Analytical and Experimental Study of Fatigue-Crack-Growth AE Signals in Thin Sheet Metals
Abstract
:1. Introduction
2. AE Modeling Methods
2.1. AE Signal Flow Diagram
2.2. PWAS Transfer Function
3. Review of AE Experiments
3.1. Specimen Preparation
3.2. AE Experimental Set-Up
3.3. Experimental Results
4. Predictive Modeling of Fatigue Crack AE
4.1. Predictive Modeling of Fatigue Crack Growth AE
4.1.1. Wavefield Due to M11 Dipole Excitation
In-Plane Line Force Excitation—Normal Mode Expansion (NME)
- Line Moment (M11) Excitation Field
4.1.2. Mode-1 Fracture AE Simulation
4.2. Verification of the Analytical Method
5. Summary, Conclusions, and Future Work
5.1. Summary and Conclusions
5.2. Future Work
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
- Janapati, V.; Kopsaftopoulos, F.; Li, F.; Lee, S.J.; Chang, F.-K. Damage detection sensitivity characterization of acousto-ultrasound-based structural health monitoring techniques. Struct. Health Monit. 2016, 15, 143–161. [Google Scholar] [CrossRef]
- Rice, J.R. Elastic wave emission from damage process. J. Nondestruct. Eval. 1980, 1, 215–224. [Google Scholar] [CrossRef] [Green Version]
- Ohtsu, M.Y.; Ono, K. A generalized theory of acoustic emission and Green’s functions in a half Space. J. Acoust. Emiss. 1984, 3, 27–35. [Google Scholar]
- Ohtsu, M.; Ono, K. The generalized theory and source representations of acoustic emission. J. Acoust. Emiss. 1986, 5, 124–133. [Google Scholar]
- Aki, K.; Richards, P.G. Quantitative Seismology, 2nd ed.; University Science Books: Sausalito, CA, USA, 2002. [Google Scholar]
- Weaver, R.L.; Pao, Y.-H. Axisymmetric elastic waves excited by a point source in a plate. J. Appl. Mech. 1982, 49, 821–836. [Google Scholar] [CrossRef]
- Gorman, M.R.; Prosser, W.H. Application of normal mode expansion to accoustic emission waves in finite plates. J. Appl. Mech. 1996, 63, 555–557. [Google Scholar] [CrossRef]
- Lysak, M.V. Development of the theory of acoustic emission by propagating cracks in terms of fracture mechanics. Eng. Fract. Mech. 1996, 55, 443–452. [Google Scholar] [CrossRef]
- RJoseph Bhuiyan, M.Y.; Giurgiutiu, V. Acoustic emission source modeling in a plate using buried moment tensors. Proc. SPIE Health Monit. Struct. Biol. Syst. 2017. [Google Scholar] [CrossRef]
- Haider, M.F.; Giurgiutiu, V. A Helmholtz Potential Approach to the Analysis of Guided Wave Generation During Acoustic Emission Events. J. Nondestruct. Eval. Diagn. Progn. Eng. Syst. 2017, 1, 021002. [Google Scholar] [CrossRef] [Green Version]
- Prosser, W.H.; Hamstad, M.A.; Gary, J.; O’gallagher, A. Finite Element and Plate Theory Modeling of Acoustic Emission Waveforms. J. Nondestruct. Eval. 1999, 18, 83–90. [Google Scholar] [CrossRef]
- Åberg, M. Numerical modeling of acoustic emission in laminated tensile test specimens. Int. J. Solids Struct. 2001, 38, 6643–6663. [Google Scholar] [CrossRef]
- Sause, M.G.R.; Horn, S. Simulation of Acoustic Emission in Planar Carbon Fiber Reinforced Plastic Specimens. J. Nondestruct. Eval. 2010, 29, 123–142. [Google Scholar] [CrossRef]
- Zelenyak, A.; Hamstad, M.; Sause, M. Modeling of Acoustic Emission Signal Propagation in Waveguides. Sensors 2015, 15, 11805–11822. [Google Scholar] [CrossRef] [Green Version]
- Hamstad, M.A.; O’Gallagher, A.; Gary, J. Modeling of buried monopole and dipole sources of acoustic emission with a finite element technique. J. Acoust. Emiss. 1999, 17, 97–110. [Google Scholar]
- Sause, M.G.R.; Hamstad, M.A.; Horn, S. Finite element modeling of lamb wave propagation in anisotropic hybrid materials. Compos. Part B Eng. 2013, 53, 249–257. [Google Scholar] [CrossRef]
- Hora, P.; Cervena, O. Acoustic emission source modeling. Appl. Comput. Mech. 2010, 4, 7–8. [Google Scholar]
- Sause, M.G.R.; Richler, S. Finite Element Modelling of Cracks as Acoustic Emission Sources. J. Nondestruct. Eval. 2015, 34, 4. [Google Scholar] [CrossRef] [Green Version]
- Cuadra, J.; Vanniamparambil, P.A.; Servansky, D.; Bartoli, I.; Kontsos, A. Acoustic emission source modeling using a data-driven approach. J. Sound Vib. 2015, 341, 222–236. [Google Scholar] [CrossRef]
- Hu, W.; Ha, Y.D.; Bobaru, F. Modeling dynamic fracture and damage in a fiber-reinforced composite lamina with peridynamics. Int. J. Multiscale Comput. Eng. 2011, 9, 707–726. [Google Scholar] [CrossRef]
- Lowe, M.J.S. Matrix Techniques for Modeling Ultrasonic-Waves in Multilayered Media. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 1995, 42, 525–542. [Google Scholar] [CrossRef]
- Krushynska, A.A.; Meleshko, V.V. Normal waves in elastic bars of rectangular cross section. J. Acoust. Soc. Am. 2011, 129, 1324–1335. [Google Scholar] [CrossRef] [PubMed]
- Barat, V.; Terentyev, D.; Bardakov, V.; Elizarov, S. Analytical modeling of acoustic emission signals in thin-walled objects. Appl. Sci. 2020, 10, 279. [Google Scholar] [CrossRef] [Green Version]
- Antunes, A.J.M.; Leal-Toledo, R.C.P.; Filho, O.T.d.; Toledo, E.M.Ã. Finite difference method for solving acoustic wave equation using locally adjustable time-steps. Procedia Comput. Sci. 2014, 29, 627–636. [Google Scholar] [CrossRef] [Green Version]
- Bartoli, I.; Marzani, A.; di Scalea, F.L.; Viola, E. Modeling wave propagation in damped waveguides of arbitrary cross-section. J. Sound Vib. 2006, 295, 685–707. [Google Scholar] [CrossRef]
- Marzani, A.; Viola, E.; Bartoli, I.; di Scalea, F.L.; Rizzo, P. A semi-analytical finite element formulation for modeling stress wave propagation in axisymmetric damped waveguides. J. Sound Vib. 2008, 318, 488–505. [Google Scholar] [CrossRef]
- Cho, Y.; Rose, J.L. A boundary element solution for a mode conversion study on the edge reflection of Lamb waves. J. Acoust. Soc. Am. 1996, 99, 2097–2109. [Google Scholar] [CrossRef]
- Chakraborty, A.; Gopalakrishnan, S. A spectral finite element model for wave propagation analysis in laminated composite plate. J. Vib. Acoust. Trans. ASME 2006, 128, 477–488. [Google Scholar] [CrossRef]
- Ajith, V.; Gopalakrishnan, S. Wave propagation in stiffened structures using spectrally formulated finite element. Eur. J. Mech. A/Solids 2013, 41, 1–15. [Google Scholar] [CrossRef]
- Shen, Y.; Giurgiutiu, V. Combined analytical FEM approach for efficient simulation of Lamb wave damage detection. Ultrasonics 2016, 69, 116–128. [Google Scholar] [CrossRef] [Green Version]
- Haider, M.F.; Joseph, R.; Giurgiutiu, V.; Poddar, B. An efficient analytical global-local (AGL) analysis of the Lamb wave scattering problem for detecting a horizontal crack in a stiffened plate. Acta Mech. 2020, 231, 577–596. [Google Scholar] [CrossRef]
- Joseph, R.; Li, L.; Haider, M.F.; Giurgiutiu, V. Hybrid SAFE-GMM approach for predictive modeling of guided wave propagation in layered media. Eng. Struct. 2019, 193, 194–206. [Google Scholar] [CrossRef]
- Roberts, T.M.; Talebzadeh, M. Acoustic emission monitoring of fatigue crack propagation. J. Constr. Steel Res. 2003, 59, 695–712. [Google Scholar] [CrossRef]
- Morton, T.M.; Harrington, R.M.; Bjeletich, J.G.; Palo, L.; Alto, P. Acoustic emissions of fatigue crack growth. Eng. Fract. Mech. 1973, 5, 691–697. [Google Scholar] [CrossRef]
- Deschanel, S.; Rhouma, W.B.; Weiss, J. Acoustic emission multiplets as early warnings of fatigue failure in metallic materials. Sci. Rep. 2017, 7, 1–10. [Google Scholar] [CrossRef] [PubMed]
- Roberts, T.M.; Talebzadeh, M. Fatigue life prediction based on crack propagation and acoustic emission count rates. J. Constr. Steel Res. 2003, 59, 679–694. [Google Scholar] [CrossRef]
- Keshtgar, A.; Modarres, M. Acoustic emission-based fatigue crack growth prediction. In Proceedings of the Annual Reliability and Maintainability Symposium (RAMS), Orlando, FL, USA, 28–31 January 2013; pp. 1–5. [Google Scholar]
- Shen, Y.; Wang, J.; Xu, W. Nonlinear features of guided wave scattering from rivet hole nucleated fatigue cracks considering the rough contact surface condition. Smart Mater. Struct. 2018, 27, 1–15. [Google Scholar] [CrossRef]
- Zhang, L.; Ozevin, D.; Hardman, W.; Timmons, A. Acoustic Emission Signatures of Fatigue Damage in Idealized Bevel Gear Spline for Localized Sensing. Metals 2017, 7, 242. [Google Scholar] [CrossRef] [Green Version]
- Bhuiyan, M.Y.; Giurgiutiu, V. The signatures of acoustic emission waveforms from fatigue crack advancing in thin metallic plates. Smart Mater. Struct. 2018, 27, 15019. [Google Scholar] [CrossRef] [Green Version]
- Bhuiyan, Y.; Bao, J.; Poddar, B. Toward identifying crack-length-related resonances in acoustic emission waveforms for structural health monitoring applications. Struct. Heal. Monit. 2018, 17, 577–585. [Google Scholar] [CrossRef]
- Bhuiyan, M.Y.; Giurgiutiu, V. Experimental and Computational Analysis of Acoustic Emission Waveforms for SHM applications. In Proceedings of the 11th International Workshop on Structural Health Monitoring, Stanford, CA, USA, 12–14 September 2017; pp. 1–7. [Google Scholar]
- Joseph, R.; Bhuiyan, M.Y.; Giurgiutiu, V. Acoustic emission from vibration of cracked sheet-metal samples. Eng. Fract. Mech. 2019, 217, 106544. [Google Scholar] [CrossRef]
- Joseph, R.; Giurgiutiu, V. Acoustic emission (AE) fatigue-crack source modeling and simulation using moment tensor concept. In Proceedings of the SPIE 11379, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems, online only. 26 May 2020. [Google Scholar]
- Wisner, B.; Mazur, K.; Perumal, V.; Baxevanakis, K.P.; An, L.; Feng, G.; Kontsos, A. Acoustic emission signal processing framework to identify fracture in aluminum alloys. Eng. Fract. Mech. 2019, 210, 367–380. [Google Scholar] [CrossRef] [Green Version]
- Carpinteri, A.; Lacidogna, G.; Niccolini, G.; Puzzi, S. Critical defect size distributions in concrete structures detected by the acoustic emission technique. Meccanica 2008, 43, 349–363. [Google Scholar] [CrossRef]
- Farhidzadeh, A.; Salamone, S. Introducing Sifted b-Value Analysis and a New Crack Classification for Monitoring Reinforced Concrete Shear Walls by Acoustic Emission. In Proceedings of the 54th Acoustic Emission Working Group Meeting, Princeton, NJ, USA, 21–22 May 2012; Volume 1, pp. 55–57. [Google Scholar]
- Ohno, K.; Ohtsu, M. Crack classification in concrete based on acoustic emission. Constr. Build. Mater. 2010, 24, 2339–2346. [Google Scholar] [CrossRef]
- Farhidzadeh, A.; Salamone, S.; Dehghan-Niri, E.; Luna, B.; Whittaker, A. Damage Assessment of Reinforced Concrete Shear Walls by Acoustic Emission. NDE/NDT Highw. Bridg. Struct. Mater. Technol. 2012, 2014, 74–81. [Google Scholar]
- Wirtz, S.F.; Beganovic, N.; Söffker, D. Investigation of damage detectability in composites using frequency-based classification of acoustic emission measurements. Struct. Health Monit. 2019, 18, 1207–1218. [Google Scholar] [CrossRef]
- Hamdi, S.E.; le Duff, A.; Simon, L.; Plantier, G.; Sourice, A.; Feuilloy, M. Acoustic emission pattern recognition approach based on Hilbert-Huang transform for structural health monitoring in polymer-composite materials. Appl. Acoust. 2013, 74, 746–757. [Google Scholar] [CrossRef]
- Crivelli, D.; Guagliano, M.; Eaton, M.; Pearson, M.; Al-Jumaili, S.; Holford, K.; Pullin, R. Localisation and identification of fatigue matrix cracking and delamination in a carbon fibre panel by acoustic emission. Compos. Part B Eng. 2015, 74, 1–12. [Google Scholar] [CrossRef] [Green Version]
- de Oliveira, R.; Marques, A.T. Health monitoring of FRP using acoustic emission and artificial neural networks. Comput. Struct. 2008, 86, 367–373. [Google Scholar] [CrossRef]
- Suzuk, H.I.; Kinjo, T.; Hayashi, Y.; Takemoto, M.; Ono, K. Wavelet transform of acoustic emission signals. J. Acoust. Emiss. 1996, 14, 69–84. [Google Scholar]
- Martínez-jequier, J.; Gallego, A.; Suárez, E.; Javier, F.; Valea, Á. Real-time damage mechanisms assessment in CFRP samples via acoustic emission Lamb wave modal analysis. Compos. Part B 2015, 68, 317–326. [Google Scholar] [CrossRef]
- Marec, A.; Thomas, J.; El Guerjouma, R. Damage characterization of polymer-based composite materials: Multivariable analysis and wavelet transform for clustering acoustic emission data. Mech. Syst. Signal Process. 2008, 22, 1441–1464. [Google Scholar] [CrossRef]
- Ni, Q.; Iwamoto, M. Wavelet transform of acoustic emission signals in failure of model composites. Eng. Fract. Mech. 2002, 69, 717–728. [Google Scholar] [CrossRef]
- Joseph, R.; Giurgiutiu, V. Non-crack-growth acoustic emission observed in controlled-stress-intensity-factor high-cycle-fatigue tests. J. Sound Vib. 2020. Under review. [Google Scholar]
- Auld, B.A. Acoustic Fields and Waves in Solids, 2nd ed.; Kreiger: Malabar, FL, USA, 1990. [Google Scholar]
- Shen, Y.; Giurgiutiu, V. Effective non-reflective boundary for Lamb waves: Theory, finite element implementation, and applications. Wave Motion. 2015, 58, 22–41. [Google Scholar] [CrossRef] [Green Version]
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. |
© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Share and Cite
Joseph, R.; Giurgiutiu, V. Analytical and Experimental Study of Fatigue-Crack-Growth AE Signals in Thin Sheet Metals. Sensors 2020, 20, 5835. https://doi.org/10.3390/s20205835
Joseph R, Giurgiutiu V. Analytical and Experimental Study of Fatigue-Crack-Growth AE Signals in Thin Sheet Metals. Sensors. 2020; 20(20):5835. https://doi.org/10.3390/s20205835
Chicago/Turabian StyleJoseph, Roshan, and Victor Giurgiutiu. 2020. "Analytical and Experimental Study of Fatigue-Crack-Growth AE Signals in Thin Sheet Metals" Sensors 20, no. 20: 5835. https://doi.org/10.3390/s20205835