Abstract
In this paper, predictions of two models for the propagation of ultrasonic beams through a two-dimensional, bimetallic weld geometry are compared. The finite element method can predict beam propagation through quite general geometry with high accuracy. This model, however, requires significant computational time. On the other hand, the approximate Gauss-Hermite model offers considerably greater computational speed, but has lower accuracy in certain regions and cannot treat the most general geometries and inhomogeneities in material properties. This paper compares the performances of the two models for the case of the two-dimensional, bimetallic weld consisting of multiple layers, some of which have anisotropic properties. It is found that the results of the two models are in good agreement in the vicinity of the central ray, and that the deviation increases as one moves away from the axis. Also, as the beam propagates through multiple interfaces, the accuracy of the Gauss-Hermite solution decreases.
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References
J. A. Ogilvy, A layered media model for ray propagation in anisotropic, inhomogeneous materials,Appl. Math. Mod. 14237–247. (1990).
H. Zhu, A method to evaluate three-dimensional time-harmonic elastodynamic Green's function in transverseley isotropic media,J. Appl. Mech. 59S97-S101 (1992).
A. H. Harker, J. A. Ogilvy, and J. A. G. Temple, Modeling ultrasonic inspection of austenitic weld,J. Nondestr. Eval. 9155–165 (1990).
W. Lord, R. Ludwig, and Z. You, Development in ultrasonic modeling with finite element analysis,J. Nondestr. Eval. 9129–143 (1990).
B. Nouailhas, G. V. Chi Nguyen, F. Pons, and S. Vermersch, Ultrasonic modeling and experiments: An industrial case: Bimetallic weld in nuclear power plants,J. Nondestr. Eval. 9145–153 (1990).
B. P. Newberry and R. B. Thompson, A paraxial theory for the propagation of ultrasonic beam in anisotropic solid,J. Acoust, Soc. Am. 852290–2300 (1989).
B. P. Newberry, A. Minachi, and R. B. Thompson, Ultrasonic beam propagation in cast stainless steel, inReview of Progress in QNDE Vol. 8B, D. O. Thompson and D. E. Chimenti, eds. (Plenum, New York, 1989); pp. 2089–2096.
A. Minachi, Z. You, R. B. Thompson, and W. Lord, Predictions of the Gauss-Hermite beam model and finite element method for ultrasonic propagation through anisotropic stainless steel, inIEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control (in press).
T. J. R. Hughes,The Finite Element Method (Prentice Hall, Englewood Cliffs, NJ, 1987.
O. C. Zienkiewicz,The Finite Element Method (McGraw-Hill Book Co. Ltd., London, 1977).
D. K. Vaughan and E. Richardson,FLEX User's Manual Version 1-H.1 (Weidlinger Associates, Los Altos, CA, 1990).
J. Lysmer and R. L. Kuhlemeyer,Finite Dynamic Model for Infinite Media, Vol. 95 (ASCE Inl. Eng. Mech. Div., 1969).
R. B. Thompson, T. A. Gray, J. H. Rose, V. G. Kogan, and E. F. Lopes, The Radiation of Elliptical and Bicylindrically Focused Piston Transducers,J. Acoust. Soc. Am. 821818–1828 (1987).
E. Cavanagh and B. D. Cook, Lens in the nearfield of a circular transducer: Gaussian-Laguerre formulation,J. Acoust. Soc. Am. 69345–351 (1981).
R. B. Thompson and E. F. Lopes, The effects of focusing and refraction on Gaussian ultrasonic beamsJ. Nondestr. Eval. 4107–123 (1984).
F. J. Margetan, T. A. Gray, R. B. Thompson, and B. P. Newberry, A model for ultrasound transmission through graphite composite plates containing delaminations, inReview of Progress in QNDE, Vol. 7B, D. O. Thompson and D. E. Chimenti, eds. (Plenum, New York, 1988); pp. 1083–1092.
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Minachi, A., Mould, J. & Thompson, R.B. Ultrasonic beam propagation through a bimetallic weld—A comparison of predictions of the Gauss-Hermite beam model and finite element method. J Nondestruct Eval 12, 151–158 (1993). https://doi.org/10.1007/BF00567571
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DOI: https://doi.org/10.1007/BF00567571