Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-02T20:40:24.524Z Has data issue: false hasContentIssue false

Some basic equations for the next generation of surface testers solving the problem of pileup, sink-in, and making area-function calibration obsolete

Published online by Cambridge University Press:  31 January 2011

Norbert Schwarzer*
Affiliation:
Saxonian Institute of Surface Mechanics, Tankow 1, 18569 Ummanz, Germany
*
a) Address all correspondence to this author. e-mail: [email protected]
Get access

Abstract

In the present paper the formulas for the stiffnesses of a new and more general surface tester concept are given and discussed. The concept is based on the idea that the next generation of surface testers will provide the means to use all degrees of freedom of movement a probe on a sample surface could perform. Thus, in addition to the ordinary normal stiffness, lateral and tilting stiffness are measured, as well as twisting stiffness, and then used in the subsequent parameter determination of the investigated materials. It is shown in the paper that such a concept would not only solve classical problems such as “pileup” and “sink-in” completely, but it would also supersede the need of area-function calibration for the indenter tips and allow direct measurement of local intrinsic and residual stresses, anisotropy, and many other things, too.

Type
Articles
Copyright
Copyright © Materials Research Society 2009

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.Oliver, W.C. and Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).CrossRefGoogle Scholar
2.Lucas, B.N., Hay, J.C., and Oliver, W.C.: Using multidimensional contact mechanics experiments to measure Poisson's ratio. J. Mater. Res. 19, 58 (2004).CrossRefGoogle Scholar
3.Mindlin, R.D.: Trans. ASME, Series E. J. Appl. Mech. 16, 259 (1949).CrossRefGoogle Scholar
4.Johnson, K.L.: Contact Mechanics, 4th ed. (Cambridge University Press, Cambridge, UK, 1985), pp. 1, 211–219.CrossRefGoogle Scholar
5.Schwarzer, N.: Basic Equations for the Next Generation of Surface Testers for the Case of an Elastic Indenter and a Layered Samples, online archive of the Saxonian Institute of Surface Mechanics, www.siomec.de/pub/2008/001.Google Scholar
6.Fabrikant, V.I.: Mixed Boundary Value Problems of Potential Theory and Their Application in Engineering (Kluwer Academic Publishers, The Netherlands, 1991).Google Scholar
7.Schwarzer, N.: Short note on the potential use of a rotating indenter with respect to the next generation of nanoindenters. Int. J. Surf. Sci. Eng. 1, 239 (2007).CrossRefGoogle Scholar
8.Schwarzer, N.: Effect of lateral displacement on the surface stress distribution for cone and sphere contact. Philos. Mag. 86, 5231 (2006).CrossRefGoogle Scholar
9.Schwarzer, N.: Intrinsic Stresses—Their Influence on the Yield Strength and Their Measurement Via Nanoindentation, online archive of the Saxonian Institute of Surface Mechanics, www.siomec.de/pub/2007/001.Google Scholar