William J. Parnell
William J. Parnell
Professor of Applied Mathematics and EPSRC research fellow, School of Mathematics, University of
Verified email at manchester.ac.uk - Homepage
Cited by
Cited by
Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves
WJ Parnell, ID Abrahams
Wave Motion 43 (6), 474-498, 2006
Hyperelastic cloaking theory: transformation elasticity with pre-stressed solids
AN Norris, WJ Parnell
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2012
Nonlinear pre-stress for cloaking from antiplane elastic waves
WJ Parnell
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2012
Employing pre-stress to generate finite cloaks for antiplane elastic waves
WJ Parnell, AN Norris, T Shearer
Applied Physics Letters 100 (17), 171907, 2012
The influence of mesoscale porosity on cortical bone anisotropy. Investigations via asymptotic homogenization
WJ Parnell, Q Grimal
Journal of the Royal Society Interface 6 (30), 97-109, 2009
On nonlinear viscoelastic deformations: a reappraisal of Fung's quasi-linear viscoelastic model
R De Pascalis, ID Abrahams, WJ Parnell
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2014
Effective wave propagation in a prestressed nonlinear elastic composite bar
WJ Parnell
IMA journal of applied mathematics 72 (2), 223-244, 2007
A two-parameter model of the effective elastic tensor for cortical bone
Q Grimal, G Rus, WJ Parnell, P Laugier
Journal of biomechanics 44 (8), 1621-1625, 2011
Homogenization for wave propagation in periodic fibre-reinforced media with complex microstructure. i—theory
WJ Parnell, ID Abrahams
Journal of the Mechanics and Physics of Solids 56 (7), 2521-2540, 2008
Antiplane elastic wave cloaking using metamaterials, homogenization and hyperelasticity
WJ Parnell, T Shearer
Wave Motion 50 (7), 1140-1152, 2013
The Eshelby, Hill, moment and concentration tensors for ellipsoidal inhomogeneities in the Newtonian potential problem and linear elastostatics
WJ Parnell
Journal of Elasticity 125 (2), 231-294, 2016
Estimating the dynamic effective mass density of random composites
PA Martin, A Maurel, WJ Parnell
The Journal of the Acoustical Society of America 128 (2), 571-577, 2010
Analytical methods to determine the effective mesoscopic and macroscopic elastic properties of cortical bone
WJ Parnell, MB Vu, Q Grimal, S Naili
Biomechanics and modeling in mechanobiology 11 (6), 883-901, 2012
Source amplitudes for active exterior cloaking
AN Norris, FA Amirkulova, WJ Parnell
Inverse Problems 28 (10), 105002, 2012
Active elastodynamic cloaking
AN Norris, FA Amirkulova, WJ Parnell
Mathematics and Mechanics of Solids 19 (6), 603-625, 2014
Multiple scattering of flexural waves by random configurations of inclusions in thin plates
WJ Parnell, PA Martin
Wave Motion 48 (2), 161-175, 2011
Antiplane elastic wave propagation in pre-stressed periodic structures; tuning, band gap switching and invariance
EG Barnwell, WJ Parnell, ID Abrahams
Wave Motion 63, 98-110, 2016
Coupled thermoelasticity in a composite half-space
WJ Parnell
Journal of engineering mathematics 56 (1), 1-21, 2006
Active cloaking of flexural waves in thin plates
G Futhazar, WJ Parnell, AN Norris
Journal of Sound and Vibration 356, 1-19, 2015
Homogenization methods to approximate the effective response of random fibre-reinforced composites
N Willoughby, WJ Parnell, AL Hazel, ID Abrahams
International Journal of Solids and Structures 49 (13), 1421-1433, 2012
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