Ultrasonic guided waves reflection from simple dent in pipe for defect rate estimation and parameters determination of axisymmetric wave generation source

Document Type: Research Paper


Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.


In this paper, the reflection of ultrasonic guided waves from simple dent in pipes has been investigated using finite element method and the relationship between reflection coefficient of these waves and deformation rate has been determined. Also, the effect of the parameters of wave generation source on the generated wave field has been investigated using normal modes expansion method. At first, ultrasonic guided waves propagation has been studied in an intact pipe to obtain multiple modes using of displacement potential method. The characteristic equation has been solved using a matlab code in order to draw the dispersion curves of phase and group velocities in different frequencies for longitudinal modes, and it is observed that mode L(0,2) is a suitable mode for inspection in a range of frequency 200-300 kHz. The single sided dent is created in pipe using a plasticity analysis with the aid of finite element simulation and then L(0,2) mode is generated in pipe. By Investigation of the reflection of this mode from dent, the relationship between reflection coefficient and deformation rate is specified and it has been observed that this relationship is almost linear by curve fitting. Also, it has been observed in case of partial loading by wave generation source that is a transducer with a specified axial length and circumferential coverage angle, a combination of different modes such as L(0,2) mode is generated in pipe, if using a axisymmetric wave generation source including 8 segments 45 degree, only L(0,2) symmetric mode is generated.


[1]           D. N. Alleyne, P. Cawley, The effect of discontinuities on the long-range propagation of Lamb waves in pipes, Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, Vol. 210, No. 3, pp. 217-226, 1996.

[2]           D. N. Alleyne, M. J. S. Lowe, P. Cawley, The reflection of guided waves from circumferential notches in pipes, Journal of Applied Mechanics, Vol. 65, No. 3, pp. 635-641, 1998.

[3]           M. J. S. Lowe, D. N. Alleyne, P. Cawley, The mode conversion of a guided wave by a part-circumferential notch in a pipe, Journal of Applied mechanics, Vol. 65, No. 3, pp. 649-656, 1998.

[4]           D. N. Alleyne, B. Pavlakovic, M. J. S. Lowe, P. Cawley, Rapid, long range inspection of chemical plant pipework using guided waves, in Proceeding of, AIP, pp. 180-187.

[5]           K. A. Macdonald, A. Cosham, C. R. Alexander, P. Hopkins, Assessing mechanical damage in offshore pipelines–Two case studies, J Engineering Failure Analysis, Vol. 14, No. 8, pp. 1667-1679, 2007.

[6]           W. B. Na, T. Kundu, Underwater pipeline inspection using guided waves, J. Pressure Vessel Technol., Vol. 124, No. 2, pp. 196-200, 2002.

[7]           J. L. Rose, 2014, Ultrasonic guided waves in solid media, Cambridge university press,

[8]           S. Ma, Z. Wu, Y. Wang, K. Liu, The reflection of guided waves from simple dents in pipes, J Ultrasonics, Vol. 57, pp. 190-197, 2015.

[9]           F. P. Baaijens, W. R. Trickey, T. A. Laursen, F. Guilak, Large deformation finite element analysis of micropipette aspiration to determine the mechanical properties of the chondrocyte, Annals of biomedical engineering, Vol. 33, No. 4, pp. 494-501, 2005.

[10]         M. Dao, C. T. Lim, S. Suresh, Mechanics of the human red blood cell deformed by optical tweezers, Journal of the Mechanics and Physics of Solids, Vol. 51, No. 11-12, pp. 2259-2280, 2003.

[11]         D. N. Alleyne, P. Cawley, Optimization of Lamb wave inspection techniques, J NDT&E International, Vol. 25, No. 1, pp. 11-22, 1992.

[12]         M. J. S. Lowe, D. N. Alleyne, P. Cawley, Defect detection in pipes using guided waves, J Ultrasonics, Vol. 36, No. 1-5, pp. 147-154, 1998.

[13]         J. Mu, Guided wave propagation and focusing in viscoelastic multilayered hollow cylinders,  Thesis, Ph. D thesis, Engineering Mechanics, The Pennsylvania State University, 2008.

[14]         P. T. Birgani, K. N. Tahan, S. Sodagar, M. Shishesaz, Suitable parameters determination of lamb wave generation source with low-attenuation for three-layer adhesive joints inspection, J Modares Mechanical Engineering

Vol. 15, No. 3, pp. 63-74, 2015.

[15]         J. J. Ditri, J. L. Rose, Excitation of guided elastic wave modes in hollow cylinders by applied surface tractions, Journal of applied physics, Vol. 72, No. 7, pp. 2589-2597, 1992.

[16]         J. J. Ditri, J. L. Rose, Excitation of guided waves in generally anisotropic layers using finite sources, Journal Applied Mechanics, Vol. 61, pp. 330-338, 1994.

[17]         J. Achenbach, 1984, Wave propagation in elastic solids, North Holland, Amsterdam, 1 st paperbacked.