Film Hardness Evaluation in Hard Film/Substrate Composites by Conical Indentation

A. Boudilmi$^{1,2}$, K. Loucif$^{2}$

$^{1}$University Mohamed Boudiaf, BP 166 Chebilia, 28000 M’Sila, Algeria
$^{2}$Ferhat Abbas Setif University, Cite Mebouda, 19000 Setif, Algeria

Получена: 03.01.2023; окончательный вариант - 15.02.2023. Скачать: PDF

The hardness of the bulky or covered materials is typically obtained through indentation techniques. Due to the complexity of the influence of the micro- or nanohardness of the coating and the substrate on the measuring of the composite hardness, various mathematical and geometrical models based on the area law-of-mixtures’ advance are founded. The present study offers mathematical and geometrical modelling of the coefficient of the area law-of-mixtures' for conical indentation. The project imprints are considered as disks and the coefficients $\alpha$, $\beta$ of the area law of mixtures become ratios of circle surfaces. The hardness of the composite and the substrate is expressed as a function of the imprint projected dimensions and the applied load. Finally, the film contribution is determined from the proposed modelling of the area law-of-mixtures’ model.

Ключевые слова: hardness, non-destructive testing, hardness test, microindentation, modelling.


PACS: 07.35.+k, 46.55.+d, 61.43.Bn, 62.20.Qp, 81.70.Bt

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