Localization of material defects using nonlinear resonant ultrasound spectroscopy under asymmetric boundary conditions

Liu, Xiaozhou; Dao, Zhou; Zhu, Jian Feng; Qu, Wenxin; Gong, Xun; Abeele, Koen Van Den; Ma, Li

doi:10.1016/j.phpro.2010.01.008

Cited by 7 publications

(5 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The results obtained with these modes were similar to the results obtained by processing the first compression mode (data not shown). These results are consistent with the theory (Liu et al, 2010;Van den Abeele, 2007). Indeed, the value of the measured nonlinear parameter depends on the local strain field: if the crack is located in a node of the strain field, the crack would not be excited by opening/closing and no nonlinear hysteretic behavior would be measured.…”

Section: Discussionsupporting

confidence: 90%

See 1 more Smart Citation

Quantification of nonlinear elasticity for the evaluation of submillimeter crack length in cortical bone

Haupert

Guérard

Mitton

et al. 2015

Journal of the Mechanical Behavior of Biomedical Materials

View full text Add to dashboard Cite

The objective of this study was to investigate the sensitivity of the nonlinear elastic properties of cortical bone to the presence of a single submillimetric crack. Nonlinear elasticity was measured by nonlinear resonant ultrasound spectroscopy (NRUS) in 14 human cortical bone specimens. The specimens were parallelepiped beams (50×2×2 mm(3)). A central notch of 500 µm was made to control crack initiation and propagation during four-point bending. The nonlinear hysteretic elastic and dissipative parameters αf and αQ, and Young׳s modulus Eus were measured in dry condition for undamaged (control) specimens and in dry and wet conditions for damaged specimens. The length of the crack was assessed using synchrotron radiation micro-computed tomography (SR-μCT) with a voxel size of 1.4 μm. The initial values of αf, measured on the intact specimens, were remarkably similar for all the specimens (αf =-5.5±1.5). After crack propagation, the nonlinear elastic coefficient αf increased significantly (p<0.006), with values ranging from -4.0 to -296.7. Conversely, no significant variation was observed for αQ and Eus. A more pronounced nonlinear elastic behavior was observed in hydrated specimens compared to dry specimens (p<0.001) after propagation of a single submillimetric crack. The nonlinear elastic parameter αf was found to be significantly correlated to the crack length both in dry (R=0.79, p<0.01) and wet (R=0.84, p<0.005) conditions. Altogether these results show that nonlinear elasticity assessed by NRUS is sensitive to a single submillimetric crack induced mechanically and suggest that the humidity must be strictly controlled during measurements.

show abstract

Section: Discussionsupporting

confidence: 90%

“…It means that the value of the nonlinear parameter must be the same for the three modes. Different nonlinear elastic behavior would be expected under symmetric boundary conditions (free-free or fixedfixed) as the local strain fields may vary depending on the mode (Liu et al, 2010;Van den Abeele, 2007;Van den Abeele et al, 2004).…”

Section: Discussionmentioning

confidence: 99%

Quantification of nonlinear elasticity for the evaluation of submillimeter crack length in cortical bone

Haupert

Guérard

Mitton

et al. 2015

Journal of the Mechanical Behavior of Biomedical Materials

View full text Add to dashboard Cite

show abstract

“…If possible, disambiguation may be achieved, for instance, by modifying the boundary conditions. 44 In most practical applications, a reduced number of modes of vibration are available, and a modification of the boundary conditions, which would assist in disambiguating the damage locations, is not feasible. This is especially true in civil engineering structures.…”

Section: Discussionmentioning

confidence: 99%

Damage detection and localization from linear and nonlinear global vibration features in concrete slabs subjected to localized thermal damage

Eiras

Payan

Rakotonarivo

et al. 2020

Structural Health Monitoring

View full text Add to dashboard Cite

In this study, different alternatives to detect and localize damage from linear and nonlinear vibration responses were investigated. These alternatives were compared on two concrete slabs subjected to different damage extents. Linear and nonlinear modal test configurations were considered. The variations of linear resonant frequencies, modal assurance criterion values, and nonlinear hysteretic parameters were used to detect damage. Then, the modal shapes were used to locate damage positions. The maximum principal curvatures derived from the original modal shape displacements between damaged and undamaged states made it possible to spot the damaged zones. Damage localization was further enhanced by weighting the principal modal shape curvature differences for every mode by their respective variations of the nonlinear hysteretic parameter. Finally, damage localization was achieved using different outlier identification techniques.

show abstract

“…Ek 3 H 2 aðxÞ 2 ÂsignðH sin kxÞsin 2kx sin 3xt: (18) Because the eigenfrequencies in this study are not proportional and the third harmonic needs to meet the boundary conditions, the distributions of the displacements are different from those whose eigenfrequencies are proportional. Outside the crack positions, the vibrations satisfy the linear wave differential equation, such that the solutions should follow a trigonometric function distribution.…”

Section: The Harmonic Components Caused By Nonclassical Nonlineamentioning

confidence: 96%

“…17 The formalism that was developed dealt with symmetric free-free boundary conditions and was unable to differentiate between the defect positions on the left or the right side of the bar. To solve this problem, Liu et al 18 extended the method to asymmetrical boundary conditions; however, this method is applicable only to locating a single crack.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear nonclassical acoustic method for detecting the location of cracks

Liu

Gong

2012

Journal of Applied Physics

Self Cite

View full text Add to dashboard Cite

Resonance and nonlinear properties of a crack filled with a drop of liquid AIP Conf.In this study, a new nonlinear acoustic method that makes full use of the sensitivity of higher harmonics caused by internal microcracks is proposed to locate multiple cracks in a onedimensional bar. The tested bar was coupled with an acoustic emitter, the frequency used by the transducer is the eigenfrequency of the bar, and the boundary of the emitter can be treated as free. A mass load was added to the other end of the bar to provide an asymmetrical boundary condition. The receiver was scanned along the propagation direction of acoustic wave. The relationships between the amplitude, the phase of the harmonics, and the positions of the cracks can be used to locate multiple cracks in the bar. The higher harmonic frequencies induced due to crack nonlinearity are different from the eigenfrequencies of the bar. This creates an amplitude difference in the vibration on each side of the cracks and can be used to locate multiple cracks in a onedimensional bar. Numerical calculations were carried out to verify the method and possible approaches to improve the accuracy of this method are discussed. V C 2012 American Institute of Physics. [http://dx.

show abstract

Localization of material defects using nonlinear resonant ultrasound spectroscopy under asymmetric boundary conditions

Cited by 7 publications

References 5 publications

Quantification of nonlinear elasticity for the evaluation of submillimeter crack length in cortical bone

Quantification of nonlinear elasticity for the evaluation of submillimeter crack length in cortical bone

Damage detection and localization from linear and nonlinear global vibration features in concrete slabs subjected to localized thermal damage

Nonlinear nonclassical acoustic method for detecting the location of cracks

Contact Info

Product

Resources

About