Statistical modeling of effective elastic modulus for multiphased hybrid composites |
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| Affiliation: | 1. Research Institute of Advanced Materials (RIAM), Department of Materials Science and Engineering, Seoul National University, Daehak-Dong, Gwanak-Gu, Seoul, 151-744, Republic of Korea;2. Department of Fiber System Engineering, Dankook University, 126 Jukjeon-dong, Suji-gu, Yongin-si, Gyeonggi-do, 448-701, Republic of Korea;1. Nikolaev Institute of Inorganic Chemistry SB RAS, 630090, Lavrentieva St. 3, Novosibirsk, Russia;2. Department of Natural Sciences, Novosibirsk State University, 630090, Pirogova St. 2, Novosibirsk, Russia;1. Università di Palermo, Dipartimento di Ingegneria Civile, Ambientale, Aerospaziale, dei Materiali, Viale delle Scienze, 90128 Palermo, Italy;2. Università degli Studi di Enna “Kore”, Facoltà di Ingegneria e Architettura, Cittadella Universitaria, 94100 Enna, Italy;1. Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, UK;2. Department of Applied Sciences, University of the West of England, Bristol BS16 1QY, UK;3. Department of Mathematics, College of Sciences, University of Basrah, Basrah, Iraq;1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China;2. School of Environmental and Chemical Engineering, Shanghai University, Shanghai 200444, China;3. State Key Laboratory of Marine Environmental Science, Xiamen University, Xiamen 361102, China;1. Michigan Technological University, Department of Mathematical Sciences, Houghton, MI 49931-1295, USA;2. Swiss Federal Institute of Technology, Institute of Food, Nutrition and Health, Laboratory of Food Process Engineering, ETH-Zentrum, CH-8092, Zurich, Switzerland |
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| Abstract: | We explored the effective elastic moduli of hybrid composites by using different statistical models to understand and analyze the effect of fiber length distribution (FLD) on the mechanical properties. Micro-CT was used to investigate the internal structure of the hybrid composites, and FLD was calculated via image-processing for the composite samples. The interaction between inclusions and matrix was considered using a perturbed stress-strain theory. Statistical modeling with the Weibull, Log-normal and Generalized Extreme Value (GEV) functions was carried out to understand the role of skewness. The results show that different skewness and FLD have significant impacts on the effective elastic moduli of the hybrid composites, which demonstrates the practical importance of statistical modeling when evaluating and analyzing the their mechanical properties. |
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| Keywords: | Hybrid Anisotropy Statistical properties Non-destructive testing |
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