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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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