Hostname: page-component-76fb5796d-vfjqv Total loading time: 0 Render date: 2024-04-27T16:20:43.696Z Has data issue: false hasContentIssue false

Mechanisms Underlying Hardness Numbers

Published online by Cambridge University Press:  01 February 2011

John J. Gilman*
Affiliation:
Materials Science and Engineering University of California at Los Angeles Los Angeles, CA 90095
Get access

Abstract

Relationships of indentation hardness numbers to to other physical properties are demonstrated. They differ depending on the type of chemical bonding; metals, alloys ionic, covalent, and metal-metalloid. The properties are: shear modulus; ionic charge; band-gap density; polarizability; and formation energy, respectively. In each case the rationale is provided. The concept of a “bonding Modulus” is introduced. It is concluded that the conventional wisdom that hardness is a purely empirical property does not hold. Phase transformations and indentation hardness are connected broadly.

Type
Research Article
Copyright
Copyright © Materials Research Society 2005

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.)

References

REFERENCES

1. Gilman, J. J. (1960) Australian Jour. Phys., 13, 327.Google Scholar
2. Gilman, J. J. (1973), J. Appl. Phys., 44, 982.Google Scholar
3. Gilman, J. J. (1997), Mat. Res. Innovat., 1, 71.Google Scholar
4. Keyes, R. W. (1962), J. Appl. Phys., 33, 3371.Google Scholar
5. Gilman, J. J. (1969), Micromechanics of Flow in Solids, p. 33, McGraw-Hill, New York.Google Scholar
6. Gridneva, I. V., Mil'man, Yu. V., and Trefilov, V. I. (1972), Phys Stat. Sol. A, 14(1), 177.Google Scholar
7. Khayyat, M. M., Banini, G. K., Hasko, D. G., and Chaudhri, M. M. (2003), Journal of Physics D: Applied Physics, 36 (11), 1300.Google Scholar
8. Jamieson, J. C. (1963), Science, 139 (3557), 845.Google Scholar
9. Ackland, G. J. (2004), Chap. 23 in High-pressure Surface Science and Engineering, Ed. by Gogotsi, Y. and Dominich, V., Inst. Phys. Publish., Bristol, UK, p. 120.Google Scholar
10. Gilman, J. J. (1993), Science, 261, 1436.Google Scholar
11. Gilman, J. J. (1970), J. Appl. Phys., 41, 1664. Data of this paper were revised for Figure 8.Google Scholar
12. Sachs, G., and Weerts, J. (1930), Zeit. F. Phys., 62, 473.Google Scholar