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"
}