Notes on osculations and mode tracing in semi-analytical waveguide modeling

Gravenkamp, Hauke; Plestenjak, Bor; Kiefer, Daniel A.

doi:10.1016/j.ultras.2023.107112

Cited by 6 publications

(3 citation statements)

References 49 publications

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“…The smallest attenuation (Ims n ) is observed with the smallest slownesses (Res n ). Here, we can also observe the relay transmission of guided waves due to the osculation or repulsion of modes, which was studied earlier for purely elastic laminates [64,65].…”

Section: Validation Influence Of Water Saturation On Surface Wavessupporting

confidence: 60%

Numerical Modeling of Elastic Wave Propagation in Porous Soils with Vertically Inhomogeneous Fluid Contents Due to Infiltration

Fomenko,

Jana,

Golub

2023

Mathematics

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The structure of soils is often heterogeneous with layered strata having distinct permeabilities. An advanced mathematical and numerical coupled model of elastic wave propagation in poroelastic multi-layered soils subjected to subsoil water infiltration is proposed in this study. The coupled model was based on the introduction of an inhomogeneous functionally graded fluid-saturation of the considered soil depending on the infiltration time, which was evaluated employing Richards’ equation. The time-harmonic solution was formulated in terms of the Fourier transform of Green’s matrix and the surface load that excites the vibration. The convergence and efficiency of the proposed approach are demonstrated. An example of dispersion curves for partially saturated porous strata made of loam, sand, and rock at different infiltration times is provided, and it is shown that the characteristics of the surface acoustic waves change with time, which can be further used for inverse problems’ solution.

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Section: Validation Influence Of Water Saturation On Surface Wavessupporting

confidence: 60%

Numerical Modeling of Elastic Wave Propagation in Porous Soils with Vertically Inhomogeneous Fluid Contents Due to Infiltration

Fomenko,

Jana,

Golub

2023

Mathematics

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“…For the current work, we perform the discretization using the sp ectral element method, i.e., one finite element of high polynomial order ( 47 ). This method leads to a regular Hermitian eigenvalue problem ( 48 ), which allows us to reliably compute the ZGV and TGV points in general elastic waveguides ( 24 , 31 ). We make our implementations available under the name of GEWtool ( 30 ), and it includes all required postprocessing methods to reproduce the results of this contribution.…”

Section: Methodsmentioning

confidence: 99%

“…The coupling and decoupling of wave families are of importance ( 24 , 29 , 48 , 49 ). Symmetric and antisymmetric waves decouple due to the plate’s symmetry across its midplane.…”

Section: Methodsmentioning

confidence: 99%

Beating resonance patterns and extreme power flux skewing in anisotropic elastic plates

Kiefer,

Mezil,

Prada

2023

Sci. Adv.

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Elastic waves in anisotropic media can exhibit a power flux that is not collinear with the wave vector. This has notable consequences for waves guided in a plate. Through laser-ultrasonic experiments, we evidence remarkable phenomena due to slow waves in a single-crystal silicon wafer. Waves exhibiting power flux orthogonal to their wave vector are identified. A pulsed line source that excites these waves reveals a wave packet radiated parallel to the line. Furthermore, there exist precisely eight plane waves with zero power flux. These so-called zero–group-velocity modes are oriented along the crystal’s principal axes. Time acts as a filter in the wave-vector domain that selects these modes. Thus, a point source leads to beating resonance patterns with moving nodal curves on the surface of the infinite plate. We observe this pattern as it emerges naturally after a pulsed excitation.

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Seamlessly integrated modeling platform for guided wave propagation in elastic waveguides of arbitrary cross-sections

Wang,

Shen

2025

Engineering Structures

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Notes on osculations and mode tracing in semi-analytical waveguide modeling

Cited by 6 publications

References 49 publications

Numerical Modeling of Elastic Wave Propagation in Porous Soils with Vertically Inhomogeneous Fluid Contents Due to Infiltration

Numerical Modeling of Elastic Wave Propagation in Porous Soils with Vertically Inhomogeneous Fluid Contents Due to Infiltration

Beating resonance patterns and extreme power flux skewing in anisotropic elastic plates

Seamlessly integrated modeling platform for guided wave propagation in elastic waveguides of arbitrary cross-sections

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