Resonant ultrasound spectroscopy for materials with high damping and samples of arbitrary geometry

Remillieux, Marcel C.; Ulrich, Timothy J.; Payan, Cédric; Rivière, Jacques; Lake, Colton R.; Bas, Pierre‐Yves Le

doi:10.1002/2015jb011932

Cited by 48 publications

(17 citation statements)

References 27 publications

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“…Experiments were conducted on a cylindrical sample of Berea sandstone (Cleveland Quarries, Amherst, OH) with a diameter of 25.8 mm, a length of 305.5 mm, a mass density of 2054 kg/m 3 , and a nominal permeability ranging between 500 and 1000 mD. The linear elastic properties of this sample were characterized in previous work using resonant ultrasound spectroscopy [43]. It was found that the sample is well described by a homogeneous and isotropic material with a Young's modulus E = 9.9 GPa and a Poisson's ratio ν = 0.068.…”

Section: Experimental Arrangementmentioning

confidence: 99%

“…10(f). For the predictions, the following parameters were used: λ = 0.73 GPa and μ = 4.64 GPa measured on this sample using resonant ultrasound spectroscopy [43], l = −1600 GPa, m = −3400 GPa, and n = −450 GPa measured by Winkler and Liu [31] on Berea sandstone using static acoustoelasticity, and α = 1600. The theoretical model captures well the features observed in experiments, except near the angle θ = 0…”

Section: A Longitudinal Motionmentioning

confidence: 99%

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Nonlinear elasticity in rocks: A comprehensive three-dimensional description

Lott

Remillieux

Garnier

et al. 2017

Phys. Rev. Materials

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We study theoretically and experimentally the mechanisms of nonlinear and nonequilibrium dynamics in geomaterials through dynamic acoustoelasticity testing. In the proposed theoretical formulation, the classical theory of nonlinear elasticity is extended to include the effects of conditioning. This formulation is adapted to the context of dynamic acoustoelasticity testing in which a low-frequency "pump" wave induces a strain field in the sample and modulates the propagation of a high-frequency "probe" wave. Experiments are conducted to validate the formulation in a long thin bar of Berea sandstone. Several configurations of the pump and probe are examined: the pump successively consists of the first longitudinal and first torsional mode of vibration of the sample while the probe is successively based on (pressure) P and (shear) S waves. The theoretical predictions reproduce many features of the elastic response observed experimentally, in particular, the coupling between nonlinear and nonequilibrium dynamics and the three-dimensional effects resulting from the tensorial nature of elasticity.

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Section: Experimental Arrangementmentioning

confidence: 99%

Section: A Longitudinal Motionmentioning

confidence: 99%

Nonlinear elasticity in rocks: A comprehensive three-dimensional description

Lott

Remillieux

Garnier

et al. 2017

Phys. Rev. Materials

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“…1. The linear elastic properties of this sample were characterized in previous work using resonant ultrasound spectroscopy [30]. It was found that, at the relatively low frequencies considered in this study, the sample is well described by a homogeneous and isotropic material with E ¼ 9.9 GPa and G ¼ 4.6 GPa.…”

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confidence: 99%

Decoupling Nonclassical Nonlinear Behavior of Elastic Wave Types

et al. 2016

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In this Letter, the tensorial nature of the nonequilibrium dynamics in nonlinear mesoscopic elastic materials is evidenced via multimode resonance experiments. In these experiments the dynamic response, including the spatial variations of velocities and strains, is carefully monitored while the sample is vibrated in a purely longitudinal or a purely torsional mode. By analogy with the fact that such experiments can decouple the elements of the linear elastic tensor, we demonstrate that the parameters quantifying the nonequilibrium dynamics of the material differ substantially for a compressional wave and for a shear wave. This result could lead to further understanding of the nonlinear mechanical phenomena that arise in natural systems as well as to the design and engineering of nonlinear acoustic metamaterials. DOI: 10.1103/PhysRevLett.116.115501 Nonlinear mesoscopic elastic materials [1] exhibit unique and interesting properties related to nonlinear and nonequilibrium dynamics that are relevant to various natural and industrial processes ranging in scales and applications, e.g., the onset of earthquakes and avalanches in geophysics [2][3][4], the aging of infrastructures in civil engineering [5,6], the failure of mechanical parts in industrial settings [7][8][9], bone fragility in the medical field [10][11][12], or the design of novel materials, including nonlinear metamaterials, for shock absorption, acoustic focusing, and energy-harversting systems [13]. These properties include the dependence of wave speed and damping parameters on strain amplitude [5,14,15], slow relaxation [16,17], and hysteresis with end-point memory [18][19][20]. Consolidated (see the work referenced previously) and unconsolidated granular media [21][22][23][24] are of particular interest for laboratory-scale experiments because they can provide reference measurements to study or engineer these properties. The latter, when consisting of disorded bead pack or granular crystal lattices, serves as a simplified paradigm for understanding the key mechanisms responsible for nonequilibrium dynamics whereas the former provides a more complex but faithful representation of realistic systems.In consolidated granular media, nonequilibrium dynamics is thought to originate from the microscopic-sized imperfections (e.g., microcracks, debonding at interfaces, grain contacts, etc.) in the "soft" bond system that connects together mesoscopic-sized "hard" elements (e.g., grains or crystals) [25], with experimental evidence recently presented for thermally damaged samples of concrete [26]. These micro-and mesoscopic features are typically distributed throughout the sample and affect its dynamic response at a macroscopic scale through a process of homogenization, thus offering a rich multiscale problem in material physics. Nonequilibrium dynamics has been quantified experimentally in nonlinear mesoscopic elastic materials, through the nonclassical nonlinear elastic parameter α, by resonant experiments in which a slender bar with free boundary conditions...

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“…By means of the elastic constants it is possible to study the environment in which solid state phenomena occur, like e.g. phonon, electron or magnetic effects, and also probe phase transitions [2] these reasons, elastic constants provide significant information about materials and are very important in science applications, such as material science, geophysics, nondestructive testing and biomedical engineering [3]. RUS is a method for measuring elastic constants involving two steps.…”

Section: Resonant Ultrasound Spectroscopymentioning

confidence: 99%

“…The natural frequencies are classically obtained by mounting the sample with the least possible contact between a pair of piezoelectric transducers (contact RUS), one for frequency scan excitation and one for measuring the sample's response. The second step is to determine the elastic tensor from the measured resonance frequencies [3,4].…”

Section: Resonant Ultrasound Spectroscopymentioning

confidence: 99%