Relationships between hardness, elastic modulus, and the work of indentation

Yang Tse Cheng, Che Min Cheng

Research output: Contribution to journalArticlepeer-review

485 Scopus citations

Abstract

The work done during indentation is examined using dimensional analysis and finite element calculations for conical indentation in elastic-plastic solids with work hardening. An approximate relationship between the ratio of hardness to elastic modulus and the ratio of irreversible work to total work in indentation is found. Consequently, the ratio of hardness to elastic modulus may be obtained directly from measuring the work of indentation. Together with a well-known relationship between elastic modulus, initial unloading slope, and contact area, a new method is then suggested for estimating the hardness and modulus of solids using instrumented indentation with conical or pyramidal indenters.

Original languageEnglish
Pages (from-to)614-616
Number of pages3
JournalApplied Physics Letters
Volume73
Issue number5
DOIs
StatePublished - 1998

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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