Quantitative description and numerical simulation of random microstructures of composites and their effective elastic moduli |
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| Affiliation: | 1. University of Dayton Research Institute, 300 College Park, Dayton, OH 45433-0168, USA;2. Air Force Research Laboratory, Materials and Manufacturing Directorate, AFRL/MLBC, Wright-Patterson AFB, OH 45433-7750, USA;3. UES Incorporated, Dayton, OH 45433, USA;1. School of Engineering, University of Aberdeen, Aberdeen, UK;2. Department of Engineering Science, University of Oxford, Oxford, UK;1. IMDEA Materials, C/Eric Kandel 2, 28906 Getafe, Madrid, Spain;2. Department of Materials Science, E.T.S. de Ingenieros de Caminos, 28040 Madrid, Spain;3. Airbus Operations, S.L. Paseo de John Lennon, s/n, 28906 Getafe, Madrid, Spain;1. Department of Materials Science and Engineering, Texas A&M University, College Station, TX 77843, USA;2. Department of Metallurgical and Materials Eng., Faculty of Petroleum and Mining Eng., Suez University, Suez, Egypt;3. Department of Aerospace Engineering, Texas A&M University, College Station, TX 77843, USA;4. Department of Engineering Sciences and Mathematics, Luleå University of Technology, SE 971 87, Luleå, Sweden;1. Department of Engineering, Lancaster University, Lancaster LA1 4YW, UK;2. School of Civil Engineering, University of Leeds, Leeds LS2 9JT, UK;1. State Key Laboratory of Structural Analysis for Industrial Equipment, School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, PR China;2. National Key Laboratory of Science and Technology on Advanced Composites in Special Environments, Harbin Institute of Technology, Harbin 150001, PR China;2. Shaanxi Key Laboratory of Fiber Reinforced Light Composite Materials, Northwestern Polytechnical University, Xian, 710072, China |
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| Abstract: | A digital image processing technique is used for measurement of centroid coordinates of fibers with forthcoming estimation of statistical parameters and functions describing the stochastic structure of a real fiber composite. Comparative statistical analysis of the real and numerically simulated structure are performed. Accompanying of known methods of the generation of random configurations by the random shaking procedure allows creating of the most homogenized and mixed structures that do not depend on the initial protocol of particle generation. We consider a linearly elastic composite medium, which consists of a homogeneous matrix containing a statistically homogeneous set of ellipsoidal inclusions. The multiparticle effective field method (see for references, Buryachenko, Appl. Mech. Rev., (2001a), 54, 1–47) based on the theory of functions of random variables and Green’s functions is used for demonstration of the dependence of effective elastic moduli of fiber composites on the radial distribution functions estimated from the real experimental data as well as from the ensembles generated by the method proposed. |
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