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The chemistry, manufacture, and tensile behavior of polyamide fibers  397


                                            Core
                                                     Crack
                                   Skin            propagation
                                                      path


















           Figure 12.32 Crack propagation path in typical polymeric fiber skin (Kausch, 1985).


           relaxation processes in crystalline and noncrystalline regions. Lim et al. (1989)
           confirmed that the existence of an anisotropic phase in a polymer is critical to the for-
           mation of fibrils. They also discussed how an anisotropic material possesses intrinsic
           low entropy characteristics, which are reminiscent of fibrillar structures. Cook and
           Gordon (Atkins and Mai, 1985; Cook and Gordon, 1964) determined the stress
           components at the crack tip in an anisotropic solid and confirmed that the crack prop-
           agates in the direction that displays the least material strength.
              A typical crack propagation path of an oriented polymer, provided by Kausch
           (1985), is shown in Fig. 12.32.
              Polyamide fibers are characterized as a transversely isotropic polymer. In essence,
           as molecular orientation in the fiber direction increases, initial modulus in the axial
           direction increases dramatically. The converse to this statement also holds true, in
           that the initial modulus measured in the transverse direction decreases as the molecular
           orientation increases along the fiber axis (Steven, 1995). The tensile modulus, when
           measured perpendicular to the chain direction, is considerably lower because of the
           weak secondary van der Waals’ bonds between the chains.
              Hadley et al (Ward and Hadley, 1993; Hadley et al., 1969) determined the five
           elastic constants for oriented filaments of PA 66, where the orientation was determined
           in terms of draw ratio and optical birefringence. Further studies showed that X-ray
           diffraction measurements were also pertinent to the determination of mechanical
           anisotropy. Murthy et al. (1995) examined the effects of drawing and annealing on
           anisotropy in PA 6 fibers using X-ray diffraction and other methods. In agreement
           with the results from Ward and Hadley (1993), they confirmed that the distinct rami-
           fications of the drawing process increases crystallinity, crystalline perfection, and
           molecular orientation. In addition, they determined that the anisotropy in the amor-
           phous region increases with increasing draw ratio.
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