Development of a Model for Predicting the Transverse Coefficients of Thermal Expansion of Unidirectional Carbon Fibre Re
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Development of a Model for Predicting the Transverse Coefficients of Thermal Expansion of Unidirectional Carbon Fibre Reinforced Composites Chensong Dong
Received: 16 June 2008 / Accepted: 11 September 2008 / Published online: 25 September 2008 # Springer Science + Business Media B.V. 2008
Abstract A model for predicting the transverse coefficients of thermal expansion (CTE) for carbon fibre composites is presented in this paper. The transverse CTE were calculated by finite element analysis using a representative unit cell. The analytical micromechanical models from literature were reviewed by comparing with the FEA data. It shows that overall Hashin model provides the best accuracy. However, the calculating process of Hashin model is very complicated and inconvenient for practical applications. By using FEA, Design of Experiments (DOE), and Response Surface Method (RSM), the transverse CTE of unidirectional carbon fibre composites were studied and a regression-based model was developed. The model was validated against the FEA and experimental data. It shows that the developed model offers excellent accuracy while reduces complicated computation process. The advantage of this model is that it provides a simple and accurate method for predicting the transverse CTE of composites, which helps effective and efficient design of composite structures. Keywords Coefficient of thermal expansion . Composites . Carbon fibre Nomenclature α11 Longitudinal CTE of composite α22 Transverse CTE of composite αfL Longitudinal CTE of fibre αfT Transverse CTE of fibre αm CTE of matrix E11 Longitudinal modulus of composite E22 Transverse modulus of composite EfL Longitudinal modulus of fibre
C. Dong (*) Department of Mechanical Engineering, Curtin University of Technology, GPO Box U1987, Perth, WA 6845, Australia e-mail: [email protected]
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EfT Em Gf GfTT Gm ν12 νf νfTT νm Vf
Appl Compos Mater (2008) 15:171–182
Transverse modulus of fibre Modulus of matrix Longitudinal–transverse shear modulus of fibre Transverse–transverse shear modulus of fibre Shear modulus of matrix Longitudinal–transverse Poisson’s ratio of composite Longitudinal–transverse Poisson’s ratio of fibre Transverse–transverse Poisson’s ratio of fibre Poisson ratio of matrix Fibre volume fraction
1 Introduction With the increasing requirements of energy efficiency and environment protection, composite materials have become an attractive alternative to traditional materials because of the advantages of low density, high strength, high stiffness to weight ratio, excellent durability, and design flexibility. The coefficients of thermal expansion (CTE) of fibre reinforced composites are very important parameters in the design and analysis of composite structures. Since the CTE of polymer matrix are typically much higher than those of fibres, and the fibres often exhibit anisotropic thermal and mechanical properties, the stress induced in composites due to temperature change is very complex. For the purpose of calculating the CTE of unidirectional composites, analy
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