentation With Application to the Brinell Hardness Test,” Int. J. Mech. Sci., 16, pp. 75–82.
Follansbee,  P. S., and Sinclair,  G. B., 1984, “Quasi-Static Normal Indentation of an Elasto-Plastic Half-Space by a Rigid Sphere-I. Analysis,” Int. J. Solids Struct., 20, pp. 81–91.
Edlinger,  M. L., Gratacos,  P., Montmitonnet,  P., and Felder,  E., 1993, “Finite Element Analysis of Elastoplastic Indentation with a Deformable Indenter,” Eur. J. Mech. A/Solids, 12, pp. 679–698.
Guyot,  N., Kosior,  F., and Maurice,  G., 2000, “Numerical Study of the Brinell Hardness Test of Elastoplastic Indentation,” Z. Angew. Math. Mech., 80, pp. 555–563.
Hill,  R., Storakers,  B., and Zdunek,  A. B., 1989, “A Theoretical Study of the Brinell Hardness Test,” Proc. R. Soc. London, Ser. A, 423, pp. 301–330.
Biwa,  S., and Storakers,  B., 1995, “An Analysis of Fully Plastic Brinell Indentation,” J. Mech. Phys. Solids, 43, pp. 1303–1333.
Mesarovic,  S., and Fleck,  N. A., 1999, “Spherical Indentation of Elastic-Plastic Solids,” Proc. R. Soc. London, 455, pp. 2707–2728.
Chaudri,  M. M., 2000, “Strain Hardening around Spherical Indentations,” Phys. Status Solidi A, 182, pp. 641–652.
Matthews,  J. R., 1980, “Indentation Hardness and Hot Pressing,” Acta Metall., 28, pp. 311–318.
Taljat,  B., Zacharia,  T., and Kosel,  F., 1998, “New Analytical Procedure to Determine Stress-Strain Curve from Spherical Indentation Data,” Int. J. Solids Struct., 35, pp. 4411–4426.
Tirupataiah,  Y., and Sundararajan,  G., 1987, “A Comprehensive Analysis of the Static Indentation Process,” Mater. Sci. Eng., 91, pp. 169–180.
Nayebi,  A., El Abdi,  R., Bartier,  O., and Mauvoisin,  G., 2002, “New Procedure to Determine Steel Mechanical Properties from the Spherical Indentation Technique,” Mech. Mater., 34, pp. 243–254.
Carlsson,  S., and Larsson,  P.-L., 2001, “On the Determination of Residual Stress and Strain Fields by Sharp Indentation Testing. Part II: Experimental Investigation,” Acta Mater., 49, pp. 2193–2203.
Dowling, N. E., 1999, Mechanical Behavior of Materials: Engineering Methods for Deformation Fracture and Fatigue, Prentice–Hall, NJ.
Oberg, E., Jones, F. D., and Horton, H. L., 1979, Machinery’s Handbook, 21st ed., Industrial Press Inc., New York.
Pöhland, K., 1989, Materials Testing for the Metal Forming Industry, Springer-Verlag, Berlin.
Demir, A., 2001, “Prediction of Brinell Hardness Distribution in Cold Formed Parts,” Bogazici University, MS thesis, Istanbul.

Figures

Grahic Jump Location
Data points indicate the measured hardness corresponding to the numerically calculated values of effective strain 1 for AISI 1010. The thicker line shows the empirical curve obtained by curve fitting of the data points. The thinner line shows the hardness predicted by the proposed equation (Eq. (12) together with Eq. (1)).
Grahic Jump Location
The thicker line shows the empirical curve obtained by curve fitting of the data points (HV=−60.7εo2+119.1εo+115.1)2. The thinner line shows the hardness predicted by the proposed equation (Eq. (12) together with Eq. (1)).
Grahic Jump Location
Data points indicate the measured hardness of a mild steel 11. The line shows the hardness predicted by the proposed equation (Eq. (12) and Eq. (1)).
Grahic Jump Location
Sketch for the experimental setup
Grahic Jump Location
Final geometry of the forward extruded part and strain distribution at its centerline
Grahic Jump Location
Data points indicate the measured Brinell hardness (kgf/mm2). The line shows the hardness predicted by the proposed equation (Eq. (12) and Eq. (1)).
Grahic Jump Location
Schematic of the procedure for verifying the analytical model
Grahic Jump Location
A schematic for the spherical indentation of the Brinell hardness test

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In