Analysis of indentation loading curves obtained using conical indenters

Yang Tse Cheng, Che Min Cheng

Research output: Contribution to journalArticlepeer-review

58 Scopus citations

Abstract

Using dimensional analysis and Unite-element calculations we determine the functional form of indentation loading curves for a rigid conical indenter indenting into elastic-perfectly plastic solids. The new results are compared with the existing theories of indentation using conical indenters, including the slip-line theory for rigid-plastic solids, Sneddon’s result for elastic solids, and Johnson’s model for elastic-perfectly plastic solids. In the limit of small ratio of yield strength (Y) to Young’s modulus (E), both the new results and Johnson’s model approach that predicted by slip-line theory for rigid-plastic solids. In the limit of large Y/E, the new results agree with that for elastic solids. For a wide range of Y/E, some difference is found between Johnson’s model and the present result. This study also demonstrates the possibilities and limitations of using indentation loading curves to extract fundamental mechanical properties of solids.

Original languageEnglish
Pages (from-to)39-47
Number of pages9
JournalPhilosophical Magazine Letters
Volume77
Issue number1
DOIs
StatePublished - Jan 1998

ASJC Scopus subject areas

  • Condensed Matter Physics

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