Imperial College London


Faculty of EngineeringDepartment of Mechanical Engineering

Head of Department of Mechanical Engineering



+44 (0)20 7594 7000m.lowe Website




Ms Nina Hancock +44 (0)20 7594 7068




577DCity and Guilds BuildingSouth Kensington Campus






BibTex format

author = {Van, Pamel A and Sha, G and Lowe, MJS and Rokhlin, S},
doi = {10.1121/1.5031008},
journal = {Jornal of the Acoustical Society of America},
pages = {2394--2408},
title = {Numerical and analytic modelling of elastodynamic scattering within polycrystalline materials},
url = {},
volume = {143},
year = {2018}

RIS format (EndNote, RefMan)

AB - The elastodynamic behavior of polycrystalline cubic materials is studied through the fundamental propagation properties, the attenuation and wave speed, of a longitudinal wave. Predictions made by different analytical models are compared to both numerical and experimental results. The numerical model is based on a three-dimensional Finite Element (FE) simulation which provides a full-physics solution to the scattering problem. The three main analytical models include the Far-Field Approximation (FFA), the Self-Consistent Approximation (SCA) to the reference medium, and the herein derived Second Order Approximation (SOA). The classic Stanke and Kino model is also included, which by comparison to the SOA, reveals the importance of the distribution of length-scales described in terms of the two-point correlation function in determining scattering behavior. Further comparison with the FE model demonstrates that the FFA provides a simple but satisfactory approximation, whereas the SOA shows all-around excellent agreement. The experimental wave velocity data evaluated against the SOA and SC reveal a better agreement when the Voigt reference is used in second order models. The use of full-physics numerical simulations has enabled the study of wave behavior in these random media which will be important to inform the ongoing development of analytical models and the understanding of observations.
AU - Van,Pamel A
AU - Sha,G
AU - Lowe,MJS
AU - Rokhlin,S
DO - 10.1121/1.5031008
EP - 2408
PY - 2018///
SN - 0001-4966
SP - 2394
TI - Numerical and analytic modelling of elastodynamic scattering within polycrystalline materials
T2 - Jornal of the Acoustical Society of America
UR -
UR -
VL - 143
ER -