Analysis of Elastic Nonlinearity Using Continuous Waves: Validation and Applications
Source abstract
Abstract
The nonlinear elastic response of consolidated granular or damaged materials is the result of the combination of nonlinear attenuation and velocity, coupled with hysteresis, which is linked to non equilibrium effects (often termed conditioning). Thus, a preliminary step towards the comprehension of the physical mechanisms responsible of the nonlinear elastic behaviours consists in quantifying and separating the various contributions. To this purpose, an approach based on a semi-analytical treatment of signals resulting from a monochromatic continuous wave excitation can be successfully implemented. Its validation is discussed here, applying the proposed approach to the analysis of numerical data obtained by using a finite difference spring model code. The accuracy, sensibility and robustness of the protocol are verified in different nonlinear conditions.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Ultrasonics and Acoustic Wave Propagation · Structural Health Monitoring Techniques · Rock Mechanics and Modeling
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Applied Science and Technology (DISAT), Politecnico di Torino, 10129 Torino, Italy
References (53)
Show source-provided references
1. Non-destructive evaluation of concrete in damaged and undamaged states10.1016/j.matdes.2009.03.008 ↗
2. Nonlinear ultrasonic evaluation of load effects on discontinuities in concrete10.1016/j.cemconres.2009.09.014 ↗
3. Ongpeng, J.M., Oreta, A.W., and Hirose, S. (2018). Monitoring Damage Using Acoustic Emission Source Location and Computational Geometry in Reinforced Concrete Beams. Appl. Sci., 8.10.3390/app8020189 ↗
4. Hysteresis and the dynamic elasticity of consolidated granular materials10.1103/PhysRevLett.82.3280 ↗
5. A set of measures for the systematic classification of the nonlinear elastic behavior of disparate rocks10.1002/2014JB011718 ↗
6. Slow Relaxation and Aging Phenomena at the Nanoscale in Granular Materials10.1103/PhysRevLett.112.108302 ↗
7. Resonance ultrasonic thermography: Highly efficient contact and air-coupled remote modes10.1063/1.4792236 ↗
8. Multimodal analysis of GRC ageing process using nonlinear impact resonance acoustic spectroscopy10.1016/j.compositesb.2015.02.020 ↗
9. Prediction of residual fatigue life using nonlinear ultrasound10.1088/0964-1726/21/4/045001 ↗
10. Hong, X., Liu, Y., Lin, X., Luo, Z., and He, Z. (2018). Nonlinear Ultrasonic Detection Method for Delamination Damage of Lined Anti-Corrosion Pipes Using PZT Transducers. Appl. Sci., 8.10.3390/app8112240 ↗
11. Liu, Y., Yang, S., and Liu, X. (2018). Detection and Quantification of Damage in Metallic Structures by Laser-Generated Ultrasonics. Appl. Sci., 8.10.3390/app8050824 ↗
12. Damage assessment in reinforced concrete using spectral and temporal nonlinear vibration techniques10.1016/S0008-8846(00)00329-X ↗
13. Correlation of elastic and mechanical properties of consolidated granular media during microstructure evolution induced by damage and repair
14. Modeling nonlinear viscoelasticity in dynamic acoustoelasticity10.1063/1.4904995 ↗
15. Conditioning and elastic nonlinearity in concrete: Separation of damping and phase contributions10.1016/j.conbuildmat.2017.11.035 ↗
16. Nonlinear and nonequilibrium dynamics in geomaterials10.1103/PhysRevLett.93.065501 ↗
17. Nonequilibrium and hysteresis in solids: Disentangling conditioning from nonlinear elasticity10.1103/PhysRevB.81.104114 ↗
18. Neutron diffraction study of the contribution of grain contacts to nonlinear stress-strain behavior10.1029/2004GL020463 ↗
19. Hertz-Mindlin problem for arbitrary oblique 2D loading: General solution by memory diagrams10.1016/j.jmps.2011.10.003 ↗
20. Adhesion and nonlinear scattering by rough surfaces in contact: Beyond the phenomenology of the Preisach-Mayergoyz framework10.1121/1.1785616 ↗
21. Nonlinear frequency-mixing photoacoustic imaging of a crack: Theory10.1063/1.3431533 ↗
22. Nonlinear modulation of Lamb modes by clapping delamination10.1121/1.2996301 ↗
23. Kamimura, T., Yoshida, S., and Sasaki, T. (2018). Evaluation of Ultrasonic Bonding Strength with Optoacoustic Methods. Appl. Sci., 8.10.3390/app8071026 ↗
24. Theory of Mechanical Damping Due to Dislocations10.1063/1.1722436 ↗
25. Theoretical and experimental study of the nonlinear resonance vibration of cementitious materials with an application to damage characterization10.1121/1.3647303 ↗
26. Nonlinear elastic response of thermally damaged consolidated granular media10.1063/1.4801801 ↗
27. Li, M., Lomonosov, A.M., Shen, Z., Seo, H., Jhang, K.-Y., Gusev, V.E., and Ni, C. (2019). Monitoring of Thermal Aging of Aluminum Alloy via Nonlinear Propagation of Acoustic Pulses Generated and Detected by Lasers. Appl. Sci., 9.10.3390/app9061191 ↗
28. Carbonation assessment in concrete by nonlinear ultrasound10.1016/j.cemconres.2011.02.006 ↗
29. Effects of corrosion on linear and nonlinear elastic properties of reinforced concrete10.1016/j.cemconres.2013.04.006 ↗
30. Combining nonlinear acoustics and physico-chemical analysis of aggregates to improve alkali-silica reaction monitoring10.1016/j.cemconres.2014.08.005 ↗
31. Monitoring of autogenous crack healing in cementitious materials by the nonlinear modulation of ultrasonic coda waves, 3D microscopy and X-ray microtomography10.1016/j.conbuildmat.2016.06.138 ↗
32. Ait Ouarabi, M., Antonaci, P., Boubenider, F., Gliozzi, A.S., and Scalerandi, M. (2017). Ultrasonic monitoring of the interaction between cement matrix and alkaline silicate solution in self-healing systems. Materials, 10.10.3390/ma10010046 ↗
33. Evidence of microstructure evolution in solid elastic media based on a power law analysis10.1016/j.cnsns.2014.09.007 ↗
34. Power laws and elastic nonlinearity in materials with complex microstructure10.1016/j.physleta.2015.11.004 ↗
35. Pump and probe waves in dynamic acousto-elasticity: Comprehensive description and comparison with nonlinear elastic theories10.1063/1.4816395 ↗
36. Drying shrinkage in concrete assessed by nonlinear ultrasound10.1016/j.cemconres.2016.11.010 ↗
37. Application of nonlinear dynamics to monitoring progressive fatigue damage in human cortical bone10.1063/1.2809565 ↗
38. Applying nonlinear resonant ultrasound spectroscopy to improving thermal damage assessment in concrete10.1121/1.2710745 ↗
39. A scaling method to enhance detection of a nonlinear elastic response10.1063/1.2890031 ↗
40. Nonlinear coda wave analysis of hysteresis in strongly scattering elastic media10.1103/PhysRevB.94.134103 ↗
41. Enhancement of Selectivity in Nonlinear Ultrasonic Imaging of Closed Cracks Using Amplitude Difference Phased Array10.1143/JJAP.51.07GB18 ↗
42. Nonlinear effects for coda-type elastic waves in stressed granular media10.1103/PhysRevE.80.011306 ↗
43. Anisotropy of dynamic acoustoelasticity in limestone, influence of conditioning, and comparison with nonlinear resonance spectroscopy10.1121/1.4802909 ↗
44. Decoupling Nonclassical Nonlinear Behavior of Elastic Wave Types10.1103/PhysRevLett.116.115501 ↗
45. Separation of Damping and Velocity Strain Dependencies using an Ultrasonic Monochromatic Exctitation10.1103/PhysRevApplied.11.054050 ↗
46. Temperature effects on the elastic properties of hysteretic elastic media: Modeling and simulations10.1103/PhysRevB.69.104105 ↗
47. Three-dimensional treatment of nonequilibrium dynamics and higher order elasticity10.1063/1.4945680 ↗
48. A spring model for the simulation of the propagation of ultrasonic pulses through imperfect contact interfaces10.1121/1.423841 ↗
49. Modeling Nonclassical Nonlinearity, Conditioning and Slow Dynamics Effects in Mesoscopic Elastic Materials10.1103/PhysRevB.68.064107 ↗
50. Hysteretic elasticity in damaged concrete: Quantitative analysis of slow and fast dynamics10.1103/PhysRevB.73.014116 ↗
51. Resonance and elastic properties in rock10.1029/96JB00647 ↗
52. Nonlinear elastodynamic in microinhomogeneous solids observed by head-wave based dynamic acoustoelastic testing10.1121/1.3652871 ↗
53. Experimental evidence of correlations between conditioning and relaxation in hysteretic elastic media10.1103/PhysRevApplied.12.044002 ↗