Direct numerical predictions for the elastic and thermoelastic properties of short fibre composites

Abstract In this paper we compare the predictions of the thermoelastic properties of misaligned short glass fibre reinforced composites, calculated using the finite-element-based numerical approach of Gusev, with experimental measurements. Characterisation of the microstructure of the two injection moulded materials chosen for examination, in particular the fibre length and fibre orientation distributions, were used to ensure that the computer models were built with the same microstructure as the ‘real’ materials. Agreement between the measurements, in particular for the longitudinal Young's modulus E 11 and the longitudinal and transverse thermal expansion coefficients, α 1 and α 2 , and the numerical predictions was found to be excellent. A comparison was also made with the most commonly used micromechanical models available from the literature. The approaches of Tandon and Weng, Takao and Taya and McCullough [Polym Comp 5 (1984) 327; J Comp Mater 21 (1987) 140] were found to give good agreement with both the numerical and measured values, although only the numerical approach showed the same relationship between α 1 and the degree of orientation as shown by the real materials.

[1]  I. Ward Optical and Mechanical Anisotropy in Crystalline Polymers , 1962 .

[2]  Charles L. Tucker,et al.  Stiffness Predictions for Unidirectional Short-Fiber Composites: Review and Evaluation , 1999 .

[3]  J. Whitney,et al.  The Laminate Analogy for 2 and 3 Dimensional Composite Materials , 1971 .

[4]  G. P. Tandon,et al.  The effect of aspect ratio of inclusions on the elastic properties of unidirectionally aligned composites , 1984 .

[5]  Yousef Saad,et al.  Iterative methods for sparse linear systems , 2003 .

[6]  A. A. Gusev Representative volume element size for elastic composites: A numerical study , 1997 .

[7]  M. Bevis,et al.  Shear controlled orientation technology for the management of reinforcing fibres in moulded and extruded composite materials , 1996 .

[8]  Andrei A. Gusev,et al.  Numerical Identification of the Potential of Whisker- and Platelet-Filled Polymers , 2001 .

[9]  J. D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[10]  Andrei A. Gusev,et al.  Numerical simulation of the effects of volume fraction, aspect ratio and fibre length distribution on the elastic and thermoelastic properties of short fibre composites , 2002 .

[11]  I. Ward,et al.  Modelling the elastic properties of fibre-reinforced composites: II theoretical predictions , 1993 .

[12]  Suresh G. Advani,et al.  The Use of Tensors to Describe and Predict Fiber Orientation in Short Fiber Composites , 1987 .

[13]  T. Ito,et al.  Glass fiber/polypropylene composite laminates with negative coefficients of thermal expansion , 1999 .

[14]  M. Taya,et al.  The Effect of Variable Fiber Aspect Ratio on the Stiffness and Thermal Expansion Coefficients of a Short Fiber Composite , 1987 .