Hysteresis in response of nonlinear bistable interface to continuously varying acoustic loading

Gusev, Vitalyi; Castagnède, Bernard; Moussatov, Alexei

doi:10.1016/s0041-624x(03)00179-3

Cited by 27 publications

(16 citation statements)

References 32 publications

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“…doi:10. 1016/j.ijsolstr.2005.11.006 of imperfect interfaces and cracks (Solodov et al, 1993;Hirose and Achenbach, 1993;Rudenko and Vu, 1994;Fassbender and Arnold, 1996;Nazarov and Sutin, 1997;Hirsekorn, 2001;Chen et al, 2001;Donskoy et al, 2001;Solodov and Korshak, 2002;Pecorari, 2003;Gusev et al, 2003;Biwa et al, 2004). Especially when a crack is closed, it may remain undetected by the linear ultrasonic techniques (Rokhlin and Kim, 2003) even though it can be excited ultrasonically to generate measurable second and higher order harmonic signals (Buck et al, 1978).…”

Section: Introductionmentioning

confidence: 99%

Hysteretic linear and nonlinear acoustic responses from pressed interfaces

Kim

Baltazar

et al. 2006

International Journal of Solids and Structures

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An analysis of the linear and nonlinear acoustic responses from an interface between rough surfaces in elastoplastic contact is presented as a model of the ultrasonic wave interactions with imperfect interfaces and closed cracks. A micromechanical elastoplastic contact model predicts the linear and second order interfacial stiffness from the topographic and mechanical properties of the contacting surfaces during a loading-unloading cycle. The effects of those surface properties on the linear and nonlinear reflection/transmission of elastic longitudinal waves are shown. The second order harmonic amplitudes of reflected/transmitted waves decrease by more than an order of magnitude during the transition from the elastic contact mode to the elastoplastic contact mode. It is observed that under specific loading histories the interface between smooth surfaces generates higher elastoplastic hysteresis in the interfacial stiffness and the acoustic nonlinearity than interfaces between rough surfaces. The results show that when plastic flow in the contacting asperities is significant, the acoustic nonlinearity is insensitive to the asperity peak distribution. A comparison with existing experimental data for the acoustic nonlinearity in the transmitted waves is also given with a discussion on its contact mechanical implication.

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Section: Introductionmentioning

confidence: 99%

Hysteretic linear and nonlinear acoustic responses from pressed interfaces

Kim

Baltazar

et al. 2006

International Journal of Solids and Structures

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“…5d) of the in-parallel piezoelectrical excitation can be attributed to modification of the average parameters of the material in the presence of intense acoustical loading due to the nonlinearity of the material (rectification or demodulation process [15,16]). In particular, the opening of the crack, i.e., its width, changes under intense acoustic loading [4,13,14]. A poor contrast of the images obtained at the second harmonic frequency 2 f L (Fig.…”

Section: Resultsmentioning

confidence: 99%

“…Our intention was to increase mechanical nonlinearity of the crack by inducing its motion in a highly nonlinear regime of opening/closing of the contacts between the lips of the crack and, thus, to increase the contrast of the nonlinear photoacoustic imaging of the crack. The existence of this regime is known from nonlinear acoustic experiments [4,12] and theory [13,14]. We were also interested to realize the imaging of the crack through the detection of acoustic waves at such mixed frequencies that are not launched in the system either by acoustical or photoacoustical excitation and are due to nonlinearity of the sample.…”

Section: Introductionmentioning

confidence: 99%

Combined Photoacoustic–Acoustic Technique for Crack Imaging

et al. 2010

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Nonlinear imaging of a crack by combination of a common photoacoustic imaging technique with additional acoustic loading has been performed. Acoustic signals at two different fundamental frequencies were launched in the sample, one photoacoustically through heating of the sample surface by the intensity-modulated scanning laser beam and another by a piezoelectrical transducer. The acoustic signal at mixed frequencies, generated due to system nonlinearity, has been detected by an accelerometer. Different physical mechanisms of the nonlinearity contributing to the contrast in linear and nonlinear photoacoustic imaging of the crack are discussed.

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“…33 Note that a possible hysteresis in the transitions between the open and close states 33 and also the demodulation/rectification of the oscillating thermo-elastic stress at the crack nonlinearity 6,29 are neglected in Eq. (5) for simplicity, because these phenomena are not essential for qualitative interpretation of NFMPA images presented below.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…6,[27][28][29][30] This regime of crack motion in the external fields (sometimes called "tapping" when it starts from the initially opened state and "clapping" when its starts from the closed state) is characterized by non-analytic nonclassic nonlinearity 3 related to abrupt/discontinuous changes in crack rigidity, which is known to be much stronger than the classic analytic power-law-type nonlinearities. 3 When the crack is tapping or clapping the nonlinear phenomena on the crack can be distinguished from the nonlinear phenomena in the intact surroundings not only because they are stronger but also because they result in different spectral patterns of the acoustic field.…”

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confidence: 99%

Two dimensional nonlinear frequency-mixing photo-acoustic imaging of a crack and observation of crack phantoms

Mézil

Chigarev

Tournat

et al. 2013

Journal of Applied Physics

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A two-dimensional imaging of a crack by nonlinear frequency-mixing photo-acoustic method is reported. The imaging contrast is due to nonlinear photo-thermo-acoustic processes taking place in case of simultaneous excitation by lasers of thermo-elastic and acoustic waves in the vicinity of the cracks. The images are obtained by scanning of two co-focused laser beams in region of crack location. The first cw laser beam, modulated in intensity at low frequency f L , generates a thermoelastic wave, which is able to strongly periodically modulate the local crack rigidity up to complete closing/opening of the crack. The second cw laser beam, intensity modulated at much higher frequency f H , generates an acoustic wave incident on the breathing crack. The crack rigidity is also influenced by the stationary non-modulated inhomogeneous thermal stresses caused by the stationary heating of the sample by both lasers. The main contribution to imaging contrast comes from the strong dependence of the reflectivity of acoustic waves on the crack rigidity. The modulation of crack rigidity by thermo-elastic wave leads to the parametric modulation of the reflected acoustic waves and the generation in the spectrum of the acoustic field of the side lobes, which are separated from f H by the integer number of f L . Scan images of a crack with an amplitude dynamics up to 40 dB and a spatial resolution better than 100 lm, are obtained through the mapping of nonlinear side lobe amplitudes. The observed dependences of the images on the power of the lasers are discussed and the physical explanation of the appearance of crack phantom images at high level of optical excitation is proposed. For comparison and elucidation of spatial resolution issues related to this imaging method, the one-dimensional images, obtained with one laser beam focus position fixed and the second beam focus position scanning, are also presented and discussed.

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Hysteresis in response of nonlinear bistable interface to continuously varying acoustic loading

Cited by 27 publications

References 32 publications

Hysteretic linear and nonlinear acoustic responses from pressed interfaces

Hysteretic linear and nonlinear acoustic responses from pressed interfaces

Combined Photoacoustic–Acoustic Technique for Crack Imaging

Two dimensional nonlinear frequency-mixing photo-acoustic imaging of a crack and observation of crack phantoms

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