Fracture toughness of glasses and hydroxyapatite: A comparative study of 7 methods by using Vickers indenter |
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| Affiliation: | 1. Arts & Métiers ParisTech, Mechanics Surfaces and Materials Processing (MSMP), 8, boulevard Louis XIV, 59046 Lille, France;2. Applied Optics Laboratory, Institute of Optics and Precision Mechanics, Ferhat Abbas University Setif 1, Algeria;3. Laboratory of Ceramic Materials and Associated Processes (LMCPA), University of Valenciennes and Hainaut Cambresis (UVHC), Boulevard Charles de Gaulle, 59600 Maubeuge, France;1. College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310014, China;2. State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;1. Department of Physics and Materials Science, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand;2. Department of Industrial Engineering, Faculty of Engineering, Rajamangala University of Technology Lanna, Chiang Mai 50300, Thailand;3. Material Science Center, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand;1. Graduate Institute of Applied Science and Technology, National Taiwan University of Science and Technology, Taipei 10607, Taiwan;2. Department of Materials Science and Engineering, National Taiwan University of Science and Technology, Taipei 10607, Taiwan;3. Department of Materials Engineering, Ming Chi University of Technology, New Taipei City 24301, Taiwan;4. Center for Thin Films Technologies and Applications, Ming Chi University of Technology, New Taipei City 24301, Taiwan |
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| Abstract: | Numerous methods have been proposed to estimate the indentation fracture toughness Kic for brittle materials. These methods generally uses formulæ established from empirical correlations between critical applied force, or average crack length, and classical fracture mechanics tests. This study compares several models of fracture toughness calculation obtained by using Vickers indenters. Two optical glasses (Crown and Flint), one vitroceramic (Zerodur) and one ceramic (hydroxyapatite) are tested. Fracture toughness and hardness are obtained by using instrumented Vickers indentation at micrometer scale. Young's moduli are obtained by instrumented Berkovich indentation at nanometer scale. Fracture toughness is calculated with models involving crack length measurements, and by models free of crack length measurements by considering critical force, chipping, pop-in. Finally, method based on the cracking energy, commonly employed for coated materials is also used.The aim of this work is to compare seven methods, which enable the facture toughness determination, on four brittle materials. To do so, it was necessary to determine some specific constant in the case of Vickers tip use.On the one hand, results show that methods using crack length, critical force, edge chipping or pop-in lead to comparable results, and the advantages and drawbacks are highlighted. On the other hand, the indentation energy method leads to underestimated results of about 20%. |
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| Keywords: | Indentation Fracture toughness Brittle fracture Hydroxyapatite Optical glasses |
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