Remote dynamic acoustoelastic testing: Elastic and dissipative acoustic nonlinearities measured under hydrostatic tension and compression

Renaud, Guillaume; Callé, Samuel; Defontaine, M.

doi:10.1063/1.3064137

Cited by 82 publications

(60 citation statements)

References 28 publications

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“…First developed in medical characterization of bone and other materials, [20][21][22] it was later applied to rocks. [23][24][25][26] The method relies on monitoring the material several times during a resonant period.…”

Section: Introductionmentioning

confidence: 99%

Characterizing the nonlinear interaction of S- and P-waves in a rock sample

Gallot

Malcolm

Szabo

et al. 2015

Journal of Applied Physics

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The nonlinear elastic response of rocks is known to be caused by the rocks' microstructure, particularly cracks and fluids. This paper presents a method for characterizing the nonlinearity of rocks in a laboratory scale experiment with a unique configuration. This configuration has been designed to open up the possibility of using the nonlinear characterization of rocks as an imaging tool in the field. In our experiment, we study the nonlinear interaction of two traveling waves: a low-amplitude 500 kHz P-wave probe and a high-amplitude 50 kHz S-wave pump in a room-dry 15 Â 15 Â 3 cm slab of Berea sandstone. Changes in the arrival time of the P-wave probe as it passes through the perturbation created by the traveling S-wave pump were recorded. Waveforms were time gated to simulate a semi-infinite medium. The shear wave phase relative to the P-wave probe signal was varied with resultant changes in the P-wave probe arrival time of up to 100 ns, corresponding to a change in elastic properties of 0.2%. In order to estimate the strain in our sample, we also measured the particle velocity at the sample surface to scale a finite difference linear elastic simulation to estimate the complex strain field in the sample, on the order of 10 À6 , induced by the S-wave pump. We derived a fourth order elastic model to relate the changes in elasticity to the pump strain components. We recover quadratic and cubic nonlinear parameters:b ¼ À872 and d ¼ À1:1 Â 10 10 , respectively, at room-temperature and when particle motions of the pump and probe waves are aligned. Temperature fluctuations are correlated to changes in the recovered values ofb andd, and we find that the nonlinear parameter changes when the particle motions are orthogonal. No evidence of slow dynamics was seen in our measurements. The same experimental configuration, when applied to Lucite and aluminum, produced no measurable nonlinear effects. In summary, a method of selectively determining the local nonlinear characteristics of rock quantitatively has been demonstrated using traveling sound waves. V C 2015 AIP Publishing LLC.

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Section: Introductionmentioning

confidence: 99%

Characterizing the nonlinear interaction of S- and P-waves in a rock sample

Gallot

Malcolm

Szabo

et al. 2015

Journal of Applied Physics

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“…More generally, nonlinear acoustics offers sensitive techniques to detect an isolated and localized microcrack, 20 as well as to evaluate the global quantity of microdamage in materials such as rock, 21,22 nickel, 23 concrete, 24-26 wood, 27 bone, 28,29 etc. These techniques are primarily based on harmonic generation, [30][31][32] frequency mixing, 33-35 acoustoelasticity, 36,37 or shift in the resonance frequency. 26,28,38,39 The latter provides the means to extract nonlinear elastic and dissipative parameters, associated to changes in the resonance frequency and damping with level of excitation, respectively.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear acoustic resonances to probe a threaded interface

Rivière

Renaud

Haupert

et al. 2010

Journal of Applied Physics

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We evaluate the sensitivity of multimodal nonlinear resonance spectroscopy to torque changes in a threaded interface. Our system is comprised of a bolt progressively tightened in an aluminum plate. Different modes of the system are studied in the range 1-25 kHz, which correspond primarily to bending modes of the plate. Nonlinear parameters expressing the importance of resonance frequency and damping variations are extracted and compared to linear ones. The influence of each mode shape on the sensitivity of nonlinear parameters is discussed. Results suggest that a multimodal measurement is an appropriate and sensitive method for monitoring bolt tightening. Further, we show that the nonlinear components provide new information regarding the interface, which can be linked to different friction theories. This work has import to study of friction and to nondestructive evaluation of interfaces for widespread application and basic research.

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“…It can be easily established that TOFM (nanoseconds) is proportional to the variations in the viscoelastic modulus K [13,14] …”

Section: Viscoelastic Non-linearitymentioning

confidence: 99%

“…An experimental technique, similar to the method proposed by Ichida et al [12] and named DAET [8,13,14], was developed to measure viscoelastic and dissipative acoustic non-linearity both noninvasively and regionally.…”

Section: Dynamic Acousto-elastic Testingmentioning

confidence: 99%

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Monitoring trabecular bone microdamage using a dynamic acousto-elastic testing method

Moreschi

Callé

Guérard

et al. 2010

Proceedings of the Institution of Mechanical Engineers, Part H:

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. The manuscript was received on 17 April 2010 and was accepted after revision for publication on 4 August 2010. DOI: 10.1243/09544119JEIM846Abstract: Dynamic acousto-elastic testing (DAET) is based on the coupling of a lowfrequency (LF) acoustic wave and high-frequency ultrasound (US) pulses (probing wave). It was developed to measure US viscoelastic and dissipative non-linearity in trabecular bone. It is well known that this complex biphasic medium contains microdamage, even when tissues are healthy. The purpose of the present study was to assess the sensitivity of DAET to monitor microdamage in human calcanei. Three protocols were therefore performed to investigate the regional heterogeneity of the calcaneus, the correlation between DAET measurements and microdamage revealed by histology, and DAET sensitivity to mechanically induced fatigue microdamage. The non-linear elastic parameter b was computed for all these protocols. The study demonstrated the presence of high viscoelastic and dissipative non-linearity only in the region of the calcaneus close to the anterior talocalcaneal articulation (region of high bone density). Protocols 1 and 2 also showed that most unsorted calcanei did not naturally exhibit high non-linearity, which is correlated with a low level of microcracks. Nevertheless, when microdamage was actually present, high levels of US non-linearity were always found, with characteristic non-linear signatures such as hysteresis and tension/compression asymmetry. Finally, protocol 3 demonstrated the high sensitivity of DAET measurement to fatigue-induced microdamage.

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Remote dynamic acoustoelastic testing: Elastic and dissipative acoustic nonlinearities measured under hydrostatic tension and compression

Cited by 82 publications

References 28 publications

Characterizing the nonlinear interaction of S- and P-waves in a rock sample

Characterizing the nonlinear interaction of S- and P-waves in a rock sample

Nonlinear acoustic resonances to probe a threaded interface

Monitoring trabecular bone microdamage using a dynamic acousto-elastic testing method

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