Page 97 - Mechanics Analysis Composite Materials
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82                  Mechanics and analysis of composite materials




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                                   Fig. 3.30.  Specimens of matrix material.














                                        C










                                  Fig. 3.31. Testing of the matrix specimen.

             ratio,  v,,  and  strength,  d,,  traditional  for material  testing  specimens and testing
             procedures  can  be  used  (see  Figs. 3.30  and  3.31).  Shear  modulus,  G,,  can  be
             calculated  with  the  aid  of  Eq. (2.57).  To  find  the  fibers  properties,  is  a  more
             complicated  problem.  There  exist  several  methods  to  test  elementary  fibers  by
             bending or stretching 10-30 mm long fiber segments. All of them are rather specific
             because of small (about 0.01  mm) fiber diameter, and, what is more important, fiber
             properties in a composite material  can be different  from those of individual fibers
             (see Section 3.2.3) with pre-assigned  lengths provided  by these methods.
               It  is  worth  to  know  the  fibers  actual  modulus  and  strength  not  only  for
             micromechanics but also to check the fibers quality before they are used to fabricate
             a  composite  part.  For  this  purpose,  a  simple  and  reliable  method  has  been
            developed to test the fibers in the actual conditions. According to this method, a fine
             tow or an assembly of fibers is carefully impregnated with resin, slightly stretched to
             avoid  fiber waviness and cured  to provide  a specimen of the so-called microcom-
             posite  material.  The microcomposite  strand is ovenvrapped  over  two discs  as in
             Fig. 3.32 or fixed in special friction grips as in Fig. 3.33 and tested under tension to
             determine  the  ultimate  tensile  force F  and  strain  E  corresponding  to  some  force
            F < F. Then, the resin is removed  by burning it out, and the mass of fibers being
             divided by the strand length and fiber density yields the cross-sectional area of fibers
             in the strand, Af. Fiber strength and modulus can be calculated as
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