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3 April 2013 Acoustic impedance matching using dynamic homogenization of periodic composites
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In this paper we present a method to design composites which are acoustically impedance matched with a homogeneous medium at a desired frequency. We use dynamic homogenization of layered elastic composites to calculate their effective acoustic impedance. It is shown that the microstructure of a layered composite can be designed so that its acoustic impedance matches the impedance of the homogeneous medium at the desired frequency. As a result, the reflection at the interface of such a composite with the homogeneous medium is minimized. Transfer matrix calculation and finite element modeling of wave propagation through a layered periodic composite sandwiched between two homogenous media are done. It is observed that at the design frequency where the composite has matched impedance with homogenous media the reflection at the interfaces is almost zero.
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H. Sadeghi, A. Srivastava, and S. Nemat-Nasser "Acoustic impedance matching using dynamic homogenization of periodic composites", Proc. SPIE 8689, Behavior and Mechanics of Multifunctional Materials and Composites 2013, 86891A (3 April 2013);

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