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A nonlinear compaction model for fibrous preforms
Affiliation:1. Center for Composite Materials and Department of Mechanical Engineering, University of Delaware, Newark, DE 19716-3140, USA;2. Department of Civil and Environmental Engineering, University of Delaware, Newark, DE 19716-3140, USA;1. Laboratory of Thermodynamics of Solutions of Non-electrolytes and Biologically Active Substances, Krestov Institute of Solution Chemistry, Russian Academy of Sciences, 1 Akademicheskaya Str., 153045 Ivanovo, Russian Federation;2. United Physicochemical Center of Solution, Krestov Institute of Solution Chemistry, Russian Academy of Sciences, 1 Akademicheskaya Str., 153045 Ivanovo, Russian Federation;3. Department of Inorganic Chemistry, Ivanovo State University of Chemistry and Technology, 7 Sheremetevsky Ave., 153000 Ivanovo, Russian Federation;1. Department of Civil Engineering, Faculty of Engineering, Suleyman Demirel University, Isparta, Turkey;2. Department of Engineering Mathematics, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey;1. Department of Civil Engineering of Engineering Faculty of Suleyman Demirel University, Isparta, Turkey;2. Department of Civil Engineering of Faculty of Engineering and Architecture of Istanbul Gelisim University, Istanbul, Turkey;1. Department of Materials Engineering, KU Leuven, Kasteelpark Arenberg 44, BE-3001 Leuven, Belgium;2. Department of Materials Engineering, KU Leuven – Campus De Nayer, J. De Nayerlaan 5, B-2870 Sint-Katelijne Waver, Belgium
Abstract:Based on the mechanics of porous media and physical insight gained from experimental observation, a model for predicting the nonlinear compaction of fibrous preforms in the resin transfer molding process is developed. A key physical constant — namely, preform bulk compressibility — is proposed to establish the relationship between the applied pressure and the preform bulk volume. The preform bulk compressibility is a function of fiber volume fraction and five parameters — the initial fiber volume fraction, the final (maximum attainable) fiber volume fraction, the initial pore volume compressibility, the fiber compressibility, and an empirical index. Results of compaction experiments on plain-woven fabric preforms and unidirectional non-woven materials support the validity of the model. Excellent agreement between theory and experiments has been obtained. The present model provides for fibrous preforms a nonlinear constitutive law whose coefficients can be physically interpreted.
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