(Ultra)Sound Mathematics Ltd.

Our publications on ultrasound

2016

1.  M. Darmon,  V. Dorval, A. Kamta Djakou, L. Fradkin and S. Chatillon,  A system model for ultrasonic NDT based on the Physical Theory of Diffraction (PTD), Ultrasonics, 64, 115–127.
2.  B. Lü, M. Darmon, L. Fradkin and C. Potel, Numerical comparison of acoustic wedge models, with application to ultrasonic telemetry, Ultrasonics,  65, 5-9
3.  L.J. Fradkin, M. Darmon, S. Chatillon and P. Calmon, A semi-numerical model for near-critical angle scattering, The Journal of the Acoustical Society of America,  139 (1), 141-150.

2015

1.  V. Dorval, M. Darmon, S. Chatillon and L. Fradkin,, Simulation of the UT inspection of planar defects using a generic GTD-Kirchhoff approach, 41ST ANNUAL REVIEW OF PROGRESS IN QUANTITATIVE NONDESTRUCTIVE EVALUATION, 34, 1650 – 1756.
2.  A.K. Djakou, M Darmon, L Fradkin and C Potel, The Uniform geometrical Theory of Diffraction for elastodynamics: Plane wave scattering from a half-plane, The Journal of the Acoustical Society of America, 138 (5), 3272-3281.

2014

1.K. Mohammadi, D. Asimaki and L. Fradkin,  Scattering of In-Plane Waves by Elastic Wedges,  American Geophysical Union, Fall Meeting 2014, abstract #S31C-4418.

2013

1.  V. Zernov, L. Fradkin, M. Darmon and P. Calmon, Wedge diffraction of a critically incident Gaussian beam, Wave Motion, 50(40), 708-22, 2013.
2. L. Fradkn, M.Harmer and  M. Darmon, Edge Diffraction Coefficients around Critical Rays, Proc. of Anglo-French Physical Acoustics Conference GDR-AFPAC, Journal of Physics: Conference Series 498 (2014) 012010 doi:10.1088/1742-6596/498/1/012010.
3.  L. Fradkin, V. Zernov, G. Elston, R. Taneja,  I. Bell, D. Lines, J. Wharrie and P. Fitzgerald, Towards semi-automated non-destructive evaluation, Journal of Physics: Conference Series 457 012008, doi:10.1088/1742-6596/457/1/012008.

2012

1. V.  Zernov and L. Fradkin, A refinement of the Kitchhoff Approximation to the Elastic field Scattered by Straight Edged Cracks, Ultrasonics, 52(7), 830 - 5.
2.  Darmon M., Chatillon S., Mahaut. S., Calmon P., Fradkin L and Zernov V., Recent advances in semi-analytical scattering models for NDT, Proc. of Anglo-French Physical Acoustics Conference GDR-AFPAC, Journal of Physics: Conference Series, 269, http://iopscience.iop.org/1742-6596/353/1.

2011

1. Zernov V., Fradkin L. and Mudge P. "Guided waves in overlapping grouted plates immersed in water", Ultrasonics, 5(1), 57 - 64.
2. Gautesen A. and Fradkin L. "Diffraction by a two-dimensional traction free wedge", SIAM J. Appl. Math, 70 (8), pp. 3065-3085.
3. Fradkin L., Gautesen A, Zernov V., and Darmon A. “Elastic wave diffraction by infinite wedges”, Proc. of Anglo-French Physical Acoustics Conference GDR-AFPAC, Journal of Physics: Conference Series, 269, 012021 doi:10.1088/1742-6596/269/1/012021.
4. Darmon M., Chatillon S., Mahaut. S., Calmon P., Fradkin L and Zernov V. “Recent advances in semi-analytical scattering models for NDT”, Proc. of Anglo-French Physical Acoustics Conference GDR-AFPAC, Journal of Physics: Conference Series, 269, 012013, doi:10.1088/1742-6596/269/1/012013.

2010

1. Fradkin L. and Stacey R. "The high-frequency description of scatter of a plane compressional wave by an elliptic crack", Ultrasonics, 50(4-5), 529-538.



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