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.

Highlights

  • To predict the rheological and thermomechanical behavior of unidirectional fibrous composites, many influential factors can be taken into consideration

  • In [22], the influence of the statistical character of fiber strength on the predictability of the tensile properties of polymer composites reinforced with natural filler was examined by comparing the well-known linear and power-law Weibull models, whereas in [23], the thermal conductivities of a general class of unidirectional fibrous composites were estimated by the aid of the interphase concept

  • A coaxial cylinder multiphase model was performed to simulate the microstructure of periodic fibrous composites and in sequel to estimate the longitudinal and transverse thermal conductivities

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Summary

Introduction

To predict the rheological and thermomechanical behavior of unidirectional fibrous composites, many influential factors can be taken into consideration. In [22], the influence of the statistical character of fiber strength on the predictability of the tensile properties of polymer composites reinforced with natural filler was examined by comparing the well-known linear and power-law Weibull models, whereas in [23], the thermal conductivities of a general class of unidirectional fibrous composites were estimated by the aid of the interphase concept. In [25], a hexaphase coaxial spherical model was introduced to evaluate themodel, thermal obtained from a body-centered cubic model after a topological transformation based on the conductivity of macroscopically homogeneous particulate composite materials This model,equality obtained between phase contents, took into after account the particle vicinity.

Simulation of Fiber Arrangement
Four-phase
The Concept of the Interphase
Materials and Experimental Work
Estimation of Thermal Conductivities
Discussion
Conclusions
Full Text
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