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Finite-element analysis of probability of delayed failure in brittle structures
Affiliation:1. Ministry-of-Education Key Laboratory for the Green Preparation and Application of Functional Materials, Hubei Key Laboratory of Polymer Materials, School of Materials Science and Engineering, Hubei University, No.368 Youyi Avenue, Wuchang, Wuhan 430062, China;2. Ministry of Education Key Laboratory for the Synthesis and Application of Organic Functional Molecules, College of Chemistry and Chemical Engineering, Hubei University, No. 368 Youyi Avenue, Wuchang, Wuhan 430062, China;3. Key Laboratory of Tobacco Chemistry of Yunnan Province, R&D Center of China Tobacco Yunnan Industrial Co., Ltd., Kunming 650367, China;1. Henry Royce Institute, Department of Materials, University of Manchester, Manchester, M13 9PL, UK;2. Surface Engineering Group, Manchester Metropolitan University, Manchester, M1 5GD, UK;3. Department of Engineering Physics, Polytechnique Montréal, Montreal, Canada, H3T 1J4
Abstract:A formula is derived for predicting the time-dependent probability of fracture of brittle materials under multiaxial stress states. A finite-element analysis is performed to calculate its value for a ceramic beam (silicon nitride—Si3N4) subject to bending moment and also for the root of a ceramic gas turbine blade. It is found that the formula can be conveniently used in practical design of components made from brittle materials.
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