Publication detail

The discrepancy between the indentation curves obtained by the finite element method calculation with a Berkovich and a conical indenter

KOVÁŘ, J. FUIS, V. ČTVRTLÍK, R. TOMÁŠTÍK, J.

English title

The discrepancy between the indentation curves obtained by the finite element method calculation with a Berkovich and a conical indenter

Type

journal article in Web of Science

Language

en

Original abstract

Nanoindentation is an experimental technique used for the determination of Young modulus. The commonly used Oliver-Pharr analysis based on the assumption of the equivalence of indentation curves obtained with a Berkovich and a conical indenter is employed. Nevertheless, a break-down of this equivalence in projected area between the pyramidal and conical geometry was found. This discrepancy leads to an overestimation of Young modulus and needs to be corrected with coefficient β. It corrects the difference between Young modulus from the conical and the Berkovich indentation but cannot correct the indentation curves. This paper aims at the FEM study of modelling of the nanoindentation test, the influence of the Oliver-Pharr analysis assumptions, the comparison and unification of the different values of β for the Berkovich and the conical indentation with a rigid and a diamond indenter, the correction of the indentation curves, and the explanation of the differences between the FEM calculated and experimentally measured indentation curves.

English abstract

Nanoindentation is an experimental technique used for the determination of Young modulus. The commonly used Oliver-Pharr analysis based on the assumption of the equivalence of indentation curves obtained with a Berkovich and a conical indenter is employed. Nevertheless, a break-down of this equivalence in projected area between the pyramidal and conical geometry was found. This discrepancy leads to an overestimation of Young modulus and needs to be corrected with coefficient β. It corrects the difference between Young modulus from the conical and the Berkovich indentation but cannot correct the indentation curves. This paper aims at the FEM study of modelling of the nanoindentation test, the influence of the Oliver-Pharr analysis assumptions, the comparison and unification of the different values of β for the Berkovich and the conical indentation with a rigid and a diamond indenter, the correction of the indentation curves, and the explanation of the differences between the FEM calculated and experimentally measured indentation curves.

Keywords in English

nanoindentation, computing, elastic properties, fused silica, Ni

Released

09.05.2022

Publisher

Springer

Location

Heidelberg, Germany

ISSN

0884-2914

Volume

37

Number

10

Pages from–to

1750–1761

Pages count

12

BIBTEX


@article{BUT177915,
  author="Jaroslav {Kovář} and Vladimír {Fuis} and Radim {Čtvrtlík} and Jan {Tomáštík},
  title="The discrepancy between the indentation curves obtained by the finite element method calculation with a Berkovich and a conical indenter",
  year="2022",
  volume="37",
  number="10",
  month="May",
  pages="1750--1761",
  publisher="Springer",
  address="Heidelberg, Germany",
  issn="0884-2914"
}