Page 319 - Engineered Interfaces in Fiber Reinforced Composites
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300               Engineered interfaces in fiber reinforced composites
                      Finite element  analysis  has  been  a popular  tool for examining the mechanical
                    response of coated fiber composites (Fan and Hsu, 1992; Daabin et al., 1992; Mital
                    et al.,  1993; Daoust et al., 1993; Kim et al.,  1994b; Kim and Mai,  1996a; Ho and
                     Drzal,  1995a, b).  The  use  of  the  finite element  method  allows  a  more  accurate
                    description of the interactions between neighboring  fibers in practical  composites
                     containing multiple fibers, and especially of the interface shear stress fields near the
                     singularity. The presence of an elastomeric soft interlayer  reduced the shear stress
                     concentration  at the fiber ends,  and  thereby  reducing  the  load  transfer  efficiency
                     (Daoust  et  al.,  1993), and  this  effect  became  more  prominent  as  the  interlayer
                     thickness  increased.  Increasing  Young’s  modulus  of  the  fiber  increased  the  load
                     transfer  of  the fiber  at  the  expense of  increasing  shear  stress  at  the  interphase;
                     whereas  increasing  the Young’s modulus  of  the matrix  had  exactly the  opposite
                     effect (Daabin,  1992).
                       On the contrary, when  the interphase is stiffer than the matrix  material  as for
                     some uncoated carbon-poxy  systems, increasing the interphase modulus does not
                     always increase the efficiency of stress transfer, and there  is an optimum  Young’s
                     modulus ratio of the interphase to the matrix (Ho and Drzal  1995a, b). Increase in
                     the interphase thickness was found to have a much larger effect on the interphase
                     shear stress distribution than on the fiber axial stress for both compliant and brittle
                     interphases. It was also noted  that the maximum  shear stress at the fiber-coating
                     interface was larger than the coating-matrix  interface, which was later confirmed for
                     a  carbon-epoxy  system (Kim et al.,  1994b). Energy distribution  within  the single
                     fiber composite and the strain energy release rate for interfacial crack propagation
                     has also been analyzed (Di Anselmo et al.,  1992) using finite element method. The
                     presence of a compliant interlayer between fiber and matrix resulted in a lower strain
                     energy release rate, an indication of enhanced fracture toughness of the composite.
                     Based on a shear-lag model  for CMCs, crack  propagation  was studied  across the
                     fiber as opposed  to interfacial  debonding  (Popejoy  and  Dharani,  1992). Coating
                     thickness was found to have little effect on crack growth although the interfacial
                     debonding was slightly favored when the thickness was small, an indication of high
                     fracture toughness of CMCs with the thinnest possible coating.
                       In summary, based on the previous studies as reviewed above, the variables which
                     affect most the mechanical performance of composites have been identified:
                       (1) Type and nature of interlayer.
                       (2) Modulus, CTE and glass transition temperature of interlayer.
                       (3) Thickness of interlayer.
                       (4) Modulus of matrix relative to interlayer.
                       (5) Interaction at the interface region.

                     7.3.2. Engineered  interface concepts  with fiber coating

                       It is shown in Section 7.2 that the PVAL coating applied onto Kevlar and carbon
                     fibers is potentially beneficial for improving the transverse fracture toughness of the
                     composites made therefrom.  Encouraged  by  this  promising  result,  further studies
                     were conducted on the effects of the compliant interlayer on the stress distributions,
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