Publication detail

Comparison of the results of analytical and FEM stress calculations of the spherical nanoindentation

KOVÁŘ, J. FUIS, V.

English title

Comparison of the results of analytical and FEM stress calculations of the spherical nanoindentation

Type

conference paper

Language

en

Original abstract

This paper focuses on the comparison of the calculation of stress fields under the spherical indenter determined with analytical and FEM calculations and the identification of the most common cracks initiation reasons. The most used theory for the description of the contact of sphere and half-space was derived by Hertz. Huber extended this theory to calculate the stress field under the indenter. If every component of stress tensor is known, the principal stresses can be derived. The analytically calculated stresses were verified with the FEM and the initiation and growth of the most common cracks (ring, conical) at spherical indentation was explained.

English abstract

This paper focuses on the comparison of the calculation of stress fields under the spherical indenter determined with analytical and FEM calculations and the identification of the most common cracks initiation reasons. The most used theory for the description of the contact of sphere and half-space was derived by Hertz. Huber extended this theory to calculate the stress field under the indenter. If every component of stress tensor is known, the principal stresses can be derived. The analytically calculated stresses were verified with the FEM and the initiation and growth of the most common cracks (ring, conical) at spherical indentation was explained.

Keywords in English

Hertz theory, Spherical indentation, Fused silica, Nanoindentation, Conical crack

Released

09.05.2022

Location

Milovy

ISBN

978-80-86246-48-2

ISSN

1805-8248

Book

Engineering Mechanics 2022

Pages from–to

217–220

Pages count

4

BIBTEX


@inproceedings{BUT180345,
  author="Jaroslav {Kovář} and Vladimír {Fuis},
  title="Comparison of the results of analytical and FEM stress calculations of the spherical nanoindentation",
  booktitle="Engineering Mechanics 2022",
  year="2022",
  month="May",
  pages="217--220",
  address="Milovy",
  isbn="978-80-86246-48-2",
  issn="1805-8248"
}