Page 331 - Fiber Fracture
P. 331

FRACTURE OF NATURAL POLYMERIC FIBRES                                 313

             molecules are extended, aligned, and less tangled, and which provides little resistance to
             cracks propagating parallel to the length of the molecules.
                The amorphous matrix phase in spider dragline silk can be likened to rubber (Gosline
             et  al.,  1984). Such elastomeric behaviour is  promoted if  water is  available to  swell
             the  amorphous regions in  the  silk microstructure. (Dragline silks undergo  a marked
             shape change when immersed in water (Work, 1981, 1985; Work and Morosoff, 1982;
             Fornes  et  al.,  1983; Gosline  et  al., 1984,  1995) or  salt  solutions  (Vollrath et  al.,
              1996.) The radial swelling, to as much as twice the original thickness, is accompanied
             by  an  axial  shrinkage of  up  to  40% of  the  original  length;  this  dramatic effect  is
             therefore known as supexontraction.) Many other silks, for example the textile fibre
             harvested from the cocoons of  Bombyx mori (domesticated) silkworms, do not exhibit
             significant supercontraction in  water,  but  they  nevertheless can  also be  regarded  as
             elastomers (Gosline et al.,  1994). This description is relevant when we come to address
             the  statistical brittleness  of  silk  (the  section  ‘The Statistical Basis  of  Fibre  Failure
             Analysis’). It helps us to interpret the observation (PCrez-Rigueiro et al., 2001; Garrido
             et  al.,  2002)  that  the  breaking stress  of  silk  (recorded at  high  strain)  is  much  less
             reproducible than the yield stress (recorded at low strain).


             In a Hierarchical Fibre Microstructure, Molecules That Have ‘Melted’ Can Continue
             to Carry Loads Usefully

                From everyday experience of conventional materials, we may come to expect that
             disordering  of  a  microstructure will  always  lead  to  a  loss  of  reinforcement and  a
             reduction or  even  failure of  load-bearing ability.  In  fact, this  combination of  cause
             and  effect has  some  notable  exceptions, none  more  significant than  the  contractile
             mechanism of muscle (Pollack, 1990,2001).
                We are again dealing with a useful consequence of hierarchical structure in a fibrous
             material, and of  the attendant anisotropic distribution of primary and secondary bonds.
             There  are  two  fibrous  materials  in  muscle:  actin  (already  described  in  the  section
              ‘Primary and  Secondary  Bonds  Can  Have  Direct,  Distinguishable, Complementary
             Effects on Fibre Mechanical Properties’) and myosin. The myosin-containing filaments
             consist  of  bundles of  rod-like  structures, where  each  rod  is  a  supramolecular helix
             (supercoil, or coiled coil) assembled from two a-helical  protein  strands (Fig. 3). The
             helical structure is able to locally and reversibly transform to a random one, triggered
             by  one  of  several environmental signals that  can  include a change in  local packing
             constraints, a  change in  pH,  or  a change in  the  concentration of  various  salts. This
             local  conformational change  leads  to  a  contraction  in  rod  length  (Fig.  3).  It  does
             not  involve any breaking of  primary bonds; it merely requires a local rearrangement
             in the number and distribution of protein-protein  and protein-environrnent secondary
             bonds. Because the myosin in muscle is interconnected (by non-covalent associations),
             and is further supported by  actin-containing filaments, the molecular-level contraction
             leads to a corresponding macroscopic contraction of  the muscle, along a structurally
             predetermined direction. Although the random coil conformation in myosin is similar
             to the conformation of  flexible polymer chains in melts and solutions, its localisation
             to particular regions within a hierarchical fibre means that the controlled contraction
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