Page 297 - Fiber Fracture
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FRACTURE OF HIGHLY  ORIENTED, CHAIN-EXTENDED POLYMER FIBRES          279

                                              Crack propagation path
                            Skin      Core  I



























                            Fig.  13. Tensile failure model due to Morgan et al. (1982).


           occasionally jump to the right at what presumably represent the ends of molecules. In
           the  middle  of  the  core,  a lining-up  of  chain  ends  leads  to  a longer  transverse  crack,
           and on the right the crack becomes purely axial. I am sceptical about attempts at such
           interpretations  at the  molecular level. The  structure is not  well enough  known.  Long
           axial breaks, Yang’s type (a) and (b), without transverse cracks except perhaps at the tip
           of a split, are more commonly observed. Where there are transverse cracks as part of a
           break, they are probably due to kink-band damage. But, although I can raise questions, I
           cannot provide detailed answers.

           Time and Temperature

             The  strength  of  highly  oriented,  chain-extended  polymer  fibres  is  time-  and
           temperature-dependent,  and,  in  principle,  responses  can  be  predicted  by  statistical
           mechanics. Fig.  14 compares  experimental  results  with the theoretical  predictions  of
           Termonia and Smith (1986). The agreement is good. The Monte Carlo methods used in
           this and later studies are described in the paper by Termonia (this volume).
             The  model in  Termonia and  Smith  (1986) is for  “ideal  fibres made  of  a perfectly
           oriented  array  of  fully  extended  macromolecules,  with  no  other  defects  than  chain
           ends resulting from finite molecular weight”. Parameters defining the primary covalent
           bonding  and  the  secondary  hydrogen  bonding  are  applied  to  a  system  “modelled  as
           a three-dimensional  array of bonds  which are viewed as coupled  oscillators in a state
           of  constant  thermal  vibration”.  I  have  no  difficulty in  accepting  this  as a reasonable
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