Abstract
Six is the number of fibre orientations necessary and sufficient to remove all zero-valued shear moduli from fibre arrays that have cubic symmetry. Of particular interest is a weave, of just four families of flexible fibres, that has equal numbers of equal fibre lengths parallel to the six face diagonals of a cube. The relative positions of fibre lengths in this weave can be visualised as the edges of space-filling equilateral truncated octahedra.
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References
Griffith AA (1924) The theory of rupture. 1st Intl. Conf. Appl. Mech., Delft, pp 55–63
Orowan E (1948–1949) Rep Prog Phys XII:185
Ashbee KHG (1998) Three-dimensional fiber weave with cubic symmetry and no zero-valued shear moduli. United States Patent Number 5,804,277, Date of Patent: Sep 8
Parkhouse JG, Kelly A (1998) Proc R Soc A454:1889
Acknowledgements
This work began in 1994 with a Royal Society Research grant (RSRG 13638), continued in 1995 with a grant in aid of research (RF & G/10681) from The Leverhulme Trust, and was subsequently supported in-house by the Materials Directorate, Wright Laboratory, US Air Force Base, Dayton, OH. Figures 4 and 5 were drawn by Mecca Brzeczek, Wright Laboratory Graphics.
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Ashbee, K.H.G. Moving away from anisotropic lay-ups; modelling of 3D preforms & weaves. J Mater Sci 41, 6520–6525 (2006). https://doi.org/10.1007/s10853-006-0186-5
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DOI: https://doi.org/10.1007/s10853-006-0186-5