Laser induced zero-group velocity resonances in transversely isotropic cylinder

Laurent, J.; Royer, D.; Hussain, Takasar; Ahmad, Faiz; Prada, Claire

doi:10.1121/1.4921608

Cited by 26 publications

(16 citation statements)

References 51 publications

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“…3b, e. Prior to Fourier transformation the signals have been filtered by applying apodization (Hanning) windows in both dimensions (time and distance) to avoid secondary lobes 49 . As expected, the reduced cut-off frequencythickness products for pSi confirm that the longitudinal (V L ) and shear (V T ) bulk wave velocities in the [001]-plate thickness direction are lower compared to those of bulk silicon, which is attributed to a concurrent reduction of both the stiffness coefficients in that direction and the mass density.…”

Section: Investigated Samplesmentioning

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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Section: Investigated Samplesmentioning

confidence: 99%

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

et al. 2021

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“…Continuing earlier research on ZGV modes [7,19,51], in the following, we have investigated the dependence of the ZGV frequencies on the values of the different elastic constants (c 11 , c 13 , c 33 , c 55 ). Each constant was successively varied by 5% and 10% with respect to the values with respect to the values listed in Table 1, and propagation in the P 13 plane was considered.…”

Section: Effect Of Elastic Constants On Zgv Frequenciesmentioning

confidence: 95%

Multiple zero group velocity Lamb modes in an anisotropic plate: propagation along different crystallographic axes

et al. 2019

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This paper studies the propagation of symmetric and antisymmetric Lamb waves along a 1 mm thick iodic acid plate (HIO3) in the 1–50 MHz frequency range. The Lamb mode propagation along three crystallographic planes was theoretically investigated, for two mutually orthogonal propagation directions. Several frequencies were found that correspond to Lamb modes with zero group velocity (ZGV) and non-null phase velocity values. The first symmetric Lamb mode, S1, was found to possess only one ZGV point, regardless of the propagation direction; higher order symmetric and antisymmetric modes with up to four ZGV points were found, depending on the propagation plane. The dependence of the ZGV frequencies on each elastic constant (c11, c13, c33, c55) of the HIO3 plate material was also investigated by changing the constant values by 5% and 10%. It was found that c33 and c55 affect the number of the ZGV points, while c11 and c13 affect the frequency of the ZGV points. The existence and frequencies of the ZGV points are strongly dependent on the proximity of standing longitudinal and transverse waves at nearby cutoff frequencies.

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“…And a high number of F(n,m) modes also exhibit backward branches and ZGV points. 18 According to Ibanescu et al, 54 in a circular waveguide with constant cross-section, there is no interaction between a longitudinal mode and a flexural mode. And due to the continuous rotational symmetry of a fluid-filled pipe, longitudinal and flexural modes are uncoupled for any wavenumber k. 54 Hence, the backward branches of …”

Section: Discussionmentioning

confidence: 99%

“…The resulting resonance is sensitive to local mechanical properties and dimensional changes of isotropic and anisotropic materials. [10][11][12] Recently, laser excitation and detection of such ZGV modes has attracted considerable attention with the prospect of the application of this phenomenon to measure elastic constants and structural defects of thin plates, 9,12,[13][14][15][16] hollow cylinders, 13,17 solid transversely isotropic (TI) cylinder, 18 and supported thin film structures (i.e. multilayered plane structures).…”

Section: Introductionmentioning

confidence: 99%

“…As early as 1904, Lamb 23 first discussed the possibility of In addition, considerable experimental evidence of backward waves and ZGV modes has been reported. [1][2][3][4][5][9][10][11][12][13][14][15][16][17][18][19]21,26,27 For instance, Zemanek 28 has made the observation of a ZGV resonance of the low-order, longitudinal guided mode in a free rod. Meitzler 1 reported experimental observations of stress pulses travelling in backward elastic-wave motions in cylinders and plates.…”

Section: Introductionmentioning

confidence: 99%

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Backward waves with double zero-group-velocity points in a liquid-filled pipe

Cui

Wang

Zhang

et al. 2016

The Journal of the Acoustical Society of America

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Hollow cylinders often exhibit backward propagation modes whose group and phase velocities have opposite directions, and these exhibit a minimum possible frequency at which the group velocity vanishes at a nonzero wavenumber. These zero-group-velocity (ZGV) points are associated with resonant conditions in the medium. On the basis of ZGV resonances, a non-contact and laser ultrasound technique has been developed to measure elastic constants of hollow pipes. This paper provides a theoretical and numerical investigation of the influence of the contained liquid on backward waves and associated ZGV modes, in order to explore whether this ZGV technique is suitable for in-service non-destructive evaluations of liquid-filled pipes. Dispersion spectra and excitation properties have been analyzed. It is found that the presence of the liquid causes an increased number of backward modes and ZGVs which are highly excitable by a point source. In addition, several guided modes twice undergo a change of sign in the slopes of their dispersion curves, leading to two ZGV points. This phenomenon of double ZGVs in one backward wave, which is caused by strong mode repulsions, has not been found in isotropic hollow cylinders, but it can be observed in a fluid-filled thin-walled pipe.

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Laser induced zero-group velocity resonances in transversely isotropic cylinder

Cited by 26 publications

References 51 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

Multiple zero group velocity Lamb modes in an anisotropic plate: propagation along different crystallographic axes

Backward waves with double zero-group-velocity points in a liquid-filled pipe

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