Imperial College London


Faculty of EngineeringDepartment of Mechanical Engineering

Head of Department of Mechanical Engineering



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BibTex format

author = {Craster, RV and Lowe, M and Shi, F and Xi, X},
doi = {10.1016/j.jmps.2016.04.003},
journal = {Journal of the Mechanics and Physics of Solids},
pages = {260--277},
title = {Diffuse scattered field of elastic waves from randomly rough surfaces using an analytical Kirchhoff theory},
url = {},
volume = {92},
year = {2016}

RIS format (EndNote, RefMan)

AB - We develop an elastodynamic theory to predict the diffuse scattered field ofelastic waves by randomly rough surfaces, for the first time, with the aid of theKirchhoff approximation (KA). Analytical expressions are derived incorporatingsurface statistics, to represent the expectation of the angular distribution of thediffuse intensity for different modes. The analytical solutions are successfullyverified with numerical Monte Carlo simulations, and also validated by comparisonwith experiments. We then apply the theory to quantitatively investigatethe effects of the roughness and the shear-to-compressional wave speed ratio onthe mode conversion and the scattering intensity, from low to high roughnesswithin the valid region of KA. Both the direct and the mode converted intensitiesare significantly affected by the roughness, which leads to distinct scatteringpatterns for different wave modes. The mode conversion effect is very strongaround the specular angle and it is found to increase as the surface appearsto be more rough. In addition, the 3D roughness induced coupling betweenthe out-of-plane shear horizontal (SH) mode and the in-plane modes is studied.The intensity of the SH mode is shown to be very sensitive to the out-of-planecorrelation length, being influenced more by this than by the RMS value of theroughness. However, it is found that the depolarization pattern for the diffusefield is independent of the actual value of the roughness.
AU - Craster,RV
AU - Lowe,M
AU - Shi,F
AU - Xi,X
DO - 10.1016/j.jmps.2016.04.003
EP - 277
PY - 2016///
SN - 0022-5096
SP - 260
TI - Diffuse scattered field of elastic waves from randomly rough surfaces using an analytical Kirchhoff theory
T2 - Journal of the Mechanics and Physics of Solids
UR -
UR -
VL - 92
ER -