Propagation of elastic waves in a fluid-loaded anisotropic functionally graded waveguide: Application to ultrasound characterization of cortical bone
Non-destructive evaluation of heterogeneous materials is of major interest not only in industrial but also in biomedical fields. In this work, the studied structure is a three-layered one: a laterally heterogeneous anisotropic solid layer is sandwiched between two acoustic fluids. An original method is proposed to solve the wave equation in such a structure without using a multilayered model for the plate. This method is based on an analytical solution, the matricant, explicitly expressed under the Peano expansion form. We validate this approach for the study of a fluid-loaded anisotropic plane waveguide with two different fluids on each side. This configuration corresponds to the axial transmission technique to the ultrasound characterization of cortical bone in vivo.
KeywordsWave Equation Cortical Bone Dispersion Curve Acoustical Society Functionally Grade Material
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