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William J. Parnell
William J. Parnell
Professor of Applied Mathematics, Department of Mathematics, University of
Verified email at manchester.ac.uk - Homepage
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Cited by
Cited by
Year
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
1222014
Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves
WJ Parnell, ID Abrahams
Wave Motion 43 (6), 474-498, 2006
1142006
Hyperelastic cloaking theory: transformation elasticity with pre-stressed solids
AN Norris, WJ Parnell
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2012
1122012
Nonlinear pre-stress for cloaking from antiplane elastic waves
WJ Parnell
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2012
1002012
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
902016
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
892009
Employing pre-stress to generate finite cloaks for antiplane elastic waves
WJ Parnell, AN Norris, T Shearer
Applied Physics Letters 100 (17), 2012
872012
Compression properties of polymeric syntactic foam composites under cyclic loading
Z Yousaf, M Smith, P Potluri, W Parnell
Composites Part B: Engineering 186, 107764, 2020
812020
Effective wave propagation in a prestressed nonlinear elastic composite bar
WJ Parnell
IMA journal of applied mathematics 72 (2), 223-244, 2007
672007
Antiplane elastic wave cloaking using metamaterials, homogenization and hyperelasticity
WJ Parnell, T Shearer
Wave Motion 50 (7), 1140-1152, 2013
652013
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
652011
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
642008
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, 883-901, 2012
592012
Source amplitudes for active exterior cloaking
AN Norris, FA Amirkulova, WJ Parnell
Inverse Problems 28 (10), 105002, 2012
582012
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
572010
Active elastodynamic cloaking
AN Norris, FA Amirkulova, WJ Parnell
Mathematics and Mechanics of Solids 19 (6), 603-625, 2014
512014
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
502016
Multiple scattering of flexural waves by random configurations of inclusions in thin plates
WJ Parnell, PA Martin
Wave Motion 48 (2), 161-175, 2011
432011
Soft metamaterials with dynamic viscoelastic functionality tuned by pre-deformation
W Parnell, R De Pascalis
Philosophical Transactions of the Royal Society of London A, 2019
422019
On the computation of the Hashin–Shtrikman bounds for transversely isotropic two-phase linear elastic fibre-reinforced composites
WJ Parnell, C Calvo-Jurado
Journal of Engineering Mathematics 95, 295-323, 2015
412015
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