Hysteresis, Discrete Memory, and Nonlinear Wave Propagation in Rock: A New Paradigm

Guyer, R. A.; McCall, K. R.; Boitnott, G. N.

doi:10.1103/physrevlett.74.3491

Cited by 290 publications

(161 citation statements)

References 12 publications

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“…The consequence is the impossibility to perform quantitative reproducible and precise experiments if ones modify the applied static stress on the sample, even if it is measured to be equal after a back and forth modification. Moreover, if one would be able to apply exactly the same stress, the memory effects due for instance to the hysteresis in the quasistatic stress-strain relationship, take place [25,26,27]. In an attempt to control carefully the granular preparation, the acoustics of compaction has been recently studied [28].…”

Section: Methodsmentioning

confidence: 99%

Nonlinear effects for coda-type elastic waves in stressed granular media

Tournat

Gusev

2009

Phys. Rev. E

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Experimental results and their interpretations are presented on the nonlinear acoustic effects of multiple scattered elastic waves in unconsolidated granular media. Short wave packets with a central frequency higher than the so-called cut-off frequency of the medium are emitted at one side of the statically stressed slab of glass beads and received at the other side after multiple scattering and nonlinear interactions. Typical signals are strongly distorted compared to their initially radiated shape both due to nonlinearity and scattering. It is shown that acoustic waves with a deformation amplitude much lower than the mean static deformation of the contacts in the medium can modify the elastic properties of the medium, especially for the weak contact skeleton part. This addresses the problem of reproducibility of granular structures during and after acoustic excitation, which is necessary to understand in the non destructive testing of the elastic properties of granular media by acoustic methods. Coda signal analysis is shown to be a powerful time-resolved tool to monitor slight modifications in the elastic response of an unconsolidated granular structure.

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Section: Methodsmentioning

confidence: 99%

Nonlinear effects for coda-type elastic waves in stressed granular media

Tournat

Gusev

2009

Phys. Rev. E

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“…Experimental findings have demonstrated that fast dynamic effect is related to hysteresis in the strain-stress relationship [16]. After Guyer et al [17] a phenomenological model to describe the hysteresis in the Preisach-Mayergoyz space [18] can be written as:…”

Section: Nonlinear Impact Resonant Acoustic Spectroscopymentioning

confidence: 99%

Nondestructive Monitoring of Ageing of Alkali Resistant Glass Fiber Reinforced Cement (GRC)

et al. 2013

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Glass fiber reinforced cement (GRC) is a composite material made of portland cement mortar and alkali resistant (AR) fibers. AR fibers are added to portland cement to give the material additional flexural strength and toughness.However ageing deteriorates the fibers and as a result the improvement in the mechanical properties resulted from the fiber addition disappears as the structure becomes old. The aim of this paper is monitoring GRC ageing by nondestructive evaluation (NDE) techniques. Two different NDE techniques -1) nonlinear impact resonant acoustic spectroscopy analysis and 2) propagating ultrasonic guided waves -are used for this purpose. Both techniques revealed a reduction of the nonlinear behavior in the GRC material with ageing. Specimens are then loaded to failure to obtain their strength and stiffness. Compared to the un-aged specimens the aged specimens are found to exhibit more linear behavior, have more stiffness but less toughness. Finally, undisturbed fragments on the fracture surface form mechanical tests are inspected under the electron microscope, to understand the fundamental mechanisms that cause the change in the GRC behavior with ageing.Keywords: Glass Fiber Reinforced Cement, Material Ageing, Ultrasonic Guided Waves, Nonlinear Impact Resonant Acoustic Spectroscopy, Nondestructive Evaluation. IntroductionAlkali resistant glass fiber reinforced portland cement is a cement-based composite material that has higher flexural strength and toughness than plain cement [1]. However, GRC undergoes a rapid ageing process especially in humid and alkaline environment (pH>12). This ageing can nullify the positive effects of glass fibers undergoing from a ductile to a brittle material. Different strategies for improving the durability of GRC have been attempted by modifying the fibers and/or by altering the alkalinity of the matrix [7][8][9]. All these improvements have been evaluated by mechanical tests after accelerated ageing. Accelerated ageing tests have been broadly accepted for testing the durability of GRC. They can be classified as i) Deemed to satisfy tests, (EN 1170-8 [10]) where the GRC specimens are exposed to severe conditions, and ii) predictive accelerated ageing tests [11] that are commonly used to predict the service life of the material, in real weather conditions. For example, Purnell et al. [2] established that GRC soaked for 1 day in water at 55ºC, corresponds to 100 days of exposure to the real weather conditions in the United Kingdom. However, it should be noted that the correspondence between the accelerated ageing tests and the real aging conditions is still being investigated, especially when different matrix compositions are to be compared [11][12]. Typically the ageing process has been assessed by mechanical testing or by strand in cement (SIC) tests [13][14]. The aim of this work is to assess the ageing process in GRC by two nondestructive testing techniques -1) resonance frequency tests at different impact energy levels called Nonlinear Impact Resonance Acousti...

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“…45,46 The physical origins of these phenomena, which are still not completely understood, comes from a rearrangement of grains ͑dislocations, rupture, recovery bonds͒ which can be modeled as friction and/or clapping, together with a thermoelastic effect. 47 The "hysteretic" regime ͑except slow dynamics effect͒ of these materials has been modeled phenomenologically by Guyer and McCall,48,49 using the Preisach-Mayergoyz space ͑PM space͒. We choose the description of this model, as it is one of the most simple and universal to introduce nonlinear elasticity in diverse materials/systems.…”

Section: Theorymentioning

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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Hysteresis, Discrete Memory, and Nonlinear Wave Propagation in Rock: A New Paradigm

Cited by 290 publications

References 12 publications

Nonlinear effects for coda-type elastic waves in stressed granular media

Nonlinear effects for coda-type elastic waves in stressed granular media

Nondestructive Monitoring of Ageing of Alkali Resistant Glass Fiber Reinforced Cement (GRC)

Nonlinear acoustic resonances to probe a threaded interface

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