Vol. 13, No. 2, 2018

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Longitudinal shear behavior of composites with unidirectional periodic nanofibers of some regular polygonal shapes

Hai-Bing Yang, Cheng Huang, Chuan-bin Yu and Cun-Fa Gao

Vol. 13 (2018), No. 2, 155–170
Abstract

Based on the Gurtin–Murdoch interface model, a complex variable-based approach is presented to study the longitudinal shear behavior of composites containing unidirectional periodic nanofibers. For intuitive demonstration, numerical results of the interfacial stress concentration and the effective (longitudinal) shear moduli are calculated for composites containing circular and (approximately) regular polygonal fibers. Graphic illustrations show that the interaction among periodic nanofibers can be neglected in the prediction of the interfacial stress field when the volume fraction of the fibers is less than 7%. For reasonably given interface parameters, fiber volume fraction and fiber size, the composite containing periodic circular fibers can achieve a lowest sensitivity of effective shear moduli to the interface effect among all the aforementioned fiber shapes. Moreover, we show that if the fibers are much harder than the surrounding matrix (for example, the shear modulus of the fibers exceeds twice that of the matrix), the corresponding interface effect can make only negligible contributions to the effective longitudinal shear moduli of the composites.

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Keywords
Gurtin–Murdoch model, nanofiber, periodic fibers, interface effect, effective modulus
Milestones
Received: 11 September 2017
Revised: 23 January 2018
Accepted: 14 February 2018
Published: 27 May 2018
Authors
Hai-Bing Yang
Department of Mechanics Engineering
School of Civil Engineering and Transportation
South China University of Technology
Guangzhou
China
Cheng Huang
State Key Laboratory of Mechanics and Control of Mechanical Structures
Nanjing University of Aeronautics and Astronautics
Nanjing
China
Chuan-bin Yu
State Key Laboratory of Mechanics and Control of Mechanical Structures
Nanjing University of Aeronautics and Astronautics
Nanjing
China
Cun-Fa Gao
State Key Laboratory of Mechanics and Control of Mechanical Structures
Nanjing University of Aeronautics and Astronautics
Nanjing
China