Guided Wave Propagation in a Layered Half-Space Structure of Anisotropic Materials

Dao, Duy Kien; Le, Ductho; Le, Quang Huy; Nguyen, Minh Tuan; Phan, Hoc; Chinh, Pham Duc

doi:10.1109/gtsd50082.2020.9303064

Cited by 1 publication

(1 citation statement)

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“… 22 Preliminary results on the progress involved in the current work have also been reported by the authors. 26 The rest of the paper is organized into four sections. The main purpose of Section 2 is to propose explicit expressions of Rayleigh waves propagating in an orthotropic layered half-space.…”

Section: Introductionmentioning

confidence: 99%

Elastodynamic response of an orthotropic layered elastic half-space to time-harmonic loading

Nguyen

Quy

et al. 2022

Science Progress

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The elastodynamics of an orthotropic half-space coated by a thin orthotropic layer is theoretically investigated in this article. We newly propose explicit expressions of free Rayleigh waves in a layered half-space that are dependent on only one unknown constant representing amplitude. The main contribution is on deriving, in a simple manner, the theoretical predictions of far-field Rayleigh wave motion arising from time-harmonic loads using elastodynamic reciprocity theorems. These are the very first closed-form exact solutions found for the forced motion of Rayleigh waves in a layered half-space of orthotropic materials. To demonstrate the theoretical results, computation of Rayleigh wave motion in a jointed rock, including a layer of quartz-schist and a half-space of soil, is considered. We present the phase and group dispersion curves superimposed with the amplitude spectra that provide useful information on wave modes, frequencies, and displacement amplitudes. The inclusion of the amplitude spectra in the dispersion curves is a significant improvement over other dispersion curves currently available in the literature. The analytical predictions are compared with numerical results found by finite element analysis, and they show excellent agreement for the cases of a uniform distributed load and a varying distributed load both applied over a strip on the layer surface. The calculations obtained in the current study could generally be very useful for applications in seismology and materials characterization of coated structures.

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Section: Introductionmentioning

confidence: 99%