Hostname: page-component-7b7567c8c-wxvwp Total loading time: 0 Render date: 2026-11-15T18:03:02.801Z Has data issue: false hasContentIssue false
  • English
  • Français

Pile-up Behavior of Spherical Indentations in Engineering Materials

Published online by Cambridge University Press:  10 February 2011

B. Taljat,
T. Zacharia and
G. M. Pharr
B. Taljat
Affiliation:
Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831
T. Zacharia
Affiliation:
Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831
G. M. Pharr
Affiliation:
Department of Materials Science, Rice University, 6100 Main Street, Houston, TX 77005-1892
Get access

Abstract

The spherical indentation process has been modeled by the finite element method to study the pile-up behavior of elastic-plastic materials with different degrees of strain hardening. A wide range of materials was examined characterized by different elastic moduli, yield stresses, and strain hardening exponents. The geometry of the contact impressions was examined in both the loaded and unloaded conditions. Results show that pile-up behavior in elastic-plastic materials cannot be related solely to the strain hardening exponent, as has often been done in the past. Relating the pile-up behavior strictly to the strain hardening exponent may lead to significant errors in the calculated contact area for materials with modulus to yield stress ratio lower than 1000. In addition, an assessment of the combined influences of material properties and stage of development of the contact impression on the pile-up behavior is described.

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

1. Bolshakov, A.and Pharr, G. M., J. Mater. Res. 13, 1049–1058 (1998).Google Scholar
2. Johnson, K. L., J. Mech. Phys. Solids 18, 115–126 (1970).Google Scholar
3. Johnson, K. L., Contact Mechanics (Cambridge University Press, 1985).Google Scholar
4. Hertz, H., Misc. Papers by H. Hertz, edited by Jones, and Schott, (Macmillan, London, 1896).Google Scholar
5. Hill, R., Storakers, B., and Zdunek, A. B., Proc. R. Soc. London A 423, 301 (1989).Google Scholar
6. Norbury, A. L.and Samuel, T., J.Iron. Steel Inst. 117, 673 (1928).Google Scholar
7. Matthews, J. R., Acta Metall. 28, 311–318 (1980).Google Scholar
8. Field, J. S.and Swain, M. V., J. Mater. Res. 10 (1), 101–112 (1995).Google Scholar
9. Tabor, D., The Hardness of Metals (Clarendon Press, Oxford, 1951).Google Scholar
10. Francis, H. A., Trans. ASME, J. Eng. Mater. Technol., 272–281 (1976).Google Scholar
11. ABAQUS Users' Manual, Version 5.6., Hibbitt, Karlsson & Sorensen (1997).Google Scholar
12. Taljat, B., Zacharia, T., and Pharr, G. M., to be published.Google Scholar