Imperial College London
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ProfessorMichaelLowe

Faculty of Engineering, Department 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{Huang:2022:10.1098/rsta.2021.0382,
author = {Huang, M and Rokhlin, SI and Lowe, MJS},
doi = {10.1098/rsta.2021.0382},
journal = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
pages = {20210382--20210382},
title = {Appraising scattering theories for polycrystals of any symmetry using finite elements.},
url = {http://dx.doi.org/10.1098/rsta.2021.0382},
volume = {380},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - This paper uses three-dimensional grain-scale finite-element (FE) simulations to appraise the classical scattering theory of plane longitudinal wave propagation in untextured polycrystals with statistically equiaxed grains belonging to the seven crystal symmetries. As revealed from the results of 10 390 materials, the classical theory has a linear relationship with the elastic scattering factor at the quasi-static velocity limit, whereas the reference FE and self-consistent (SC) results generally exhibit a quadratic relationship. As supported by the results of 90 materials, such order difference also extends to the attenuation and phase velocity, leading to larger differences between the classical theory and the FE results for more strongly scattering materials. Alternatively, two approximate models are proposed to achieve more accurate calculations by including an additional quadratic term. One model uses quadratic coefficients from quasi-static SC velocity fits and is thus symmetry-specific, while the other uses theoretically determined coefficients and is valid for any individual material. These simple models generally deliver more accurate attenuation and phase velocity (particularly the second model) than the classical theory, especially for strongly scattering materials. However, the models are invalid for the attenuation of materials with negative quadratic coefficients. This article is part of the theme issue 'Wave generation and transmission in multi-scale complex media and structured metamaterials (part 1)'.
AU  - Huang,M
AU  - Rokhlin,SI
AU  - Lowe,MJS
DO  - 10.1098/rsta.2021.0382
EP  - 20210382
PY  - 2022///
SN  - 1364-503X
SP  - 20210382
TI  - Appraising scattering theories for polycrystals of any symmetry using finite elements.
T2  - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
UR  - http://dx.doi.org/10.1098/rsta.2021.0382
UR  - https://www.ncbi.nlm.nih.gov/pubmed/35858092
UR  - https://royalsocietypublishing.org/doi/10.1098/rsta.2021.0382
UR  - http://hdl.handle.net/10044/1/98687
VL  - 380
ER  -
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