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A general relation for contact stiffness including adhesion in indentation analysis

Published online by Cambridge University Press:  02 June 2011

Pin Lu ,
Yong L. Foo ,
Lu Shen ,
Davy W.C. Cheong  and
Sean J. O’Shea
Pin Lu*
Affiliation:
Institute of Materials Research and Engineering, Agency for Science, Technology and Research (A*STAR), Singapore 117602
Yong L. Foo
Affiliation:
Institute of Materials Research and Engineering, Agency for Science, Technology and Research (A*STAR), Singapore 117602
Lu Shen
Affiliation:
Institute of Materials Research and Engineering, Agency for Science, Technology and Research (A*STAR), Singapore 117602
Davy W.C. Cheong
Affiliation:
Institute of Materials Research and Engineering, Agency for Science, Technology and Research (A*STAR), Singapore 117602
Sean J. O’Shea
Affiliation:
Institute of Materials Research and Engineering, Agency for Science, Technology and Research (A*STAR), Singapore 117602
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

The Maugis–Barquins (MB) solutions for the adhesive contact between an axisymmetric indenter and an elastic half-space are modified by incorporating the interfacial energy defined by the real area of contact. With the modified MB solutions, general relations for contact stiffness including adhesive effects in indentation analysis are derived. Numerical calculations showed that the difference in expected stiffness for the modified MB model compared to the standard MB results can be significant at low loads of interest in atomic force microscopy measurements and also for indentation tests at high load if the interfacial energy is large (∼0.1 J/m2) and the material is soft (Young’s modulus ≤100 MPa).

Keywords

AdhesionElastic propertiesNano-indentation
Type
Articles
Information
Journal of Materials Research , Volume 26 , Issue 11 , 14 June 2011 , pp. 1406 - 1413
Copyright
Copyright © Materials Research Society 2011

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References

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