Simulation of multi-cracks in solids using nonlinear elastic wave spectroscopy with a time-reversal process

Zhu, Jian Feng; Zhang, Ying; Liu, Xiaozhou

doi:10.1016/j.wavemoti.2013.05.008

Cited by 6 publications

(5 citation statements)

References 26 publications

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“…PM model is a phenomenological model for microdamaged materials and has been reported to generate remarkable higher harmonics in bulk wave simulations. [22,23,25,29] The S 0 -mode Lamb waves used here resemble the displacement field of the simple axial wave [30] and show particle displacements mostly in the x direction. [27] Therefore, higher har-monic generation is expected in nonlinear Lamb wave simulations with the PM model.…”

Section: Pm Model In Lamb Wave Simulationsmentioning

confidence: 96%

“…The PM material parameters are K 1 = 7.5 × 10 14 Pa, K 2 = 1.0 × 10 15 Pa, r 1 = 0.002, r 2 = 0.001 and consider a uniform distribution of hysteretic elements in PM space. [25] In order to define PM model material in ABAQUS software, a VUMAT subroutine is implemented to update the stress tensor at every iteration time step. [22,23,25] The center coordinates of these two models are o CAN and o PM , respectively.…”

Section: Numerical Simulation Setup and Signal Processingmentioning

confidence: 99%

“…[25] In order to define PM model material in ABAQUS software, a VUMAT subroutine is implemented to update the stress tensor at every iteration time step. [22,23,25] The center coordinates of these two models are o CAN and o PM , respectively. The simulations are performed according to the following steps: (i) S 0 -mode Lamb wave is excited in a microdamaged waveguide and the response signal is recorded at the receiver.…”

Section: Numerical Simulation Setup and Signal Processingmentioning

confidence: 99%

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Location of micro-cracks in plates using time reversed nonlinear Lamb waves*

Liu

et al. 2020

Chinese Phys. B

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A promising tool to detect micro-cracks in plate-like structures is used for generating higher harmonic Lamb waves. In this paper, a method combining nonlinear S0 mode Lamb waves with time reversal to locate micro-cracks is presented and verified by numerical simulations. Two different models, the contact acoustic nonlinearity (CAN) model and the Preisach–Mayergoyz (PM) model, are used to simulate a localized damage in a thin plate. Pulse inversion method is employed to extract the second and fourth harmonics from the received signal. Time reversal is performed to compensate the dispersion of S0 mode Lamb waves. Consequently, the higher harmonics generated from the damaged area can be refocused on their source. By investigating the spatial distribution of harmonic wave packets, the location of micro-cracks will be revealed. The numerical simulations indicate that this method gives accurate locations of the damaged area in a plate. Furthermore, the PM model is proved to be a suitable model to simulate the micro-cracks in plates for generation of higher harmonics.

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Section: Pm Model In Lamb Wave Simulationsmentioning

confidence: 96%

Section: Numerical Simulation Setup and Signal Processingmentioning

confidence: 99%

Section: Numerical Simulation Setup and Signal Processingmentioning

confidence: 99%

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Location of micro-cracks in plates using time reversed nonlinear Lamb waves*

Liu

et al. 2020

Chinese Phys. B

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“…In our previous work, the feasibility of NEWS-TR method for micro-damage imaging was analyzed and the influence of frequency on the prediction of the cracks was discussed. [15] In this paper, the method of maximum value imaging [16] and the method of maximum value imaging with a time window are used to obtain the images of two cracks in the viscoelastic solid materials separately. With these images, studies are carried out to analyze how the cracks affect each other.…”

Section: Introductionmentioning

confidence: 99%

Multi-crack imaging using nonclassical nonlinear acoustic method

Zhang¹,

Zhang²,

Liu³

et al. 2014

Chinese Phys. B

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Solid materials with cracks exhibit the nonclassical nonlinear acoustical behavior. The micro-defects in solid materials can be detected by nonlinear elastic wave spectroscopy (NEWS) method with a time-reversal (TR) mirror. While defects lie in viscoelastic solid material with different distances from one another, the nonlinear and hysteretic stress-strain relation is established with Preisach-Mayergoyz (PM) model in crack zone. Pulse inversion (PI) and TR methods are used in numerical simulation and defect locations can be determined from images obtained by the maximum value. Since false-positive defects might appear and degrade the imaging when the defects are located quite closely, the maximum value imaging with a time window is introduced to analyze how defects affect each other and how the fake one occurs. Furthermore, NEWS-TR-NEWS method is put forward to improve NEWS-TR scheme, with another forward propagation (NEWS) added to the existing phases (NEWS and TR). In the added phase, scanner locations are determined by locations of all defects imaged in previous phases, so that whether an imaged defect is real can be deduced. NEWS-TR-NEWS method is proved to be effective to distinguish real defects from the false-positive ones. Moreover, it is also helpful to detect the crack that is weaker than others during imaging procedure.

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“…The reverberation in a measured impulse can be exploited as a virtual array of sources during the time reversal focusing process. TR has been used to locate and characterize defects and cracks in mechanical parts, [13][14][15][16][17][18][19][20][21][22][23][24][25][26] communicate signals along pipes, 27 and in seismology to locate the epicenter of earthquakes 28 and geophysical tremor. 29 One method of achieving time reversal focusing, sometimes termed reciprocal time reversal, obtains an impulse response between locations A and B in a sample or medium.…”

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confidence: 99%

Time reversal focusing of elastic waves in plates for an educational demonstration

Heaton

Anderson

Young

2017

The Journal of the Acoustical Society of America

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The purpose of this research is to develop a visual demonstration of time reversal focusing of vibrations in a thin plate. Various plate materials are tested to provide optimal conditions for time reversal focusing. Specifically, the reverberation time in each plate and the vibration coupling efficiency from a shaker to the plate are quantified to illustrate why a given plate provides the best spatially confined focus as well as the highest focal amplitude possible. A single vibration speaker and a scanning laser Doppler vibrometer (SLDV) are used to provide the time reversal focusing. Table salt is sprinkled onto the plate surface to allow visualization of the high amplitude, spatially localized time reversal focus; the salt is thrown upward only at the focal position. Spatial mapping of the vibration focusing on the plate using the SLDV is correlated to the visual salt jumping demonstration. The time reversal focusing is also used to knock over an object when the object is placed at the focal position; some discussion of optimal objects to use for this demonstration are given.

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Simulation of multi-cracks in solids using nonlinear elastic wave spectroscopy with a time-reversal process

Cited by 6 publications

References 26 publications

Location of micro-cracks in plates using time reversed nonlinear Lamb waves*

Location of micro-cracks in plates using time reversed nonlinear Lamb waves*

Multi-crack imaging using nonclassical nonlinear acoustic method

Time reversal focusing of elastic waves in plates for an educational demonstration

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