Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 2024 Nov 25;14(1):29149.
doi: 10.1038/s41598-024-80760-0.

The methodology refinement through the predominant case of the pile-up to estimate the mechanical response by spherical indentation

Habibi Samir  1 , Fares Redouane  1 , Kiran Batool  2 , Sawera Batool  3 , Siti Suzilliana Putri Mohamed Isa  4   5 , Assmaa Abd-Elmonem  6 , Neissrien Alhubieshi  6
Affiliations

The methodology refinement through the predominant case of the pile-up to estimate the mechanical response by spherical indentation

Habibi Samir et al. Sci Rep. .

Abstract

The purpose of this work is to probe the analytical formulation of the mechanical response [Formula: see text], which is the consequence of determining the connection between charge and depth values. It is possible to acquire the [Formula: see text] expression by doing an indentation experiment while the loading process is unfolding. In this particular piece of research, the formulation of [Formula: see text] takes into consideration the pile-up mode for an indenter with a spherical structure. The remarkable concordance that exists involving the newly propositioned appearance and the outcome of the experiments has been presented in this academic work. An experimental investigation is being conducted on ductile materials, namely copper and the alloys of copper.

Keywords: Experiments results; Mechanical response; New expression; Pile-up; Spherical indentation.

PubMed Disclaimer

Conflict of interest statement

Declarations. Competing interests: The authors declare no competing interests.

Figures

Fig. 1
Fig. 1
The representation of material around spherical indents for the cases of (a) sinking in and (b) piling up.
Fig. 2
Fig. 2
The response of the spherical indentation formula image of copper obtained from experimental tests at a loading range.
Fig. 3
Fig. 3
Linear regressions of the two mechanical responses of the formula image function by spherical indentation.
Fig. 4
Fig. 4
Indication of the difference amplitudes between the two responses formula image and formula image for each indentation test.
Fig. 5
Fig. 5
Histogram of correlation between the analytical expressions relating to the sink-in, the pile-up (proposal of this work), and the direct (experimental) expression formula image for 13 tests of spherical indentation of materials: (a) Cu99, (b) C27200, (c) SAE660.
See this image and copyright information in PMC

References

    1. Tabor, D. A simple theory of static and dynamic hardness. Proc. R. Soc. A192(1029), 247 (1948).
    1. Stillwell, N. A. & Tabor, D. Elastic recovery of conical indentations. Proc. Phys. Soc. London78(2), 169 (1961). - DOI
    1. Norbury, A. L. & Samuel, T. The recovery and sinking-in or piling-up of material in the Brinell test and the effects of these factors on the correlation of the Brinell with certain other hardness tests. J. Iron Steel Inst.117, 673–687 (1928).
    1. Matthews, J. R. Indentation hardness and hot pressing. Acta Metall.28, 311–318 (1980). - DOI
    1. Alcalá, J., Barone, A. C. & Anglada, M. The influence of plastic hardening on surface deformation modes around Vickers and spherical indents. Acta Mater.48, 3451–3464 (2000). - DOI

LinkOut - more resources