Page 291 - Mechanics Analysis Composite Materials
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276                 Mechanics and analysis of composite materials


















                                0   40   80   120  160  200  240  280

             Fig. 6.7.  Failure envelope for glass-epoxy fabric composite in plane (01,   ~12).(-)   maximum stress
                                  criterion, Eqs. (6.2); (0) experimental data.
             the  accuracy determined by  the  scatter  of  experimental results.  As  was  already
             noted,  this criterion ignores the interaction of stresses. However, this interaction
             takes  place  in  fabric  composites  which  are  loaded  with  compression  in  two
             orthogonal  directions,  because  compression  of  the  filling  yarns  increases  the
             strength  in  the  warp  direction  and  vice  versa.  The  corresponding experimental
             results from Belyankin et al. (1971) are shown in Fig. 6.8. As can be seen, there is a
             considerable deviation  of  experimental data  from  the  maximum  stress criterion
             shown with solid lines. However, even in such cases this criterion is sometimes used
             to  design  composite  structures,  because  it  is  simple  and  conservative, i.e.,  it
             underestimates material strength increasing the safety factor for the structure under
             design. There exist fabric composites for which the interaction of normal stresses
             shows itself under tension as well.  An example of such a material is presented in


                                 02,MPa
                                -120

                                -100                   \
                                                       \
                                                        \
                                 -80                    Y)
                                                        I
                                 -60                    I
                                                        I
                                 -40                    Io
                                                       I
                                 -20                   10
                                                       I
                                 0                     - o,,MPa
                                   0   -20  -40  -60  -80  -100 -120
              Fig. 6.8.  Failure envelope for glass-phenolic  fabric composite loaded with compression in plane (ul,u2).
             (-)maximum    stress criterion,Eqs. (6.2); (- ---)  polynomialcriterion,Eqs. (6.15); (0) experimental
                                               data.
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