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4.10.1  Mechanical Impedance



                           Mechanical impedance is one of the crucial aspects that should be considered

                   when analysing the dynamic properties of composite materials. In general, mechanical

                   impedance presents the ratio of the force on a system which is undergoing simple
                   harmonic  motion  to  the  velocity  of  the  particle,  indicating  the  capability  of  the

                   structures in resisting harmonic force. Thus, it is compulsory to obtain the mechanical

                   impedance in SHPB testing of the tested specimens as well as the Hopkinson bars,
                   especially when dealing with low impedance materials. This is due to most of the

                   incident waves would be reflected at the interface. Mechanical impedance,    and wave
                   velocity,      of  the  Hopkinson  bars  and  the  specimens  can  be  determined  using
                                
                   Equation 4.3 [167–168] ;




                                                        =    x    x                             (4.3)
                                                                    


                   Where ;


                        - Cross-sectional area of the specimen
                        - Density of the specimen

                       - Wave velocity of specimen
                       



                   wave velocity,      can be determined using Equation 4.4;
                                      

                                                                 
                                                           = √                                  (4.4)
                                                           
                                                                 


                   Where;


                      - Young’s modulus of specimen

                      - Density of specimen





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