Engineering Mechanics

International Conference

Proceedings Vol. 27/28 (2022)


May 9 – 12, 2022, Milovy, Czech Republic
Editors: Cyril Fischer and Jiří Náprstek

Copyright © 2022 Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences, Prague

ISBN 978-80-86246-48-2 (printed)
ISBN 978-80-86246-51-2 (electronic)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

Comparison of the results of analytical and FEM stress calculations of the spherical nanoindentation
Kovář J., Fuis V.
pages 217 - 220, full text

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.

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Ownership of copyright in original research articles remains with the Authors, and provided that, when reproducing parts of the contribution, the Authors acknowledge and/or reference the Proceedings, the Authors do not need to seek permission for re-use of their material.

All papers were reviewed by members of the scientific committee.

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