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Fibers 2018, 6(3), 57; https://doi.org/10.3390/fib6030057

An Upper Bound of Longitudinal Elastic Modulus for Unidirectional Fibrous Composites as Obtained from Strength of Materials Approach

School of Applied Mathematics and Physical Sciences NTUA, Section of Mechanics, 5 Heroes of Polytechnion Avenue, GR-15773 Athens, Greece
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Received: 30 April 2018 / Revised: 25 July 2018 / Accepted: 3 August 2018 / Published: 15 August 2018
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Abstract

In this paper, the authors introduce an upper bound of the longitudinal elastic modulus of unidirectional fibrous composites to strength of materials approach, provided that the fibre is much stiffer than the matrix. In the mathematical derivations resulting in this bound, the concept of boundary interphase between filler and matrix was also taken into consideration. The novel element of this work is that the authors have not taken into account any particular variation law to approach the stiffness of this intermediate phase. The theoretical predictions were compared with those obtained from some accurate analytical models as well as with experimental data found in the literature, and a satisfactory accordance was observed. View Full-Text
Keywords: fibrous composites; longitudinal modulus; upper bound; strength of materials; interphase fibrous composites; longitudinal modulus; upper bound; strength of materials; interphase
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Venetis, J.; Sideridis, E. An Upper Bound of Longitudinal Elastic Modulus for Unidirectional Fibrous Composites as Obtained from Strength of Materials Approach. Fibers 2018, 6, 57.

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