Notch radius effect on fracture toughness of ceramics pertinent to grain size |
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| Affiliation: | 1. Key Laboratory of Road Construction Technology and Equipment, MOE, Chang’an University, Xi’an, 710064, China;2. Key Laboratory of Pressure Systems and Safety, Ministry of Education, East China University of Science and Technology, Shanghai, 200237, China;1. School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou 510006, China;2. Department of Materials Science and Engineering, University of Sheffield, Sheffield S1 3JD, United Kingdom;3. School of Chemical Engineering and Light Industry, Guangdong University of Technology, Guangzhou 510006, China;1. CEA, IRESN⁄DEC, Cadarache, 13108 St Paul Lez Durance, France;2. University Grenoble Alpes, CEA, IRIG-PHELIQS, F-38000 Grenoble, France;3. Univ. Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, 38000 Grenoble, France;1. Key Laboratory of Road Construction Technology and Equipment, MOE, Chang’an University, Xi’an 710064, PR China;2. School of Mechanical and Chemical Engineering, The University of Western Australia, Perth, WA 6009, Australia |
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| Abstract: | Unlike fracture toughness, the notch fracture toughness of a ceramic is not a constant; rather, it increases with the notch-root radius ρ in a notched specimen. In this study, by analyzing the fracture measurements of eight different notched ceramics with an average grain size G of 3–40 μm, a simple model describing the relation between the notch fracture toughness and fracture toughness is proposed as a function of the relative notch-root radius ρ/G. The normal distribution is incorporated to consider the inevitable scatter in measurements where fracture mechanisms and errors are present. The results demonstrate that the model can effectively predict the quasi-brittle fracture variation trend for ceramics, including the upper and lower bounds, with 96% reliability, from a normal distribution; thus, it can address virtually all of the experimental data. We also determined that the notch fracture toughness approximates the fracture toughness if ρ ≤ G. |
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| Keywords: | Notch fracture toughness Fracture toughness Grain size Normal distribution Ceramic |
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