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Mechanics of Materials
journal homepage: www.elsevier.com/locate/mechmat
Research paper
Thermo-mechanical modeling of C/C 3D orthogonal and angle interlock
woven fabric composites in high temperature environment
Nagappa Siddgonde, Anup Ghosh
⁎
Department of Aerospace Engineering, Indian Institute of Technology, Kharagpur, WB 721302, India
ARTICLE INFO
Keywords:
Carbon/carbon composite
Thermomechanical modeling
Multi-scale modeling
High temperature
3D Woven fabric composites
Periodic boundary conditions
ABSTRACT
Carbon/Carbon (C/C) 3D textile composites are very popular in various felds of applications such as aerospace,
defence, and chemical industries due to their attractive mechanical and thermal properties. Consequently, in-
vestigation of these properties of 3D C/C textile composites has become an essential primary requirement for
thermo-structural analysis of composites structures in high-temperature applications. In this study, a fnite
element based Representative Volume Element (RVE) has been developed to perform the thermo-mechanical
analysis. Thermo-mechanical properties of 3D C/C orthogonal interlock woven fabric composite (OIWFC) and
angle interlock woven fabric composite (AIWFC) are investigated. The RVE analysis for the evaluation of
thermo-mechanical properties has been carried out with the implementation of multi-scale modeling techniques
and periodic boundary conditions (BCs). The micro-scale analysis predicts the thermo-mechanical properties of
fber yarn/tow. Further, yarn properties are incorporated into the meso-scale model to predict the thermo-
mechanical properties of 3D C/C woven fabric composites. The variation of mechanical constants and coefcient
of thermal expansions (CTEs) values have been investigated within the temperature range from 300 K to 2500 K.
It has been extended for the prediction of variation of thermo-mechanical properties with respect to the number
of weft layers along the thickness direction of the 3D orthogonal interlock woven fabric composites. The vali-
dation study has been carried out and present FE based numerical results agree well with numerical and ex-
perimental results from the available literature.
1. Introduction
Carbon-Carbon (C/C) composites are the most popular material due
to their high thermal stability, thermal conductivity, shock resistance,
and high strength to stifness ratio in the high-temperature environ-
ments. C/C composite also shows high specifc strength and fracture
toughness (Shigang et al., 2015). One of the biggest advantages of C/C
composite is, it is light in weight and has a very low coefcient of
thermal expansions. The strength and hardness of the epoxy composite
are good at room temperature. At very high temperatures it gets de-
formed, and then loses its functional properties whereas C/C composite
maintains its shape and strength. Therefore, designing heat exchanger
using C/C composite has become a choice for engineers. The C/C
composite is a material in huge demand for thermo-structural appli-
cations. A composite material is anisotropic and heterogeneous in
nature. Consequently, the modeling of these materials is a challenging
task. With the change of atmospheric to ambient temperature, the
material behavior changes in a very complicated way due to deforma-
tion mismatch. Consequently, this mismatch creates induced stress
within the material. To incorporate these induced thermal stress in the
structural analysis, the investigation of thermo-mechanical properties
of C/C 3D woven fabric composite is an essential step for thermo-
structural applications.
In the past several decades, researchers have developed various
analytical micromechanical models to predict the mechanical and
thermo-mechanical properties of textile composites (Ishikawa and
Chou, 1982; 1983). Later, Ishikawa et al. (1997) have developed a
closed-form solution based on a series-parallel approach to predict the
thermo-mechanical properties of 3D orthogonal composites. In their
study, only single layer stufer, fller, and warp weave with rectangular
yarn cross-section were analyzed. It fails to consider 3D orthogonal
geometry due to the 1D limitation of their model. Further, Sankar and
Marrey (1997) proposed a 2D analytical based selective average
method to evaluate the in-plane and transverse CTEs of plain and satin
weave composites. Tan et al. (1997) have reviewed the prediction of
thermomechanical properties of 3D composites and the various homo-
genization schemes at both structural and material levels considering
the nonlinear behavior of textile composites. Later, Naik and
https://doi.org/10.1016/j.mechmat.2020.103525
Received 4 February 2020; Received in revised form 24 June 2020; Accepted 25 June 2020
⁎
Corresponding author.
E-mail address: anup@aero.iitkgp.ac.in (A. Ghosh).
Mechanics of Materials 148 (2020) 103525
Available online 27 June 2020
0167-6636/ © 2020 Elsevier Ltd. All rights reserved.
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