{"title":"Film Hardness Evaluation in Hard Film/Substrate Composites by Conical Indentation","authors":"A. Boudilmi, K. Loucif","doi":"10.15407/mfint.45.04.0555","DOIUrl":null,"url":null,"abstract":"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 α , β 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.","PeriodicalId":18612,"journal":{"name":"Metallofizika I Noveishie Tekhnologii","volume":"26 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Metallofizika I Noveishie Tekhnologii","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15407/mfint.45.04.0555","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
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 α , β 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.
期刊介绍：
‘Metallophysics and Advanced Technologies’ or ‘Metallofizika i Noveishie Tekhnologii’ (‘MNT’) publishes original works (regular papers and reviews) not previously published and not being considered for publication elsewhere. The works accepted for publication in ‘MNT’ will not be published elsewhere in the same language without the consent of the Editors and Publisher. It is a condition of acceptance by the Editor of a manuscript for publication that the Publishers acquire automatically the copyright in the manuscript throughout the world.
The journal publishes the new results of experimental and theoretical researches in the physics and technology of metals, alloys, and compounds with metallic properties; reviews of the monographs; information on conferences and seminars; information on the history of metal physics; advertising of new technologies, materials, and devices.
Scope of the Journal:
Electronic Structure and Properties,
Crystal-Lattice Defects,
Phase Transformations,
Physics of Strength and Plasticity,
Metallic Surfaces and Films,
Structure and Properties of Nanoscale and Mesoscopic Materials,
Amorphous and Liquid States,
Interactions of Radiation and Particles with Condensed Matter,
Materials in Extremal Conditions,
Reactor and Aerospace Metals Science,
Medical Metals Science,
New Metallic Materials and Synthetic Metals,
Metal-Containing Smart Materials,
Physical and Technical Bases of Experiment and Diagnostics,
Articles under Discussion.
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