Paper
24 July 2001 Propagation characteristics of guided waves in layered elastic orthotropic materials
James A. Sotiropoulos, Sudhakar Nair
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Abstract
The propagation of guided elastic waves in an orthotropic compressible layer imbedded in a difference orthotropic compressible material is examined. The strain energy of the two materials is otherwise arbitrary with the material constants satisfying the strong ellipticity conditions. To extract the propagation characteristics, propagation is considered along a material axis of symmetry which lies in the interfacial plane. For the two materials having common axes of symmetry, the dispersion equation is derived in explicit form. Analysis of the dispersion equation reveals the propagation characteristics and their dependence on frequency and material parameters. Low and high-frequency asymptotes are defined and their existence is discussed, the high frequency asymptote corresponding to a Stoneley wave. For low frequencies, the interfacial wave speed is derived in explicit form yielding a simple material parameter condition for the existence of interfacial waves.
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James A. Sotiropoulos and Sudhakar Nair "Propagation characteristics of guided waves in layered elastic orthotropic materials", Proc. SPIE 4335, Advanced Nondestructive Evaluation for Structural and Biological Health Monitoring, (24 July 2001); https://doi.org/10.1117/12.434197
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KEYWORDS
Wave propagation

Waveguides

Solids

Interfaces

Signal processing

Mathematics

Nondestructive evaluation

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