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Coherent wave propagation in solids containing spatially varying distributions of finite-size cracks

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Ultrasonic Wave Propagation in Non Homogeneous Media

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 128))

Abstract

Multiple scattering results usually concern uniform distributions of scatterers. In this work, we evaluate the propagation of SH coherent waves through a non-uniform distribution of parallel flat cracks. The spatial variation of distribution is taken into account via replacing a heterogeneous medium by a stack of effective homogenous layers. Propagation in each layer is governed by the effective acoustic impedance and the effective wave number, which are derived by considering cracks as finite-size scatterers. On this basis, the reflection and transmission coefficients due to non-uniformly distributed scatterers are calculated by using the transfer matrix method. Effect of the distribution profiles is also investigated.

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Correspondence to C. Aristégui .

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© 2009 Springer-Verlag Berlin Heidelberg

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Aristégui, C., Caleap, M., Poncelet, O., Shuvalov, A.L., Angel, Y.C. (2009). Coherent wave propagation in solids containing spatially varying distributions of finite-size cracks. In: Leger, A., Deschamps, M. (eds) Ultrasonic Wave Propagation in Non Homogeneous Media. Springer Proceedings in Physics, vol 128. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89105-5_37

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