an:05882682
Zbl 1210.74093
Caviglia, G.; Morro, A.
Wave propagation in multilayered anisotropic solids
EN
Int. J. Eng. Sci. 38, No. 8, 847-863 (2000).
00277735
2000
j
74J10 74E10 74J20
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.