Elastic shear wave scattering by randomly rough surfaces

Haslinger, Stewart G ORCID: 0000-0003-0790-1701, Lowe, Michael JS, Huthwaite, Peter, Craster, Richard V and Shi, Fan (2020) Elastic shear wave scattering by randomly rough surfaces. Journal of the Mechanics and Physics of Solids, 137. p. 103852.

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Abstract

Characterizing cracks within elastic media forms an important aspect of ultrasonic non-destructive evaluation (NDE) where techniques such as time-of-flight diffraction and pulse-echo are often used with the presumption of scattering from smooth, straight cracks. However, cracks are rarely straight, or smooth, and recent attention has focussed upon rough surface scattering primarily by longitudinal wave excitations. We provide a comprehensive study of scattering by incident shear waves, thus far neglected in models of rough surface scattering despite their practical importance in the detection of surface-breaking defects, using modelling, simulation and supporting experiments. The scattering of incident shear waves introduces challenges, largely absent in the longitudinal case, related to surface wave mode-conversion, the reduced range of validity of the Kirchhoff approximation (KA) as compared with longitudinal incidence, and an increased importance of correlation length. The expected reflection from a rough defect is predicted using a statistical model from which, given the angle of incidence and two statistical parameters, the expected reflection amplitude is obtained instantaneously for any scattering angle and length of defect. If the ratio of correlation length to defect length exceeds a critical value, which we determine, there is an explicit dependence of the scattering results on correlation length, and we modify the modelling to find this dependence. The modelling is cross-correlated against Monte Carlo simulations of many different surface profiles, sharing the same statistical parameter values, using numerical simulation via ray models (KA) and finite element (FE) methods accelerated with a GPU implementation. Additionally we provide experimental validations that demonstrate the accuracy of our predictions.

Item Type:	Article
Uncontrolled Keywords:	elastic shear waves, randomly rough surface, Kirchoof approximation, stationary phase, non-destructive evaluation, correlation length
Depositing User:	Symplectic Admin
Date Deposited:	11 Mar 2020 14:22
Last Modified:	18 Jan 2023 23:58
DOI:	10.1016/j.jmps.2019.103852
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3078616