General relationship between contact stiffness, contact depth, and mechanical properties for indentation in linear viscoelastic solids using axisymmetric indenters of arbitrary profiles

Yang Tse Cheng, Che Min Cheng

Research output: Contribution to journalArticlepeer-review

42 Scopus citations

Abstract

We derive a relationship between the initial unloading slope, contact depth, and the instantaneous relaxation modulus for indentation in linear viscoelastic solids by a rigid indenter with an arbitrary axisymmetric smooth profile. Although the same expression is well known for indentation in elastic and in elastic-plastic solids, we show that it is also true for indentation in linear viscoelastic solids, provided that the unloading rate is sufficiently fast. Furthermore, the same expression holds true for both fast loading and unloading. These results should provide a sound basis for using the relationship for determining properties of viscoelastic solids using indentation techniques.

Original languageEnglish
Article number111914
JournalApplied Physics Letters
Volume87
Issue number11
DOIs
StatePublished - Sep 12 2005

Bibliographical note

Funding Information:
The authors would like to thank Wangyang Ni, Mike Lukitsch, Yue Qi, Tom Perry, and Wes Capehart, Lou Hector, and Mark W. Verbrugge for valuable discussions. C.M.C. would like to acknowledge partial support from NSF of China, Project No. 10372101.

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Fingerprint

Dive into the research topics of 'General relationship between contact stiffness, contact depth, and mechanical properties for indentation in linear viscoelastic solids using axisymmetric indenters of arbitrary profiles'. Together they form a unique fingerprint.

Cite this