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Extra info for Animal Legends and Creation. Legends from Australia (Aboriginal), Iceland and canada

Example text

Originally the Frenkel model was derived for metals and ionic solids. In these materials the dimensions of p and dc are in fact the distances between neighbouring atoms. Therefore, they are several orders of magnitude smaller than the size of the crystallites, which are usually larger than 1 mm. Thus, in these materials the crystalline order is almost perfect compared to that in the polymer fibres. The intrinsic imperfections in polymer fibres are due to the chain length distribution and the flexibility of the chain.

35. For partially bonded chains the tensile and shear stresses become ΄ ΅ cosh(2ay/u0) s (y) = ece 1 – 9922 cosh(auc/u0) for 0 ≤ |y| ≤ –2 uc (74a) s (y) = 0 for –12 uc ≤ |y| ≤ –12 u (74b) sinh(2ay/u0) 1 t (y) = –2 mece 9922 sinh(auc/u0) for 0 ≤ |y| ≤ –2 uc (75a) t (y) = 0 for –12 uc ≤ |y| ≤ –12 u (75b) 1 and 1 In Eqs. 74a, 74b, 75a and 75b the quantity uc equals the bonded length of the chain. These relations are almost equal to Eqs. 69 and 70, except for the bonded length uc which replaces the total length u.

33 The observed data for PpPTA yarns showing the relation between the strength and the concentration of the spinning solutions. Drawn lines have been calculated with Eqs. 26, 42, 43, 45, 59, 61a, 61b and 62 that can easily be tested. Figures 33 and 34 compare the theoretical curves between the strength and the concentration with the experimental data of PpPTA and poly(p-benzanilide terephthalamide), or DABT, respectively. The data confirm that high-strength fibres are obtained by spinning at high concentrations of the spinning solution.

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