Page 131 - Mechanics Analysis Composite Materials
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116                 Mechanics and analysis of composite materials

                                      E,,GPa
                                      2sD r
                                      200  -


                                      150  -







                                        0     1    2    3
              Fig. 3.68. Longitudinal  modulus  versus  ultimate  tensile  strain  for  advanced  epoxy  unidirectional
                                             composites.




                                                     C












                       Fig. 3.69. Typical stress-strain  diagrams for hybrid unidirectional composites.

                As ET  < El, the ply experiences a jump of strain under constant stress GI= o1(1) .
              As follows from Fig. 3.69, the final strain is







              There are two  possible  scenarios of  the  further  material  behavior  depending  on
              the relation of strain ET  and the ultimate strain of the fibers of the second type, E?).  If
              E;~E?), these fibers will  also  fail  under  stress oil), and  the material  stress-strain
              diagram corresponds to the broken line OA in Fig. 3.69. If E?)  > E:,  material will
              work up to point C in this figure. Experimental diagrams supporting this prediction
              are shown in Fig. 3.70 (Gunyaev,  1981).
                The threshold value of   indicating the minimum amount of the second-type
              fibers that is enough to withstand  the load after the failure of  the first-type fibers
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