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Wave propagation in multilayered anisotropic solids. (English) Zbl 1210.74093
Summary: Time-harmonic wave propagation is investigated in multilayers given by a sequence of inhomogeneous layers separated by discontinuity surfaces. The equations governing the dynamics of solids are considered through a system in a Stroh-like form. Next a wave-splitting procedure is applied which is based on the use of the eigenvectors of the matrix associated with the system. The reflection and transmission matrices are defined. Their jumps at a discontinuity surface are derived as well as the (Riccati) evolution equations in smooth domains. The reflection and transmission matrices of a multilayer are obtained. By way of application, different configurations of an isotropic multilayer are considered along with the limit case of a thin layer through the Riccati equation. The generality of the approach allows for dissipative materials without any restrictions to material symmetries.

74J10 Bulk waves in solid mechanics
74E10 Anisotropy in solid mechanics
74J20 Wave scattering in solid mechanics
Full Text: DOI
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