Page 357 - Mechanics Analysis Composite Materials
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342                 Mechanics and analysis of composite niateriab
                              q.-Iso-


                              l

                             0.8


                             0.6


                             0.4


                             0.2

                              0 -Ei,Jlmm
                                0     5     10    15    20
            Fig. 7.33.  Dependence  of  compression  strength  after  impact  normalized  to  the  initial  compressive
            strength on the impact energy related to the plate thickness for glass fabric-epoxy  (I),  and unidirectional
                             glass-epoxy (2) and carbon-epoxy  (3) composite plates.


                                               h
                                       I-              -1















                                  Fig. 7.34.  Laminate under impact load.


              Consider first a homogeneous layer such that E, and p do not depend on z. Then,
            Eq. (7.58) acquires the form





            where  c2 = E,/p.  Transform  this  equation  introducing  new  variables,  Le.,  XI  =
            z + ct and x2  = z - ct. Performing traditional  transformation  we  arrive at
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