New method for determining Young's modulus by non-ideally sharp indentation

Dejun Ma, Chung Wo Ong, Sing Fai Wong, Jiawen He

Research output: Journal article publicationJournal articleAcademic researchpeer-review

16 Citations (Scopus)


In a previously developed method for estimating Young's modulus E by depth-sensing indentation with spherical-tipped Berkovich indenter, the E value is deduced from several functional relationships (established by finite element analysis) relating nominal hardness/reduced elastic modulus ratio (Hn/Er) and elastic work/total work ratio (We/W). These relationships are specified for different absolute bluntness/maximum displacement ratios (Δh/hm). This paper reports the generalization of the method by proposing a function to replace all the above mentioned Hn/Er-We/W relationships. The function contains only a parameter Vr≡ Videal/Vbluntinstead of Δh/hm, where Videalis defined as the indented volume bounded by the cross-sectional areas measured at the maximum displacement hmfor an ideally sharp indenter, and Vbluntis that of the real indenter. The use of Vrto replace Δh/hmis for the purpose of extending the application of the method for non-spherical tipped Berkovich indenters. The effectiveness of the method for materials of prominent plasticity was demonstrated by performing tests on carbon steel and aluminum alloy using three Berkovich indenters with different tip shapes.
Original languageEnglish
Pages (from-to)1498-1506
Number of pages9
JournalJournal of Materials Research
Issue number6
Publication statusPublished - 1 Jun 2005

ASJC Scopus subject areas

  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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