Imperial College London

ProfessorMichaelLowe

Faculty of EngineeringDepartment of Mechanical Engineering

Head of Department of Mechanical Engineering
 
 
 
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Contact

 

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

 
 
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Assistant

 

Ms Nina Hancock +44 (0)20 7594 7068

 
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Location

 

577DCity and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Van:2017:10.1098/rspa.2016.0738,
author = {Van, Pamel A and Sha, G and Rokhlin, SI and Lowe, MJS},
doi = {10.1098/rspa.2016.0738},
journal = {Royal Society of London. Philosophical Transactions A. Mathematical, Physical and Engineering Sciences},
title = {Finite element modelling of elastic wave propagation and scattering within heterogeneous media},
url = {http://dx.doi.org/10.1098/rspa.2016.0738},
volume = {473},
year = {2017}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - The scattering treated here arises when elastic waves propagate within a heterogeneous medium defined by random spatial fluctuation of its elastic properties. Whereas classical analytical studies are based on lower order scattering assumptions, numerical method s conversely present no such limitations by inherently incorporating multiple scattering. Until now, studies have typically been limited to 2D or 1D however, due to computational constraints. The present article seizes recent advances to realise a Finite Element formulation which solves the 3D elastodynamic scattering problem. The general methodology is described and further developed to enable the study of fundamental scattering behaviour in terms of the scattering induced attenuation and dispersion. In particular, the example of elastic waves propagating within polycrystalline materials is adoptedby using an established Voronoi approach to randomly generate representative models. The numerically observed scattering behaviour is compared against entirely independent but well-established analytical scattering theory. The quantitative agreement is found to be excellent across previously unvisitedscattering regimes; it is believed that this is the first quantitative validation of its kind which provides significant support towards the existence of the transitional scattering regime and facilitates future deployment of numerical methods for these problems.
AU - Van,Pamel A
AU - Sha,G
AU - Rokhlin,SI
AU - Lowe,MJS
DO - 10.1098/rspa.2016.0738
PY - 2017///
SN - 1364-503X
TI - Finite element modelling of elastic wave propagation and scattering within heterogeneous media
T2 - Royal Society of London. Philosophical Transactions A. Mathematical, Physical and Engineering Sciences
UR - http://dx.doi.org/10.1098/rspa.2016.0738
UR - http://hdl.handle.net/10044/1/42797
VL - 473
ER -