Incompressibility and guided waves in anisotropic layered materials

James A. Sotiropoulos; E. Babatsouli

doi:10.1117/12.469908

11 June 2002 Incompressibility and guided waves in anisotropic layered materials

James A. Sotiropoulos, E. Babatsouli

Proceedings Volume 4702, Smart Nondestructive Evaluation for Health Monitoring of Structural and Biological Systems; (2002) https://doi.org/10.1117/12.469908
Event: NDE For Health Monitoring and Diagnostics, 2002, San Diego, California, United States

Abstract

The effect of incompressibility of a layer on the propagation of guided elastic waves in anisotropic layered materials is examined. The layer is either overlying a half-space (host material) or is imbedded in an infinite host material, which is compressible. To gain an understanding of the propagation characteristics and their dependence on the material parameters the mathematically tractable case of material orthotropy is considered. The strain energy of the two materials is otherwise arbitrary. For propagation along a material axis of symmetry the dispersion equation is obtained in an explicit form when the axes of symmetry of the two materials coincide and one of them is normal to the plane separating the layer from the host material. Analysis of the dispersion equation reveals the propagation characteristics of interfacial waves and their dependence on the material parameters. Propagation occurs either in single or multiple modes depending on the material parameters of both the layer and the host material. For a thin layer the guided wave phase speed is obtained in explicit form in terms of the material parameters. Parameter conditions are also defined under which the generation of guided waves is not permitted by the structure.

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James A. Sotiropoulos and E. Babatsouli "Incompressibility and guided waves in anisotropic layered materials", Proc. SPIE 4702, Smart Nondestructive Evaluation for Health Monitoring of Structural and Biological Systems, (11 June 2002); https://doi.org/10.1117/12.469908

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KEYWORDS

Wave propagation

Waveguides

Mathematics

Solids

Ultrasonics

Interfaces

Natural surfaces

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