Next Article in Journal
In Situ Produced Bacterial Cellulose Nanofiber-Based Hybrids for Nanocomposites
Next Article in Special Issue
Multi-Scale Carbon (Micro/Nano) Fiber Reinforcement of Polyetheretherketone Using High Shear Melt-Processing
Previous Article in Journal
Manufacturing and Spectral Features of Different Types of Long Period Fiber Gratings: Phase-Shifted, Turn-Around Point, Internally Tilted, and Pseudo-Random
Article Menu

Export Article

Open AccessArticle
Fibers 2017, 5(3), 30; doi:10.3390/fib5030030

The Thermal Conductivities of Periodic Fibrous Composites as Defined by a Mathematical Model

School of Applied Mathematics and Physical Sciences NTUA, Section of Mechanics, 5 Heroes of Polytechnion Avenue, GR-15773 Athens, Greece
*
Author to whom correspondence should be addressed.
Academic Editor: Sushanta Ghoshal
Received: 4 May 2017 / Revised: 1 August 2017 / Accepted: 4 August 2017 / Published: 14 August 2017
View Full-Text   |   Download PDF [4891 KB, uploaded 14 August 2017]   |  

Abstract

In this paper, a geometric body-centered model to simulate the periodic structure of unidirectional fibrous composites is presented. To this end, three prescribed configurations are introduced to predict in a deterministic manner the arrangement of internal and neighboring fibers inside the matrix. Thus, three different representative volume elements (RVEs) are established. Furthermore, the concept of the interphase has been taken into account, stating that each individual fiber is encircled by a thin layer of variable thermomechanical properties. Next, these three unit cells are transformed in a unified manner to a coaxial multilayer cylinder model. This advanced model includes the influence of fiber contiguity in parallel with the interphase concept on the thermomechanical properties of the overall material. Then, by the use of this model, the authors propose explicit expressions to evaluate the longitudinal and transverse thermal conductivity of this type of composite. The theoretical predictions were compared with experimental results, as well as with theoretical values yielded by some reliable formulae derived from other workers, and a reasonable agreement was found. View Full-Text
Keywords: fibrous composites; periodic structure; fiber contiguity; interphase; thermal conductivities fibrous composites; periodic structure; fiber contiguity; interphase; thermal conductivities
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Venetis, J.; Sideridis, E. The Thermal Conductivities of Periodic Fibrous Composites as Defined by a Mathematical Model. Fibers 2017, 5, 30.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Fibers EISSN 2079-6439 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top