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Parnell, William J.

Author ID: parnell.william-j Recent zbMATH articles by "Parnell, William J."
Published as: Parnell, William J.; Parnell, W. J.; Parnell, William
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 275 times in 180 Documents Cited by Year
Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves. Zbl 1231.74373
Parnell, W. J.; Abrahams, I. D.
30
2006
Nonlinear pre-stress for cloaking from antiplane elastic waves. Zbl 1364.74049
Parnell, William J.
22
2012
Homogenization for wave propagation in periodic fibre-reinforced media with complex microstructure. I: Theory. Zbl 1171.74409
Parnell, W. J.; Abrahams, I. D.
19
2008
Hyperelastic cloaking theory: transformation elasticity with pre-stressed solids. Zbl 1371.74039
Norris, A. N.; Parnell, W. J.
18
2012
The Eshelby, Hill, moment and concentration tensors for ellipsoidal inhomogeneities in the Newtonian potential problem and linear elastostatics. Zbl 1353.31006
Parnell, William J.
17
2016
Effective wave propagation in a prestressed nonlinear elastic composite bar. Zbl 1118.74025
Parnell, W. J.
14
2007
Source amplitudes for active exterior cloaking. Zbl 1259.78020
Norris, Andrew N.; Amirkulova, Feruza A.; Parnell, William J.
10
2012
Antiplane elastic wave cloaking using metamaterials, homogenization and hyperelasticity. Zbl 1454.74090
Parnell, William J.; Shearer, Tom
10
2013
Coupled thermoelasticity in a composite half-space. Zbl 1110.74022
Parnell, William J.
9
2006
Antiplane elastic wave propagation in pre-stressed periodic structures; tuning, band gap switching and invariance. Zbl 1469.74074
Barnwell, Ellis G.; Parnell, William J.; David Abrahams, I.
8
2016
An integral equation method for the homogenization of unidirectional fibre-reinforced media; antiplane elasticity and other potential problems. Zbl 1404.74142
Joyce, Duncan; Parnell, William J.; Assier, Raphaël C.; Abrahams, I. David
8
2017
On the computation of the Hashin-Shtrikman bounds for transversely isotropic two-phase linear elastic fibre-reinforced composites. Zbl 1360.74024
Parnell, William J.; Calvo-Jurado, Carmen
7
2015
The inflation of viscoelastic balloons and hollow viscera. Zbl 1407.74024
De Pascalis, Riccardo; Parnell, William J.; Abrahams, I. David; Shearer, Tom; Daly, Donna M.; Grundy, David
7
2018
Active elastodynamic cloaking. Zbl 1298.74126
Norris, Andrew N.; Amirkulova, Feruza A.; Parnell, William J.
6
2014
A modified formulation of quasi-linear viscoelasticity for transversely isotropic materials under finite deformation. Zbl 1407.74021
Balbi, Valentina; Shearer, Tom; Parnell, William J.
6
2018
Multiple point scattering to determine the effective wavenumber and effective material properties of an inhomogeneous slab. Zbl 1267.74068
Parnell, William J.; Abrahams, I. David
6
2010
One-dimensional reflection by a semi-infinite periodic row of scatterers. Zbl 1467.35109
Martin, P. A.; Abrahams, I. David; Parnell, William J.
6
2015
Soft phononic crystals with deformation-independent band gaps. Zbl 1404.74137
Zhang, Pu; Parnell, William J.
6
2017
A new integral equation approach to elastodynamic homogenization. Zbl 1136.74034
Parnell, William J.; Abrahams, I. David
5
2008
Effective properties of a composite half-space: exploring the relationship between homogenization and multiple-scattering theories. Zbl 1273.74415
Parnell, W. J.; Abrahams, I. D.; Brazier-Smith, P. R.
5
2010
Transient thermal mixed boundary value problems in the half-space. Zbl 1338.30030
Parnell, William J.; Nguyen, Vu-Hieu; Assier, Raphael; Naili, Salah; Abrahams, I. David
5
2016
Hashin-Shtrikman bounds on the effective thermal conductivity of a transversely isotropic two-phase composite material. Zbl 1317.74078
Calvo-Jurado, Carmen; Parnell, William
5
2015
Multiple waves propagate in random particulate materials. Zbl 1427.74073
Gower, Artur L.; Parnell, William J.; Abrahams, I. David
5
2019
Antiplane wave scattering from a cylindrical void in a pre-stressed incompressible neo-Hookean material. Zbl 1373.74056
Parnell, William J.; Abrahams, I. David
4
2012
The influence of two-point statistics on the Hashin-Shtrikman bounds for three phase composites. Zbl 1366.74065
Calvo-Jurado, Carmen; Parnell, William J.
4
2017
A proof that multiple waves propagate in ensemble-averaged particulate materials. Zbl 1472.74106
Gower, Artur L.; Abrahams, I. David; Parnell, William J.
4
2019
Transient thermal boundary value problems in the half-space with mixed convective boundary conditions. Zbl 1426.80003
Gorbushin, Nikolai; Nguyen, Vu-Hieu; Parnell, William J.; Assier, Raphaël C.; Naili, Salah
4
2019
Simple shear of a compressible quasilinear viscoelastic material. Zbl 1423.74184
De Pascalis, Riccardo; Abrahams, I. David; Parnell, William J.
4
2015
Torsional wave propagation in a pre-stressed hyperelastic annular circular cylinder. Zbl 1291.74105
Shearer, Tom; Abrahams, I. David; Parnell, William J.; Daros, Carlos H.
3
2013
Antiplane wave scattering from a cylindrical cavity in pre-stressed nonlinear elastic media. Zbl 1371.74156
Shearer, Tom; Parnell, William J.; Abrahams, I. David
3
2015
Static elastic cloaking, low-frequency elastic wave transparency and neutral inclusions. Zbl 1472.74121
Norris, Andrew N.; Parnell, William J.
3
2020
The Newtonian potential inhomogeneity problem: non-uniform eigenstrains in cylinders of non-elliptical cross section. Zbl 1388.74043
Joyce, Duncan; Parnell, William J.
2
2017
Effective antiplane elastic properties of an orthotropic solid weakened by a periodic distribution of cracks. Zbl 1356.74175
Williams, T. D.; Parnell, William J.
2
2014
Soft metamaterials with dynamic viscoelastic functionality tuned by pre-deformation. Zbl 1425.74110
Parnell, William J.; De Pascalis, Riccardo
2
2019
Acoustic scattering from a one-dimensional array; tail-end asymptotics for efficient evaluation of the quasi-periodic Green’s function. Zbl 1524.35164
Lynott, Georgia M.; Andrew, Victoria; Abrahams, I. David; Simon, Michael J.; Parnell, William J.; Assier, Raphaël C.
2
2019
Multiple scattering of flexural waves by random configurations of inclusions in thin plates. Zbl 1283.74036
Parnell, W. J.; Martin, P. A.
2
2011
Reflection from a multi-species material and its transmitted effective wavenumber. Zbl 1402.74049
Gower, Artur L.; Smith, Michael J. A.; Parnell, William J.; Abrahams, I. David
2
2018
Static elastic cloaking, low-frequency elastic wave transparency and neutral inclusions. Zbl 1472.74121
Norris, Andrew N.; Parnell, William J.
3
2020
Multiple waves propagate in random particulate materials. Zbl 1427.74073
Gower, Artur L.; Parnell, William J.; Abrahams, I. David
5
2019
A proof that multiple waves propagate in ensemble-averaged particulate materials. Zbl 1472.74106
Gower, Artur L.; Abrahams, I. David; Parnell, William J.
4
2019
Transient thermal boundary value problems in the half-space with mixed convective boundary conditions. Zbl 1426.80003
Gorbushin, Nikolai; Nguyen, Vu-Hieu; Parnell, William J.; Assier, Raphaël C.; Naili, Salah
4
2019
Soft metamaterials with dynamic viscoelastic functionality tuned by pre-deformation. Zbl 1425.74110
Parnell, William J.; De Pascalis, Riccardo
2
2019
Acoustic scattering from a one-dimensional array; tail-end asymptotics for efficient evaluation of the quasi-periodic Green’s function. Zbl 1524.35164
Lynott, Georgia M.; Andrew, Victoria; Abrahams, I. David; Simon, Michael J.; Parnell, William J.; Assier, Raphaël C.
2
2019
The inflation of viscoelastic balloons and hollow viscera. Zbl 1407.74024
De Pascalis, Riccardo; Parnell, William J.; Abrahams, I. David; Shearer, Tom; Daly, Donna M.; Grundy, David
7
2018
A modified formulation of quasi-linear viscoelasticity for transversely isotropic materials under finite deformation. Zbl 1407.74021
Balbi, Valentina; Shearer, Tom; Parnell, William J.
6
2018
Reflection from a multi-species material and its transmitted effective wavenumber. Zbl 1402.74049
Gower, Artur L.; Smith, Michael J. A.; Parnell, William J.; Abrahams, I. David
2
2018
An integral equation method for the homogenization of unidirectional fibre-reinforced media; antiplane elasticity and other potential problems. Zbl 1404.74142
Joyce, Duncan; Parnell, William J.; Assier, Raphaël C.; Abrahams, I. David
8
2017
Soft phononic crystals with deformation-independent band gaps. Zbl 1404.74137
Zhang, Pu; Parnell, William J.
6
2017
The influence of two-point statistics on the Hashin-Shtrikman bounds for three phase composites. Zbl 1366.74065
Calvo-Jurado, Carmen; Parnell, William J.
4
2017
The Newtonian potential inhomogeneity problem: non-uniform eigenstrains in cylinders of non-elliptical cross section. Zbl 1388.74043
Joyce, Duncan; Parnell, William J.
2
2017
The Eshelby, Hill, moment and concentration tensors for ellipsoidal inhomogeneities in the Newtonian potential problem and linear elastostatics. Zbl 1353.31006
Parnell, William J.
17
2016
Antiplane elastic wave propagation in pre-stressed periodic structures; tuning, band gap switching and invariance. Zbl 1469.74074
Barnwell, Ellis G.; Parnell, William J.; David Abrahams, I.
8
2016
Transient thermal mixed boundary value problems in the half-space. Zbl 1338.30030
Parnell, William J.; Nguyen, Vu-Hieu; Assier, Raphael; Naili, Salah; Abrahams, I. David
5
2016
On the computation of the Hashin-Shtrikman bounds for transversely isotropic two-phase linear elastic fibre-reinforced composites. Zbl 1360.74024
Parnell, William J.; Calvo-Jurado, Carmen
7
2015
One-dimensional reflection by a semi-infinite periodic row of scatterers. Zbl 1467.35109
Martin, P. A.; Abrahams, I. David; Parnell, William J.
6
2015
Hashin-Shtrikman bounds on the effective thermal conductivity of a transversely isotropic two-phase composite material. Zbl 1317.74078
Calvo-Jurado, Carmen; Parnell, William
5
2015
Simple shear of a compressible quasilinear viscoelastic material. Zbl 1423.74184
De Pascalis, Riccardo; Abrahams, I. David; Parnell, William J.
4
2015
Antiplane wave scattering from a cylindrical cavity in pre-stressed nonlinear elastic media. Zbl 1371.74156
Shearer, Tom; Parnell, William J.; Abrahams, I. David
3
2015
Active elastodynamic cloaking. Zbl 1298.74126
Norris, Andrew N.; Amirkulova, Feruza A.; Parnell, William J.
6
2014
Effective antiplane elastic properties of an orthotropic solid weakened by a periodic distribution of cracks. Zbl 1356.74175
Williams, T. D.; Parnell, William J.
2
2014
Antiplane elastic wave cloaking using metamaterials, homogenization and hyperelasticity. Zbl 1454.74090
Parnell, William J.; Shearer, Tom
10
2013
Torsional wave propagation in a pre-stressed hyperelastic annular circular cylinder. Zbl 1291.74105
Shearer, Tom; Abrahams, I. David; Parnell, William J.; Daros, Carlos H.
3
2013
Nonlinear pre-stress for cloaking from antiplane elastic waves. Zbl 1364.74049
Parnell, William J.
22
2012
Hyperelastic cloaking theory: transformation elasticity with pre-stressed solids. Zbl 1371.74039
Norris, A. N.; Parnell, W. J.
18
2012
Source amplitudes for active exterior cloaking. Zbl 1259.78020
Norris, Andrew N.; Amirkulova, Feruza A.; Parnell, William J.
10
2012
Antiplane wave scattering from a cylindrical void in a pre-stressed incompressible neo-Hookean material. Zbl 1373.74056
Parnell, William J.; Abrahams, I. David
4
2012
Multiple scattering of flexural waves by random configurations of inclusions in thin plates. Zbl 1283.74036
Parnell, W. J.; Martin, P. A.
2
2011
Multiple point scattering to determine the effective wavenumber and effective material properties of an inhomogeneous slab. Zbl 1267.74068
Parnell, William J.; Abrahams, I. David
6
2010
Effective properties of a composite half-space: exploring the relationship between homogenization and multiple-scattering theories. Zbl 1273.74415
Parnell, W. J.; Abrahams, I. D.; Brazier-Smith, P. R.
5
2010
Homogenization for wave propagation in periodic fibre-reinforced media with complex microstructure. I: Theory. Zbl 1171.74409
Parnell, W. J.; Abrahams, I. D.
19
2008
A new integral equation approach to elastodynamic homogenization. Zbl 1136.74034
Parnell, William J.; Abrahams, I. David
5
2008
Effective wave propagation in a prestressed nonlinear elastic composite bar. Zbl 1118.74025
Parnell, W. J.
14
2007
Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves. Zbl 1231.74373
Parnell, W. J.; Abrahams, I. D.
30
2006
Coupled thermoelasticity in a composite half-space. Zbl 1110.74022
Parnell, William J.
9
2006
all top 5

Cited by 349 Authors

27 Parnell, William J.
12 Abrahams, I. David
7 Guenneau, Sebastien R. L.
6 Craster, Richard V.
5 Andrianov, Igor Vasil’evich
5 Assier, Raphaël C.
5 Brun, Michele
5 Onofrei, Daniel
5 Penta, Raimondo
5 Rodríguez-Ramos, Reinaldo
5 Wang, Yuesheng
4 Artioli, Edoardo
4 Danishevskiĭ, Vladislav Valentinovich
4 Movchan, Alexander B.
4 Norris, Andrew N.
4 Shearer, Tom
4 Wang, Yize
3 Barthelemy, Jean-Francois M.
3 Bravo-Castillero, Julián
3 Calvo-Jurado, Carmen
3 Giraud, Albert
3 Gower, Artur L.
3 Guinovart-Díaz, Raúl
3 Kaplunov, Julius D.
3 Ramírez-Torres, Ariel
3 Sevostianov, Igor
3 Topol, Heiko
3 Weichert, Dieter
3 Willis, John Raymond
2 Balbi, Valentina
2 Bigoni, Davide
2 Conoir, Jean-Marc
2 de Pascalis, Riccardo
2 Destrade, Michel
2 Diatta, André
2 Fu, Yibin
2 Gei, Massimiliano
2 Godin, Yuri A.
2 Golgoon, Ashkan
2 Hu, Guanghui
2 Joyce, Duncan
2 Li, Xinzhu
2 Lim, Mikyoung
2 Liu, Hongyu
2 McIver, Philip
2 Merodio, Jose
2 Milton, Graeme Walter
2 Montiel, Fabien
2 Naili, Salah
2 Neves, Mario jun.
2 Nguyen, Vu-Hieu
2 Pernas-Salomón, René
2 Platt, Eric
2 Sabina, Federico J.
2 Saccomandi, Giuseppe
2 Shmuel, Gal
2 Smith, John D.
2 Song, Yunqiu
2 Vaĭnberg, Boris Rufimovich
2 Wahab, Abdul Fatah
2 Yang, Yong
2 Yang, Zailin
2 Yavari, Arash
2 Zhang, Pu
1 Abakarov, Abdulla
1 Abbas, Tasawar
1 Abd-Alla, Abdelmooty M.
1 Abo-Dahab, Sayed M.
1 Adessina, A.
1 Akbarov, Surkay D.
1 Al-Lehaibi, Eman A. N.
1 Albanese, Richard A.
1 Albani, Matteo
1 Alexopoulos, Konstantinos
1 Allen, David H.
1 Almuthaybiri, Saleh Salhan G.
1 Amirkulova, Feruza Abdukadirovna
1 Ammari, Habib
1 Amore, Paolo
1 Ansari, Alireza
1 Antonakakis, T.
1 Atai, Ali Asghar
1 Barnwell, Ellis G.
1 Bennetts, Luke G.
1 Berezovski, Arkadi
1 Berjamin, Harold
1 Bisegna, Paolo
1 Biwa, Shiro
1 Bolshakov, Vladimir I.
1 Bordas, Stéphane Pierre Alain
1 Bouaziz, Olivier
1 Boussaa, Djaffar
1 Brito-Santana, Humberto
1 Brougham, Rachel I.
1 Brucks, P.
1 Buryachenko, Valeriy A.
1 Byrne, Helen Mary
1 Camacho, Miguel
1 Cao, Liqun
1 Capilnasiu, Adela
...and 249 more Authors
all top 5

Cited in 51 Serials

30 Wave Motion
17 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
10 Journal of Elasticity
10 European Journal of Mechanics. A. Solids
9 International Journal of Engineering Science
8 Journal of the Mechanics and Physics of Solids
7 Journal of Engineering Mathematics
7 SIAM Journal on Applied Mathematics
6 Mathematics and Mechanics of Solids
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Waves in Random and Complex Media
4 Acta Mechanica
4 Applied Mathematical Modelling
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Journal of Computational Physics
2 Computer Methods in Applied Mechanics and Engineering
2 International Journal of Solids and Structures
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Meccanica
2 Computational Mechanics
2 Continuum Mechanics and Thermodynamics
2 Computing and Visualization in Science
2 Multiscale Modeling & Simulation
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Journal of Fluid Mechanics
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Physica A
1 Physics Letters. A
1 International Journal for Numerical Methods in Engineering
1 Journal of Computational and Applied Mathematics
1 Journal of Optimization Theory and Applications
1 Quarterly of Applied Mathematics
1 Applied Numerical Mathematics
1 Journal of Integral Equations and Applications
1 European Journal of Applied Mathematics
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Archive of Applied Mechanics
1 Journal of Nonlinear Science
1 International Applied Mechanics
1 Communications in Nonlinear Science and Numerical Simulation
1 Computational Geosciences
1 The ANZIAM Journal
1 Boundary Value Problems
1 Chinese Journal of Physics (Taipei)
1 Arabian Journal of Mathematics
1 AMM. Applied Mathematics and Mechanics. (English Edition)

Citations by Year