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By G. Fowles, G. Cassiday

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P. 85–106. 47. Campbell FC. Structural composite materials. Materials Park: ASM International; 2010. 48. Makaremi M, De Silva RT, Pasbakhsh P. Electrospun nanofibrous membranes of polyacrylonitrile/halloysite with superior water filtration ability. J Phys Chem C. 2015;119:7949–58. 49. Govindasamy K, Pasbakhsh P, Goh KL. Current research on chitosan–halloysite composites. In: Pasbakhsh P, Churchman GJ, editors. Natural mineral nanotubes. Boca Raton: CRC Press; 2015. p. 498. 50. Goh KL, Meakin JR, Aspden RM, Hukins DWL.

1 Introduction The previous chapter described how the fibre thickness and length play an important role in directing the fracture stress of the fibre from an atomic perspective. The purpose of this chapter was to indicate the basic concepts related to the physical properties of the fibres and matrix at the fibre length scale and how these properties connect to the bulk properties of the DFRC. These properties are grouped under two categories, namely structure and material properties. In this book, the basic concepts related to the structure of a DFRC are concerned with fibre slenderness and shape, fibre–fibre separation and fibre orientation.

Setting bE = 1 in Eq. 19) gives E ¼ Ef Vf þ Em Vm ; ð2:20Þ which is identical to Eq. 12). The expression of E in Eq. 20) is often identified with the upper limit to the stiffness of the DFRC [1, 2]. With regards to the efficiency of reinforcement arising from fibre orientation, one finds bE * η; the case of bE = 1 applies when all the fibres are aligned in the direction of the applied 36 2 Physical Properties of Fibres and Matrix load. As previously indicated in Sect. 1, in this book, the fibres are always assumed to be aligned, in parallel, to the loading direction.

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