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William J. Parnell
William J. Parnell
Born	Broadbottom, England
Nationality	British
Alma mater	University of Bristol; University of Manchester
Known for	metamaterials etc
Awards	Whitehead Prize (2019)
	Scientific career
Fields	Applied Mathematics
Institutions	University of Manchester
Thesis	[https:// Something about waves] (199x)
Doctoral advisor	David Abrahams (mathematician) ;

William J. Parnell (born 19xx, quote reference) is a British Mathematician known for his work on acoustics, elastodynamics, nonlinear elasticity, wave propagation in heterogeneous media and metamaterials. He is currently a professor of applied mathematics in the Department of Mathematics, University of Manchester. He is currently Editor in Chief of Wave Motion, and in 2019 was awarded teh Whitehead Prize of the London Mathematical Society.

Contribution to elastodynamic metamaterials

During the 2010s there had a been a huge growth of interest in metamaterials, especially in connection with passive cloaking of electromagnetic waves However progress was limited in the theory of elastic wave cloaking using elastodynamic metamaterials, due to a severe bottleneck in the theory requiring that materials must lack a certain symmetry. ^[1] Parnell's contribution was the use of ideas from nonlinear elasticity. Pre-stressed nonlinear materials provide what might be considered natural metamaterials without needing elaborate ways to manufacture them. Parnell developed a theory of hyperelastic invariance of the partial differential equations governing small amplitude displacements to when nonlinear stress is imposed. The theory has important implications for seismology, non-destructive evaluation and teh development of advanced materials have the potential to be very significant. Give some references to these techniques being used.

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Education and career

Needs references structure in to narrative prose not a list

studied Mathematics at the University of Bristol,
University of Oxford where he gained a Masters degree in Mathematical Modelling and Scientific Computation. * PhD in Applied Mathematics from the University of Manchester, UK, in 2004.
research fellowships in Manchester
Professor in 2016.
worked extensively in the areas of acoustics, elastodynamics, nonlinear elasticity, wave propagation in heterogeneous media, metamaterials, and the general area of complex materials modelling.
served on the Editorial Board of Wave Motion (journal) since 2012. Currently EiC.
EPSRC research fellowship and he leads the Mathematics of Waves and Materials (MWM) research group in the School of Mathematics at Manchester.
Whitehead prize 2019