Edit Profile (opens in new tab) Parnell, William J. Co-Author Distance Author ID: parnell.william-j Published as: Parnell, William J.; Parnell, W. J.; Parnell, William more...less External Links: MGP Documents Indexed: 44 Publications since 2006, including 3 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 29 Co-Authors with 40 Joint Publications 374 Co-Co-Authors all top 5 Co-Authors 4 single-authored 20 Abrahams, I. David 8 Shearer, Tom 5 Assier, Raphaël C. 4 Calvo-Jurado, Carmen 4 de Pascalis, Riccardo 4 Norris, Andrew N. 3 Gower, Artur L. 2 Amirkulova, Feruza Abdukadirovna 2 Balbi, Valentina 2 Joyce, Duncan 2 Martin, Paul Andrew 2 Naili, Salah 2 Nguyen, Vu-Hieu 2 Russell, Eleanor R. 1 Andrew, Victoria 1 Barnwell, Ellis G. 1 Brazier-Smith, P. R. 1 Daly, Donna M. 1 Daros, Carlos H. 1 Gorbushin, Nikolai 1 Grundy, David 1 Jordan, Pedro M. 1 Lynott, Georgia M. 1 Saccomandi, Giuseppe 1 Simon, Michael J. 1 Smith, Michael J. A. 1 Vitali, Camille 1 Yeung, Cheuk-Him 1 Zhang, Pu all top 5 Serials 9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 7 Wave Motion 4 Journal of Engineering Mathematics 3 Quarterly Journal of Mechanics and Applied Mathematics 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 SIAM Journal on Applied Mathematics 1 IMA Journal of Applied Mathematics 1 International Journal of Engineering Science 1 Inverse Problems 1 Journal of the Mechanics and Physics of Solids 1 Journal of Computational and Applied Mathematics 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 Journal of Mathematical Chemistry 1 Mathematics and Mechanics of Solids 1 Waves in Random and Complex Media 1 Communications in Computational Physics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 London Mathematical Society. Newsletter all top 5 Fields 35 Mechanics of deformable solids (74-XX) 10 Partial differential equations (35-XX) 7 Optics, electromagnetic theory (78-XX) 5 Fluid mechanics (76-XX) 2 Functions of a complex variable (30-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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) all top 5 Cited in 26 Fields 148 Mechanics of deformable solids (74-XX) 42 Partial differential equations (35-XX) 17 Optics, electromagnetic theory (78-XX) 15 Numerical analysis (65-XX) 14 Fluid mechanics (76-XX) 7 Functions of a complex variable (30-XX) 5 Biology and other natural sciences (92-XX) 4 Integral equations (45-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 3 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) Citations by Year