New Method for the Micro- and Nanohardness Measurement of Thin Film of Monolayer Solid by the Indentation of a Sharp Needle of a Cone Tip

This study is a mathematical and geometric proof of the expression of the micro- and nanohardness of thin coating resulting from the indentation of a needle form of a cone tip. It is geometric and mathematical modeling of the indentation of the monolayer solid material, where approaches to the coeff...

Full description

Saved in:
Bibliographic Details
Published in:Strength of materials 2023-07, Vol.55 (4), p.800-813
Main Authors: Boudilmi, A., Loucif, K., Slamani, M., Titoum, M., Bouchareb, K.
Format: Article
Language:English
Subjects:
Analysis
Characterization and Evaluation of Materials
Chemistry and Materials Science
Classical Mechanics
Coating
Dielectric films
Film thickness
Formulations
Hardness
Indentation
Laws, regulations and rules
Materials Science
Mathematical models
Measurement
Mechanical properties
Methods
Mixtures
Monolayers
Nanohardness
Protective coatings
Solid Mechanics
Substrates
Thin films
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This study is a mathematical and geometric proof of the expression of the micro- and nanohardness of thin coating resulting from the indentation of a needle form of a cone tip. It is geometric and mathematical modeling of the indentation of the monolayer solid material, where approaches to the coefficients of the model of surfaces mixture are presented. Firstly, formulations of hardness indentations of the composite and the substrate of the mono-layer-coated material have been established. Then, the hardness formula of the thin film of the coating material was derived from the additive law of mixtures. The project imprint result from the indentation of the cone tip on a plane surface is considered as a disk form and the coefficients α and β are ratios of circle surfaces. The hardness of the composite and the substrate of the coating material are expressed as functions of the imprint projected dimensions and the applied load. The contribution of the film to the composite hardness is determined by the model of the surfaces – low mixture of the area – low mixture model. Finally, the expression of the hardness film becomes a function of the composite hardness, the indenter dimension, the imprint dimension, and the film thickness.
ISSN:0039-2316
1573-9325
DOI:10.1007/s11223-023-00571-y