Computational Study of Scattering Elastic Waves Due to a Teredo Marine Borer-Like Cylindrical Defect Embedded in an Isotropic Solid Cylinder
Ahmed Murgab Mohammed Mahil, Wing Kong Chiu, Benjamin Vien
download PDFAbstract. This paper showcases a quantitative investigation of scattering of ultrasonic waves experiences when impinging on a cylindrical defect inside a solid cylinder. Such cylindrical bores reduce the structural capacity of the cylinder, these defects constitute an even greater risk as they cannot be observed from the surface. The focal point investigated herein is to develop a better understanding of the wave’s scattering when interacting with defects of cylindrical bore, mimicking the Teredo marine borer, within the solid cylinder. Two-dimensional Finite Element simulations are carried out using ABAQUS software. A 200 kHz 5.5 cycle Hann windowed excitation on an isotropic cylinder is simulated a point source excitation at the circumference of the cylinder is used. The scattering wave fields from a range of defect diameters through the solid cylinder are presented. Using Two-Dimensional Fast Fourier Transform, the wave mode and velocity of the scattered wavefield along various directions was identified in cylindrical coordinates, to decouple the wave modes. Computational results are presented for the scattering pattern as a function of cylindrical bore diameter size relative to wavelength. This study serves as an efficient approach when choosing an input for ultrasonic imaging, with the aim to obtain high fidelity imaging resolution for structural health monitoring applications.
Keywords
Bulk Waves, Scattered Field, Finite Element Analysis, Group Velocity, Cylindrical Defect
Published online 2/20/2021, 8 pages
Copyright © 2021 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Ahmed Murgab Mohammed Mahil, Wing Kong Chiu, Benjamin Vien, Computational Study of Scattering Elastic Waves Due to a Teredo Marine Borer-Like Cylindrical Defect Embedded in an Isotropic Solid Cylinder, Materials Research Proceedings, Vol. 18, pp 105-112, 2021
DOI: https://doi.org/10.21741/9781644901311-13
The article was published as article 13 of the book Structural Health Monitoring
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] Salmiah, K.R.U., RESISTANCE OF FIVE TIMBER SPECIES TO MARINE BORER ATTACK. Journal of Tropical Forest Science, 2015. 27 ((3)): p. 400–412
[2] Charles, F., et al., Wood decay at sea. Journal of Sea Research, 2016. 114: p. 22-25. https://doi.org/10.1016/j.seares.2016.05.002
[3] Kelly, S.W., UNDERWATER INSPECTION CRITERIA. 1999, NAVAL FACILITIES ENGINEERING SERVICE CENTER: Port Hueneme, California.
[4] Nowak, T.P., J. Jasieńko, and K. Hamrol-Bielecka, In situ assessment of structural timber using the resistance drilling method – Evaluation of usefulness. Construction and Building Materials, 2016. 102: p. 403-415. https://doi.org/10.1016/j.conbuildmat.2015.11.004
[5] Greenawald, E.C., et al. Underwater x-ray tomography of composite sonar domes via collimated backscatter imaging. in Nondestructive Evaluation of Materials and Composites II. 1998. International Society for Optics and Photonics. https://doi.org/10.1117/12.301510
[6] Riis, N., et al., Limited-data x-ray CT for underwater pipeline inspection. Inverse Problems, 2018. 34(3): p. 034002. https://doi.org/10.1088/1361-6420/aaa49c
[7] Wang Xiping, F.D., Crystal Pilon, Brian K. Brashaw, Robert J. Ross, and Roy F. Pellerin, Assessment of decay in standing timber using stress wave timing nondestructive evaluation tools: A guide for use and interpretation. 2004, United States Department of Agriculture Forest Service Forest Products Laboratory. https://doi.org/10.2737/FPL-GTR-147
[8] Kato, K., Reflection of sound wave due to a hollow cylinder in an elastic body. Osaka University, Memoirs of the Institute of Scientific and Industrial Research, 1952. 9: p. 16-20.
[9] White, R.M., Elastic Wave Scattering at a Cylindrical Discontinuity in a Solid. The Journal of the Acoustical Society of America, 1958. 30(8): p. 771-785. https://doi.org/10.1121/1.1909759
[10] Lewis, T.S. and D.W. Kraft, Mode conversion relation for elastic waves scattered by a cylindrical obstacle in a solid. The Journal of the Acoustical Society of America, 1974. 56(6): p. 1899-1901. https://doi.org/10.1121/1.1903529
[11] Zhang, J., et al., Study on the Single Scattering of Elastic Waves by a Cylindrical Fiber with a Partially Imperfect Bonding Using the Collocation Point Method. Shock and Vibration, 2018. 2018: p. 1-14. https://doi.org/10.1155/2018/7516402
[12] Kuo, H.-Y., Y.-A. Huang, and C.-H. Sun, Scattering of anti-plane shear waves by arbitrarily distributed circular cylinders in a functionally graded multiferroic fibrous composite. Acta Mechanica, 2017. 229(4): p. 1483-1501. https://doi.org/10.1007/s00707-017-2079-x
[13] Bucur, V., Acoustics of Wood. 2nd Edition ed, ed. S.S.i.W. Science. 2006: Springer. https://doi.org/10.1007/3-540-30594-7
[14] Yan, N., Numerical Modelling and Condition Assessment of Timber Utility Poles using Stress Wave Techniques. 2015, University of Technology, Sydney.
[15] Wang, X. and L. Sudak, Scattering of elastic waves by multiple elastic circular cylinders with imperfect interface. Waves in Random and Complex Media, 2007. 17(2): p. 159-187. https://doi.org/10.1080/17455030601118376
[16] Liu, Y., Wu, R.S. and Ying, C.F, Scattering of elastic waves by an elastic or viscoelastic cylinder. Geophysical Journal International, 2000. 142(2): p. 439–460. https://doi.org/10.1046/j.1365-246x.2000.00173.x
[17] Grave, B.H., Natural history of shipworm, Teredo navalis, at Woods Hole, Massachusetts. The Biological Bulletin, 1928. 55(4): p. 260-282. https://doi.org/10.2307/1537080
[18] Sikdar, S. and S. Banerjee, Guided wave propagation in a honeycomb composite sandwich structure in presence of a high density core. Ultrasonics, 2016. 71: p. 86-97. https://doi.org/10.1016/j.ultras.2016.05.025
[19] Bingham, J. and M. Hinders, 3D elastodynamic finite integration technique simulation of guided waves in extended built-up structures containing flaws. Journal of Computational Acoustics, 2010. 18(02): p. 165-192. https://doi.org/10.1142/S0218396X10004097
[20] Courant, R., K. Friedrichs, and H. Lewy, Über die partiellen Differenzengleichungen der mathematischen Physik. Mathematische annalen, 1928. 100(1): p. 32-74. https://doi.org/10.1007/BF01448839
[21] Leckey, C.A.C., et al., Simulation of guided-wave ultrasound propagation in composite laminates: Benchmark comparisons of numerical codes and experiment. Ultrasonics, 2018. 84: p. 187-200. https://doi.org/10.1016/j.ultras.2017.11.002
[22] Chiu, W.K., L.R.F. Rose, and B.S. Vien, Scattering of the Edge-guided Wave by an Edge Crack at a Circular Hole in an Isotropic Plate. Procedia Engineering, 2017. 188: p. 309-316. https://doi.org/10.1016/j.proeng.2017.04.489
[23] Shull, P.J., Nondestructive evaluation: theory, techniques, and applications. 2002: CRC press. https://doi.org/10.1201/9780203911068
[24] Aldrin, J.C., et al., Scattering of obliquely incident shear waves from a cylindrical cavity. The Journal of the Acoustical Society of America, 2011. 129(6): p. 3661-3675. https://doi.org/10.1121/1.3583540
[25] Nagy, P.B., M. Blodgett, and M. Golis, Weep hole inspection by circumferential creeping waves. NDT & E International, 1994. 27(3): p. 131-142. https://doi.org/10.1016/0963-8695(94)90604-1
[26] Doherty, C. and W.K. Chiu, Scattering of ultrasonic-guided waves for health monitoring of fuel weep holes. Structural Health Monitoring, 2012. 11(1): p. 27-42. https://doi.org/10.1177/1475921710395814
