Page 329 - Engineered Interfaces in Fiber Reinforced Composites
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310               Engineered interfaces in fiber reinforced composites
                    Table 7.4 (Contd.)

                    Matrices                            CTEs (x IO-'  K-')
                    Polymers
                    Epoxies                             55-90
                    Polyester                           50-  IO0
                    Phenolfomaldehyde                   26-60
                    High density polyethylene (HDPE)    150-300
                    Polypropylene (PP)                  100-300
                    Polytetrafluoroethylene (PTFE)      70-100
                    Polymethylmethacrylate (PMMA)       54-72
                    Polyamide (PA, Nylon 6,h)           80-95
                    Polysulfone (PS)                    56
                    Polyethersulfone (PES)              55
                    Polyetherimide                      62
                    Polyamideimide                      63
                    Polyphenylenesulfide                54
                    Polyetherketone                     47
                    Liquid crystal polymer (Vectra)     -5-75
                    Metals
                    Steels (0.9% C)                     12
                    Copper                              17
                    Nickel                              13
                    Aluminum and alloys                 22-24
                    Titanium and alloys                  8-9
                    Ceramics
                    A1203                               8.5
                     Sic                                4.3
                     Borosilicate glass                 4.0
                     Soda glass                         8.5
                     Si3N4                              3.2
                    ZrA                                 8.0


                     (i.e. aCL < ~1,~)  because fibers in general have lower CTEs than matrix materials. At
                     a  low  fiber volume  fraction,  the  CTEs  of  unidirectional  fiber composites in  the
                     transverse  direction,  aC~, tend  to  be even greater  than  the  CTEs  of  bulk  matrix
                     materials, a,.  This is due to the fact that the long stiff fibers prevent the matrix from
                     expanding in  the  fiber axial  direction,  forcing  the  matrix  to  expand  more  in  the
                     transverse direction.
                       Three-dimensional  distributions  of  the micro-residual  stresses are very  compli-
                     cated, and are affected by the elastic properties, local geometry and distribution of
                     the composite constituents within a ply. Many analytical (Daniel and Durelli,  1962;
                     Schapery,  1968; Harris,  1978; Chapman et al.,  1990; Bowles and Griffin, 1991a, b;
                     Sideridis,  1994)  and  experimental  (Marloff  and  Daniel,  1969;  Koufopoulos  and
                     Theocaris,  1969; Barnes et al.,  1991; Barnes  and Byerly,  1994) studies have been
                     performed  on  residual  thermal  stresses.  A  two-dimensional  photoelastic  study
                     identified that the sign and level of the residual stresses are not uniform within the
                     composite, but are largely dependent on the location  (Koufopoulos and Theocaris,
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