Inverse characterization of plates using zero group velocity Lamb modes

Grünsteidl, Clemens; Murray, Todd W.; Berer, Thomas; Veres, István A.

doi:10.1016/j.ultras.2015.10.015

Cited by 56 publications

(15 citation statements)

References 11 publications

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“…At these zero group velocity (ZGV) frequencies, sharp and local resonance effects are observed. The sensitivity of the ZGV modes has been exploited for precise local plate thickness measurements 35 , for absolute and local measurements of the Poisson's ratio of several isotropic media 36,37 , or to highlight the anisotropic constitutive behaviour of bulk silicon 38 . Recent studies also reported on the mechanical characterisation of complex nanoscale structures such as lowdensity nanoporous gold foams 39 or nanoscale bilayers consisting of a silicon-nitride plate coated with a titanium film 40 .…”

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confidence: 99%

Laser-excited elastic guided waves reveal the complex mechanics of nanoporous silicon

et al. 2021

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Nanoporosity in silicon leads to completely new functionalities of this mainstream semiconductor. A difficult to assess mechanics has however significantly limited its application in fields ranging from nanofluidics and biosensorics to drug delivery, energy storage and photonics. Here, we present a study on laser-excited elastic guided waves detected contactless and non-destructively in dry and liquid-infused single-crystalline porous silicon. These experiments reveal that the self-organised formation of 100 billions of parallel nanopores per square centimetre cross section results in a nearly isotropic elasticity perpendicular to the pore axes and an 80% effective stiffness reduction, altogether leading to significant deviations from the cubic anisotropy observed in bulk silicon. Our thorough assessment of the wafer-scale mechanics of nanoporous silicon provides the base for predictive applications in robust on-chip devices and evidences that recent breakthroughs in laser ultrasonics open up entirely new frontiers for in-situ, non-destructive mechanical characterisation of dry and liquid-functionalised porous materials.

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confidence: 99%

Laser-excited elastic guided waves reveal the complex mechanics of nanoporous silicon

et al. 2021

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“…Also, an interesting feature shows up at 102 Hz where the branches A1 and A * 2 nearly meet each other. In a nondissipative system, one expects the two branches to connect, thus yielding a singular point associated with a ZGV, a phenomenon which has been previously observed in rigid plates (37)(38)(39)(40)(41). Here, because the propagation is damped by viscous mechanisms, the connection does not strictly occur, the reason why we talk about the pseudo-ZGV mode, but as we will see below similar wave phenomena still exist in the presence of damping (see SI Appendix, Fig.…”

Section: Significancementioning

confidence: 67%

Dirac cones and chiral selection of elastic waves in a soft strip

Lanoy

Lemoult

Eddi

et al. 2020

Proc. Natl. Acad. Sci. U.S.A.

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We study the propagation of in-plane elastic waves in a soft thin strip, a specific geometrical and mechanical hybrid framework which we expect to exhibit a Dirac-like cone. We separate the low frequencies guided modes (typically 100 Hz for a 1-cm-wide strip) and obtain experimentally the full dispersion diagram. Dirac cones are evidenced together with other remarkable wave phenomena such as negative wave velocity or pseudo-zero group velocity (ZGV). Our measurements are convincingly supported by a model (and numerical simulation) for both Neumann and Dirichlet boundary conditions. Finally, we perform one-way chiral selection by carefully setting the source position and polarization. Therefore, we show that soft materials support atypical wave-based phenomena, which is all of the more interesting as they make most of the biological tissues.

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“…At these zero group velocity (ZGV) frequencies, sharp and local resonance effects are observed. The sensitivity of the ZGV modes has been exploited for precise local plate thickness measurements [32], for absolute and local measurements of the Poisson's ratio of several isotropic media [33,34], or to highlight the anisotropic constitutive behaviour of bulk silicon [35]. Recent studies also reported on the mechanical characterization of complex nanoscale structures such as low density nanoporous gold foams [36] or nanoscale bilayers consisting of a silicon-nitride plate coated with a titanium film [37].…”

Section: Introductionmentioning

confidence: 99%

Laser-Excited Elastic Guided Waves Reveal the Complex Mechanics of Nanoporous Silicon

Thelen,

Bochud,

Brinker

et al. 2020

Preprint

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Nanoporosity in silicon leads to completely new functionalities of this mainstream semiconductor. A difficult to assess mechanics has however significantly limited its application in fields ranging from nanofluidics and biosensorics to drug delivery and energy storage. Here, we present a study on laser-excited elastic guided waves detected contactless and non-destructively in dry and liquid-infused single-crystalline porous silicon. These experiments reveal that the self-organized formation of 100 billions of parallel nanopores per square centimeter cross section results in an isotropic elasticity perpendicular to the pore axes and an 80% stiffness reduction in the material, despite a bulk-like and anisotropic pore-wall elasticity. Our complete assessment of the waferscale mechanics of nanoporous silicon provides the base for predictive applications in robust on-chip devices and evidences that recent breakthroughs in laser ultrasonics open up entirely new frontiers for in-situ, nondestructive mechanical characterisation of dry and liquid-functionalised porous materials.

show abstract

Inverse characterization of plates using zero group velocity Lamb modes

Cited by 56 publications

References 11 publications

Laser-excited elastic guided waves reveal the complex mechanics of nanoporous silicon

Laser-excited elastic guided waves reveal the complex mechanics of nanoporous silicon

Dirac cones and chiral selection of elastic waves in a soft strip

Laser-Excited Elastic Guided Waves Reveal the Complex Mechanics of Nanoporous Silicon

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