Indentation load-displacement curve, plastic deformation, and energy

J. Malzbender, G. With, de

Research output: Contribution to journalArticleAcademicpeer-review

68 Citations (Scopus)


Various methods to access indentation data are considered on the basis of the load P-displacement h curve, its deriv., or its integral. This paper discusses and extends the various anal. models to est. the indentation P-h curve, the slope, and the dissipated energy to aid the development of a concise methodol. to analyze indentation data. Special consideration is given to the effect of pile-up and sink-in. Relationships for sharp and spherical indenters are presented and in addn. for sharp indenters with a rounded tip. An overview over analytic expressions for the P-h curve is given and compared to finite element simulations and exptl. data. An expression derived for the representative strain at the onset of yield under sharp and spherical indenters compares well with literature results. The effect of a rounded tip on the yielding under a sharp indenter is discussed. The ratio of loading to unloading slope and the ratio of the plastically dissipated energy to the total energy is related to hardness and elastic modulus. In combination these ratios can be used to det. the strain-hardening coeff. [on SciFinder (R)]
Original languageEnglish
Pages (from-to)502-511
JournalJournal of Materials Research
Issue number2
Publication statusPublished - 2002


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