Publications
2022
M.A. Nethercote, A.V. Kisil, I. Thompson and R.C. Assier (2022)
Array scattering resonance in the context of Foldy's approximation
Proc. R. Soc. A 478:20220604
R.C. Assier, A.V. Shanin, A.I. Korolkov (2022)
A contribution to the mathematical theory of diffraction. Part I: A note on double Fourier integrals
Q. J. Mech. Appl. Math., hbac017
E. Garcia Neefjes, D. Nigro, A. L. Gower, R. C. Assier, V. J. Pinfield and W. J. Parnell (2022)
A unified framework for linear thermo-visco-elastic wave propagation including the effects of stress-relaxation
Proc. R. Soc. A 478:20220193
R.C. Davey, R.C. Assier and I.D. Abrahams (2022)
An efficient semi-analytical scheme for determining the reflection of Lamb waves in a semi-infinite elastic waveguide
Applied Sciences, 12(13), 6468
V.D. Kunz and R.C. Assier (2022)
Diffraction by a right-angled no-contrast penetrable wedge revisited: a double Wiener-Hopf approach
SIAM journal on Applied Mathematics 82(4), 1495-1519
Preprint on ArXiv: 2112.03173
Haughton, J., Cotter, S.L., Parnell, W.J. and Shearer, T. (2022)
Bayesian inference on a microstructural, hyperelastic model of tendon deformation
J. R. Soc. Interface. 19(190):20220031
Nethercote, M.A., Kisil, A.V. and Assier, R.C. (2022)
Diffraction of acoustic waves by a wedge of point scatterers
SIAM journal on Applied Mathematics 82(3), 872-898
Preprint on ArXiv: 2108.12632
Russell, E.R., Assier, R.C. and Parnell, W.J. (2022)
Manipulating thermal fields with inhomogeneous heat spreaders
Applied Mathematical Modelling 106:225-240
Array scattering resonance in the context of Foldy's approximation
Proc. R. Soc. A 478:20220604
R.C. Assier, A.V. Shanin, A.I. Korolkov (2022)
A contribution to the mathematical theory of diffraction. Part I: A note on double Fourier integrals
Q. J. Mech. Appl. Math., hbac017
E. Garcia Neefjes, D. Nigro, A. L. Gower, R. C. Assier, V. J. Pinfield and W. J. Parnell (2022)
A unified framework for linear thermo-visco-elastic wave propagation including the effects of stress-relaxation
Proc. R. Soc. A 478:20220193
R.C. Davey, R.C. Assier and I.D. Abrahams (2022)
An efficient semi-analytical scheme for determining the reflection of Lamb waves in a semi-infinite elastic waveguide
Applied Sciences, 12(13), 6468
V.D. Kunz and R.C. Assier (2022)
Diffraction by a right-angled no-contrast penetrable wedge revisited: a double Wiener-Hopf approach
SIAM journal on Applied Mathematics 82(4), 1495-1519
Preprint on ArXiv: 2112.03173
Haughton, J., Cotter, S.L., Parnell, W.J. and Shearer, T. (2022)
Bayesian inference on a microstructural, hyperelastic model of tendon deformation
J. R. Soc. Interface. 19(190):20220031
Nethercote, M.A., Kisil, A.V. and Assier, R.C. (2022)
Diffraction of acoustic waves by a wedge of point scatterers
SIAM journal on Applied Mathematics 82(3), 872-898
Preprint on ArXiv: 2108.12632
Russell, E.R., Assier, R.C. and Parnell, W.J. (2022)
Manipulating thermal fields with inhomogeneous heat spreaders
Applied Mathematical Modelling 106:225-240
2021
Revell, C.K., Jensen, O.E., Shearer, T., Lu, Y., Holmes, D.F., and K.E. Kadler (2021)
Collagen fibril assembly: New approaches to unanswered questions
Matrix Biology Plus 12:100079
Gregory, J., Hazel, A.L., and Shearer, T. (2021)
A microstructural model of tendon failure
Journal of the mechanical behavior of biomedical materials 122:104665
Yousaf, Z. , Morrison, N.F. and Parnell, W.J. (2021 submitted)
Tensile properties of all-polymeric syntactic foam composites: experimental characterization and mathematical modelling
Composites Part B
Curd, M.E., Morrison, N.F., Smith, M.J.A., Gajjar, P., Yousaf, Z. and Parnell, W.J. (2021)
Geometrical and mechanical characterisation of hollow thermoplastic microspheres for syntactic foam applications
Composites Part B: Engineering 223 108952
Kisil, A.V., Abrahams, I. D., Mishuris, G. and Rogosin, S.V. (2021)
The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods
Proc. R. Soc. A 477(2254):20210533, DOI: 10.1098/rspa.2021.0533
Assier, R.C. and Shanin, A.V. (2021)
Vertex Green’s functions of a quarter-plane. Links between the functional equation, additive crossing and Lamé functions.
Q.J. Mech. Appl. Math., 74(3):251-295
Bellis, C., Lombard, B., Touboul, M. and Assier, R.C. (2021)
Effective dynamics for low-amplitude transient elastic waves in a 1D periodic array of non-linear interfaces
Journal of the Mechanics and Physics of Solids 149:104321
Assier, R.C. and Abrahams, I.D. (2021) (open access)
A surprising observation in the quarter-plane diffraction problem
SIAM J. Appl. Math. 81(1), 60-90
Assier, R.C. and Shanin, A.V. (2021) (open access)
Analytical continuation of two-dimensional wave fields
Proc. Roy. Soc. A, 477:2020081
Collagen fibril assembly: New approaches to unanswered questions
Matrix Biology Plus 12:100079
Gregory, J., Hazel, A.L., and Shearer, T. (2021)
A microstructural model of tendon failure
Journal of the mechanical behavior of biomedical materials 122:104665
Yousaf, Z. , Morrison, N.F. and Parnell, W.J. (2021 submitted)
Tensile properties of all-polymeric syntactic foam composites: experimental characterization and mathematical modelling
Composites Part B
Curd, M.E., Morrison, N.F., Smith, M.J.A., Gajjar, P., Yousaf, Z. and Parnell, W.J. (2021)
Geometrical and mechanical characterisation of hollow thermoplastic microspheres for syntactic foam applications
Composites Part B: Engineering 223 108952
Kisil, A.V., Abrahams, I. D., Mishuris, G. and Rogosin, S.V. (2021)
The Wiener–Hopf technique, its generalizations and applications: constructive and approximate methods
Proc. R. Soc. A 477(2254):20210533, DOI: 10.1098/rspa.2021.0533
Assier, R.C. and Shanin, A.V. (2021)
Vertex Green’s functions of a quarter-plane. Links between the functional equation, additive crossing and Lamé functions.
Q.J. Mech. Appl. Math., 74(3):251-295
Bellis, C., Lombard, B., Touboul, M. and Assier, R.C. (2021)
Effective dynamics for low-amplitude transient elastic waves in a 1D periodic array of non-linear interfaces
Journal of the Mechanics and Physics of Solids 149:104321
Assier, R.C. and Abrahams, I.D. (2021) (open access)
A surprising observation in the quarter-plane diffraction problem
SIAM J. Appl. Math. 81(1), 60-90
Assier, R.C. and Shanin, A.V. (2021) (open access)
Analytical continuation of two-dimensional wave fields
Proc. Roy. Soc. A, 477:2020081
2020
Shearer, T., Parnell, W.J., Lynch, B., Screen, H. R. C. and Abrahams, I. D. (2020)
A recruitment model of tendon viscoelasticity that incorporates fibril creep and explains strain-dependent relaxation
Journal of Biomechanical Engineering 142.7 (2020): 071003
Assier R.C., Abrahams, I.D. (2020)
On the asymptotic properties of an interesting diffraction integral
Proc. Roy. Soc. A, 476:20200150
Assier, R.C. , Touboul, M. , Lombard, B. , Bellis, C. (2020)
High-frequency homogenisation in periodic media with imperfect interfaces
Proc. Roy. Soc. A, 476:20200402
Colbrook, M., Kisil, A. (2020)
"A Mathieu function boundary spectral method for scattering by multiple variable poro-elastic plates, with applications to metamaterials and acoustics"
Proc. R. Soc. A 476(2241):20200184.
Abrahams, I.D., Huang, X. , Kisil, A.V., Mishuris, G. , Nieves, M. , Rogosin, S. , Spitkovsky, I. (2020)
"Reinvigorating the Wiener-Hopf technique by developing greater insight into the modelling of processes and materials"
National Science Review
Nethercote, M., Assier R.C., Abrahams, I.D. (2020) (open access)
"High-contrast approximation for penetrable wedge diffraction"
IMA J. Appl. Math. 85(3):421-466 (Video)
Chang, J., Garva, R., Pickard, A., Yeung, C.-Y.C., Mallikarjun, V., Swift, J., Holmes, D.F., Calverley, B., Lu, Y., Adamson, A., Raymond-Hayling, H., Jensen, O., Shearer, T., Meng, Q.J. and Kadler, K.E. (2020)
"Circadian control of the secretory pathway maintains collagen homeostasis".
Nature Cell Biology, 22, 74-86.
Nethercote, M., Assier, R.C., Abrahams, I.D. (2020)
"Analytical methods for perfect wedge diffraction: a review"
Wave Motion, 93(102479).
A recruitment model of tendon viscoelasticity that incorporates fibril creep and explains strain-dependent relaxation
Journal of Biomechanical Engineering 142.7 (2020): 071003
Assier R.C., Abrahams, I.D. (2020)
On the asymptotic properties of an interesting diffraction integral
Proc. Roy. Soc. A, 476:20200150
Assier, R.C. , Touboul, M. , Lombard, B. , Bellis, C. (2020)
High-frequency homogenisation in periodic media with imperfect interfaces
Proc. Roy. Soc. A, 476:20200402
Colbrook, M., Kisil, A. (2020)
"A Mathieu function boundary spectral method for scattering by multiple variable poro-elastic plates, with applications to metamaterials and acoustics"
Proc. R. Soc. A 476(2241):20200184.
Abrahams, I.D., Huang, X. , Kisil, A.V., Mishuris, G. , Nieves, M. , Rogosin, S. , Spitkovsky, I. (2020)
"Reinvigorating the Wiener-Hopf technique by developing greater insight into the modelling of processes and materials"
National Science Review
Nethercote, M., Assier R.C., Abrahams, I.D. (2020) (open access)
"High-contrast approximation for penetrable wedge diffraction"
IMA J. Appl. Math. 85(3):421-466 (Video)
Chang, J., Garva, R., Pickard, A., Yeung, C.-Y.C., Mallikarjun, V., Swift, J., Holmes, D.F., Calverley, B., Lu, Y., Adamson, A., Raymond-Hayling, H., Jensen, O., Shearer, T., Meng, Q.J. and Kadler, K.E. (2020)
"Circadian control of the secretory pathway maintains collagen homeostasis".
Nature Cell Biology, 22, 74-86.
Nethercote, M., Assier, R.C., Abrahams, I.D. (2020)
"Analytical methods for perfect wedge diffraction: a review"
Wave Motion, 93(102479).
2019
Priddin, M. J. , Kisil, A. V., Ayton, L. J. (2019)
"Applying an iterative method numerically to solve n by n matrix Wiener–Hopf equations with exponential factors"
Phil. Trans. R. Soc. A.37820190241
Gower, A.L., Abrahams, I.D., Parnell, W.J. (2019) (open access)
"A proof that multiple waves can propagate in ensemble-averaged particular materials"
Proc. Roy. Soc. A. In press.
Gower, A.L., Parnell, W.J., Abrahams, I.D. (2019) (open access)
"Multiple waves can propagate in random particular materials"
SIAM J. Appl. Mathematics. In press.
Parnell, W.J., De Pascalis, R. (2019) (open access)
"Soft metamaterials with dynamic viscoelastic functionality tuned by pre-deformation"
Phil. Trans. A, 377, 2144.
Lynott, G., Andrew, V., Abrahams, I.D., Simon, M.J., Parnell, W.J., Assier, R.C. (2019) (open access)
"Acoustic scattering from a one-dimensional array;
tail-end asymptotics for efficient evaluation of the quasi-periodic Green's function"
Wave Motion, 89:232-244
Gorbushin, N., Nguyen,V-H., Parnell, W.J. , Assier, R.C. ,Naili, S. (2019)
"Transient thermal boundary value problems in the half-space with mixed convective boundary conditions"
J. Eng. Math. 114 (1): 141-158
Assier, R.C., Shanin, A.V. (2019) (open access)
"Diffraction by a quarter-plane. Analytical continuation of spectral functions"
Q. Jl. Mech. Appl. Math. 72 (1):51-86 (Video)
Rus, G., Melchor, J., Bochud, N., Peralta, L., Parnell, W.J. (2019) (open access)
"Damage prediction via nonlinear ultrasound: a micromechanical approach"
Ultrasonics 93, 145-155.
"Applying an iterative method numerically to solve n by n matrix Wiener–Hopf equations with exponential factors"
Phil. Trans. R. Soc. A.37820190241
Gower, A.L., Abrahams, I.D., Parnell, W.J. (2019) (open access)
"A proof that multiple waves can propagate in ensemble-averaged particular materials"
Proc. Roy. Soc. A. In press.
Gower, A.L., Parnell, W.J., Abrahams, I.D. (2019) (open access)
"Multiple waves can propagate in random particular materials"
SIAM J. Appl. Mathematics. In press.
Parnell, W.J., De Pascalis, R. (2019) (open access)
"Soft metamaterials with dynamic viscoelastic functionality tuned by pre-deformation"
Phil. Trans. A, 377, 2144.
Lynott, G., Andrew, V., Abrahams, I.D., Simon, M.J., Parnell, W.J., Assier, R.C. (2019) (open access)
"Acoustic scattering from a one-dimensional array;
tail-end asymptotics for efficient evaluation of the quasi-periodic Green's function"
Wave Motion, 89:232-244
Gorbushin, N., Nguyen,V-H., Parnell, W.J. , Assier, R.C. ,Naili, S. (2019)
"Transient thermal boundary value problems in the half-space with mixed convective boundary conditions"
J. Eng. Math. 114 (1): 141-158
Assier, R.C., Shanin, A.V. (2019) (open access)
"Diffraction by a quarter-plane. Analytical continuation of spectral functions"
Q. Jl. Mech. Appl. Math. 72 (1):51-86 (Video)
Rus, G., Melchor, J., Bochud, N., Peralta, L., Parnell, W.J. (2019) (open access)
"Damage prediction via nonlinear ultrasound: a micromechanical approach"
Ultrasonics 93, 145-155.
2018
Cotterill, P.A., Nigro, D., Abrahams, I.D., Garcia-Neefjes, E., Parnell, W.J. (2018) (open access)
"Thermo-viscous damping of acoustic waves in narrow channels: a comparison of effects in air and water."
J. Acoust. Soc. America 144, 3421.
Pearce, S.P., Heil, M., Jensen, O.E., Jones, G.W., Prokop,A. (2018) (open access)
"Curvature-sensitive kinesin binding can explain microtubule ring formation and reveals chaotic dynamics in a mathematical model"
Bulletin of Mathematical Biology, 80(11):3002–3022.
Gower, A.L., Gower, R.M., Deakin, J., Parnell, W.J., Abrahams, I.D. (2018) (open access)
"Characterising random media with near-surface backscattering: a machine learning approach for the measurement of particle size and concentration"
EuroPhysics letters 122 (5), 54001 (available now on Arxiv)
Rowley, W.D., Parnell, W.J., Abrahams, I.D., Voisey, S.R., Lamb, J., Etaix, N. (2018) (open access)
"Deepening subwavelength acoustic resonance via metamaterials with universal broadband elliptical microstructure"
Applied Physics Letters 112, 251902 (available now on Arxiv)
Rawson, S.D., Shearer, T., Lowe, T., O'Brien, M., Wong, J.F.K., Margetts, L., Cartmell, SH. (2018)
"Four dimensional imaging of soft tissue and implanted biomaterial mechanics: A barbed suture case study for tendon repair"
Appl. Mat. Interfaces 10, 38681-38691
De Pascalis, R. Parnell, W.J., Abrahams, I.D., Shearer, T., Daly, D.M., Grundy, D. (2018) (open access)
"The inflation of visocelastic balloons and hollow viscera"
Proc. R. Soc. A 474, 20180102
Balbi, V., Shearer, T., Parnell, W.J. (2018) (open access)
"A modified formulation of quasi-linear viscoelasticity for transversely isotropic materials under finite deformation."
Proc. R. Soc. A 474, 20180231
Zhang, P., Parnell, W.J. (2018) (open access)
"Hyperelastic antiplane ground cloaking."
J Acoust. Soc. America 143 (5) (available now on Arxiv)
Gower, A., Smith, M.J.A., Parnell, W.J., Abrahams, I.D. (2018) (open access)
"Reflection from a multi-species material and its transmitted effective wavenumber."
Proc. Roy. Soc. A. 474, 20170864. (available now on Arxiv)
Craddock, R.J., Hodson, N.W., Ozols, M., Shearer, T., Hoyland, J.A. and Sherratt, M.J. (2018) (open access)
"Extracellular matrix fragmentation in young, healthy cartilaginous tissues."
European Cells and Materials 35, 34-53
Calvo-Jurado, C., Parnell, W.J. (2018)
"Induced fields in isolated elliptical inhomogeneities due to imposed polynomial fields at infinity"
Int. J. Computer Math.
Torrent, D., Parnell, W.J., Norris, A.N. (2018) (open access)
"Loss compensation in time-dependent elastic metamaterials"
Phys Rev B 97, 014105
"Thermo-viscous damping of acoustic waves in narrow channels: a comparison of effects in air and water."
J. Acoust. Soc. America 144, 3421.
Pearce, S.P., Heil, M., Jensen, O.E., Jones, G.W., Prokop,A. (2018) (open access)
"Curvature-sensitive kinesin binding can explain microtubule ring formation and reveals chaotic dynamics in a mathematical model"
Bulletin of Mathematical Biology, 80(11):3002–3022.
Gower, A.L., Gower, R.M., Deakin, J., Parnell, W.J., Abrahams, I.D. (2018) (open access)
"Characterising random media with near-surface backscattering: a machine learning approach for the measurement of particle size and concentration"
EuroPhysics letters 122 (5), 54001 (available now on Arxiv)
Rowley, W.D., Parnell, W.J., Abrahams, I.D., Voisey, S.R., Lamb, J., Etaix, N. (2018) (open access)
"Deepening subwavelength acoustic resonance via metamaterials with universal broadband elliptical microstructure"
Applied Physics Letters 112, 251902 (available now on Arxiv)
Rawson, S.D., Shearer, T., Lowe, T., O'Brien, M., Wong, J.F.K., Margetts, L., Cartmell, SH. (2018)
"Four dimensional imaging of soft tissue and implanted biomaterial mechanics: A barbed suture case study for tendon repair"
Appl. Mat. Interfaces 10, 38681-38691
De Pascalis, R. Parnell, W.J., Abrahams, I.D., Shearer, T., Daly, D.M., Grundy, D. (2018) (open access)
"The inflation of visocelastic balloons and hollow viscera"
Proc. R. Soc. A 474, 20180102
Balbi, V., Shearer, T., Parnell, W.J. (2018) (open access)
"A modified formulation of quasi-linear viscoelasticity for transversely isotropic materials under finite deformation."
Proc. R. Soc. A 474, 20180231
Zhang, P., Parnell, W.J. (2018) (open access)
"Hyperelastic antiplane ground cloaking."
J Acoust. Soc. America 143 (5) (available now on Arxiv)
Gower, A., Smith, M.J.A., Parnell, W.J., Abrahams, I.D. (2018) (open access)
"Reflection from a multi-species material and its transmitted effective wavenumber."
Proc. Roy. Soc. A. 474, 20170864. (available now on Arxiv)
Craddock, R.J., Hodson, N.W., Ozols, M., Shearer, T., Hoyland, J.A. and Sherratt, M.J. (2018) (open access)
"Extracellular matrix fragmentation in young, healthy cartilaginous tissues."
European Cells and Materials 35, 34-53
Calvo-Jurado, C., Parnell, W.J. (2018)
"Induced fields in isolated elliptical inhomogeneities due to imposed polynomial fields at infinity"
Int. J. Computer Math.
Torrent, D., Parnell, W.J., Norris, A.N. (2018) (open access)
"Loss compensation in time-dependent elastic metamaterials"
Phys Rev B 97, 014105
2017
Jones,G.W., Bahamon, D.A., Castro Neto, A.H., Pereira, V.M. (2017).
"Quantized transport, strain-induced perfectly conducting modes and valley filtering on shape-optimized graphene Corbino devices." Nano Letters, 17(9):5304–5313.
Gower, A.L., Shearer, T. and Ciarletta, P. (2017) (open access)
"A new restriction for initially stressed elastic solids"
Quarterly Journal of Mechanics and Applied Mathematics 70(4), 455-478.
Shearer, T., Thorpe, C.T., Screen, H.R.C. (2017) (open access)
"The relative compliance of energy-storing tendons may be due to the helical fibril arrangement of their fascicles"
Journal of The Royal Society Interface 14(133), 20170261.
Paoletti, P., Jones, G. W., Mahadevan, L. (2017)
"Grasping with a soft glove: intrinsic impedance control in pneumatic actuators"
Journal of The Royal Society Interface, 14(128), 20160867.
Joyce, D., Parnell, W.J. (2017) (open access)
"The Newtonian potential inhomogeneity problem: non-uniform eigenstrains in cylinders of non-uniform cross section"
J. Eng. Mathematics (50 years special issue)
Zhang, P., Parnell, W.J. (2017)
"Band gap formation and tunability in stretchable serpentine interconnects."
ASME J. Applied Mechanics. In press. (available now on Arxiv)
Joyce, D., Parnell, W.J., Assier, R.C., Abrahams, I.D. (2017) (open access)
"An integral equation method for the homogenization of unidirectional fibre-reinforced media; antiplane elasticity and other potential problems"
Proc. Roy. Soc. A 473:20170080
Zhang, P., Parnell, W.J. (2017) (open access)
"Soft phononic crystals with deformation-independent band gaps"
Proc. R. Soc. A: 473, 20160865
Carfagna, M., Destrade, M., Gower, A.L., Grillo, A. (2017)
"Oblique wrinkles"
Phil. Trans. R. Soc. A 375, no. 2093: 20160158.
Geer, S., Berger, J.R., Parnell, W.J., Mustoe, G.G.W. (2017)
"A Comparison of Discrete Element and Micromechanical Methods for Determining the Effective Elastic Properties of Geomaterials"
Computers and Geotechnics 87, 1-9
Calvo-Jurado, C., Parnell, W.J. (2017) (open access)
" The influence of two-point statistics on the Hashin-Shtrikman bounds for three-phase composites"
J. Comp. Applied Math. 318, 354-365.
Barnwell, E.G., Parnell, W.J., Abrahams, I.D. (2017) (open access)
"Tunable elastodynamic band gaps"
Extreme Mechanics Letters 12, 23-29.
Song, Y., Gitman, I., Parnell, W.J., Askes, H. (2017) (open access)
"The influence of random microstructure on wave propagation through random media"
Int J Fracture 204(1), 115-120.
"Quantized transport, strain-induced perfectly conducting modes and valley filtering on shape-optimized graphene Corbino devices." Nano Letters, 17(9):5304–5313.
Gower, A.L., Shearer, T. and Ciarletta, P. (2017) (open access)
"A new restriction for initially stressed elastic solids"
Quarterly Journal of Mechanics and Applied Mathematics 70(4), 455-478.
Shearer, T., Thorpe, C.T., Screen, H.R.C. (2017) (open access)
"The relative compliance of energy-storing tendons may be due to the helical fibril arrangement of their fascicles"
Journal of The Royal Society Interface 14(133), 20170261.
Paoletti, P., Jones, G. W., Mahadevan, L. (2017)
"Grasping with a soft glove: intrinsic impedance control in pneumatic actuators"
Journal of The Royal Society Interface, 14(128), 20160867.
Joyce, D., Parnell, W.J. (2017) (open access)
"The Newtonian potential inhomogeneity problem: non-uniform eigenstrains in cylinders of non-uniform cross section"
J. Eng. Mathematics (50 years special issue)
Zhang, P., Parnell, W.J. (2017)
"Band gap formation and tunability in stretchable serpentine interconnects."
ASME J. Applied Mechanics. In press. (available now on Arxiv)
Joyce, D., Parnell, W.J., Assier, R.C., Abrahams, I.D. (2017) (open access)
"An integral equation method for the homogenization of unidirectional fibre-reinforced media; antiplane elasticity and other potential problems"
Proc. Roy. Soc. A 473:20170080
Zhang, P., Parnell, W.J. (2017) (open access)
"Soft phononic crystals with deformation-independent band gaps"
Proc. R. Soc. A: 473, 20160865
Carfagna, M., Destrade, M., Gower, A.L., Grillo, A. (2017)
"Oblique wrinkles"
Phil. Trans. R. Soc. A 375, no. 2093: 20160158.
Geer, S., Berger, J.R., Parnell, W.J., Mustoe, G.G.W. (2017)
"A Comparison of Discrete Element and Micromechanical Methods for Determining the Effective Elastic Properties of Geomaterials"
Computers and Geotechnics 87, 1-9
Calvo-Jurado, C., Parnell, W.J. (2017) (open access)
" The influence of two-point statistics on the Hashin-Shtrikman bounds for three-phase composites"
J. Comp. Applied Math. 318, 354-365.
Barnwell, E.G., Parnell, W.J., Abrahams, I.D. (2017) (open access)
"Tunable elastodynamic band gaps"
Extreme Mechanics Letters 12, 23-29.
Song, Y., Gitman, I., Parnell, W.J., Askes, H. (2017) (open access)
"The influence of random microstructure on wave propagation through random media"
Int J Fracture 204(1), 115-120.
2016
Ciarletta, P., Destrade,M., Gower, A.L., Taffetani, M. (2016)
"Morphology of residually stressed tubular tissues: Beyond the elastic multiplicative decomposition"
Journal of the Mechanics and Physics of Solids 90: 242-253.
Ciarletta, P., Destrade, M., Gower, A.L. (2016) (open access)
"On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter"
Scientific reports 6.
Assier, R.C., Poon, C., Peake, N. (2016) (open access)
"Spectral study of the Laplace-Beltrami operator arising in the problem of acoustic wave scattering by a quarter-plane"
Q. J. Mech. Appl. Math. 69 (3):281-317
Shearer, T., Bradley, R.S., Hidalgo-Bastida, A., Sherratt, M.J., Cartmell, S.H. (2016) (open access)
"Three-dimensional visualisation of soft biological structures by X-ray computed micro-tomography"
J. Cell Sci. 129, 2483-2492.
Parnell, W.J., Nguyen, V.-H., Assier, R., Naili, S., Abrahams, I.D. (2016) (open access)
"Transient thermal mixed boundary value problems in the half-space"
SIAM J. Appl. Mathematics 76, 845-866.
Balint, R., Lowe, T., Shearer, T. (2016) (open access)
"Optimal contrast agent staining of ligaments and tendons for X-Ray computed tomography"
PLoS ONE 11, e0153552
Parnell, W.J. (2016) (open access)
"The Eshelby, Hill, moment and concentration tensors for ellipsoidal inhomogeneities in the Newtonian potential problem and linear elastostatics"
J. Elast. 125(2), 231-294.
Barnwell, E.G., Parnell, W.J., Abrahams, I.D. (2016) (open access)
"Antiplane elastic wave propagation in pre-stressed periodic structures; tuning, band-gap switching and invariance"
Wave Motion 63, 98-110.
Evatt, G.W., Coughlan, M.J., Joy, K.H., Smedley, A.R.D., Connolly, P.J., Abrahams, I.D. (2016) (open access)
"A potential hidden layer of meteorites below the ice surface of Antarctica"
Nature Comms. 7, 10679
"Morphology of residually stressed tubular tissues: Beyond the elastic multiplicative decomposition"
Journal of the Mechanics and Physics of Solids 90: 242-253.
Ciarletta, P., Destrade, M., Gower, A.L. (2016) (open access)
"On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter"
Scientific reports 6.
Assier, R.C., Poon, C., Peake, N. (2016) (open access)
"Spectral study of the Laplace-Beltrami operator arising in the problem of acoustic wave scattering by a quarter-plane"
Q. J. Mech. Appl. Math. 69 (3):281-317
Shearer, T., Bradley, R.S., Hidalgo-Bastida, A., Sherratt, M.J., Cartmell, S.H. (2016) (open access)
"Three-dimensional visualisation of soft biological structures by X-ray computed micro-tomography"
J. Cell Sci. 129, 2483-2492.
Parnell, W.J., Nguyen, V.-H., Assier, R., Naili, S., Abrahams, I.D. (2016) (open access)
"Transient thermal mixed boundary value problems in the half-space"
SIAM J. Appl. Mathematics 76, 845-866.
Balint, R., Lowe, T., Shearer, T. (2016) (open access)
"Optimal contrast agent staining of ligaments and tendons for X-Ray computed tomography"
PLoS ONE 11, e0153552
Parnell, W.J. (2016) (open access)
"The Eshelby, Hill, moment and concentration tensors for ellipsoidal inhomogeneities in the Newtonian potential problem and linear elastostatics"
J. Elast. 125(2), 231-294.
Barnwell, E.G., Parnell, W.J., Abrahams, I.D. (2016) (open access)
"Antiplane elastic wave propagation in pre-stressed periodic structures; tuning, band-gap switching and invariance"
Wave Motion 63, 98-110.
Evatt, G.W., Coughlan, M.J., Joy, K.H., Smedley, A.R.D., Connolly, P.J., Abrahams, I.D. (2016) (open access)
"A potential hidden layer of meteorites below the ice surface of Antarctica"
Nature Comms. 7, 10679
2015
Berger, J.R., Geer, S.R., Parnell, W.J. (2015)
"Homogenization approaches for the elastic properties of porous materials"
Pore scale phenomena. Frontiers in energy and environment. Poate, J.M., Kazemi, H., Illinagasekare and Kee, R.J. World Scientific
Jones, G.W., Mahadevan, L. (2015)
"Optimal control of plate shape with incompatible strain fields"
Nonlinearity 28, 9.
Shearer, T., Parnell, W.J., Abrahams, I.D. (2015) (open access)
"Antiplane wave scattering from a cylindrical cavity in pre-stressed nonlinear elastic media"
Proc. Roy. Soc. A. 471, 20150450.
Shearer, T. (2015) (open access)
"A new strain energy function for modelling ligaments and tendons whose fascicles have a helical arrangement of fibrils"
J. Biomech. 48, 3017-3025
Martin, P.A., Abrahams, I.D., Parnell, W.J. (2015) (open access)
"One dimensional reflection by a semi-infinite periodic row of scatterers"
Wave Motion 58, 1-12.
Futhazar, G., Parnell, W.J., Norris, A.N. (2015) (open access)
"Active cloaking for flexural waves in thin plates"
J. Sound Vibration 356, 1-19..
Cotterill, P.A., Parnell, W.J., Abrahams, I.D., Miller, R., Thorpe, M. (2015)
"The time-harmonic antiplane elastic response of a constrained layer"
J. Sound Vibration 348,167-184.
Parnell, W.J., Calvo-Jurado, C. (2015) (open access)
"On the computation of the Hashin-Shtrikman bounds for transversely isotropic two-phase linear elastic fibre reinforced composites"
J. Eng. Mathematics 95, 295-323
Shearer, T. (2015) (open access)
"A new strain energy function for the hyperelastic modelling of ligaments and tendons based on fascicle microstructure"
J. Biomech. 48, 290-297
Granke, M., Grimal, Q., Parnell, W.J., Raum, K., Gerisch, A., Peyrin, F., Saied, A., Laugier, P. (2015)
"To what extent can cortical bone millimeter-scale elasticity be predicted by a two phase composite model with variable porosity?"
Acta biomaterialia 12, 207-215
De Pascalis, R., Abrahams, I.D., Parnell, W.J. (2015) (open access)
"Simple shear of a compressible viscoelastic material"
Int. J. Eng. Science 88, 64-72.
"Homogenization approaches for the elastic properties of porous materials"
Pore scale phenomena. Frontiers in energy and environment. Poate, J.M., Kazemi, H., Illinagasekare and Kee, R.J. World Scientific
Jones, G.W., Mahadevan, L. (2015)
"Optimal control of plate shape with incompatible strain fields"
Nonlinearity 28, 9.
Shearer, T., Parnell, W.J., Abrahams, I.D. (2015) (open access)
"Antiplane wave scattering from a cylindrical cavity in pre-stressed nonlinear elastic media"
Proc. Roy. Soc. A. 471, 20150450.
Shearer, T. (2015) (open access)
"A new strain energy function for modelling ligaments and tendons whose fascicles have a helical arrangement of fibrils"
J. Biomech. 48, 3017-3025
Martin, P.A., Abrahams, I.D., Parnell, W.J. (2015) (open access)
"One dimensional reflection by a semi-infinite periodic row of scatterers"
Wave Motion 58, 1-12.
Futhazar, G., Parnell, W.J., Norris, A.N. (2015) (open access)
"Active cloaking for flexural waves in thin plates"
J. Sound Vibration 356, 1-19..
Cotterill, P.A., Parnell, W.J., Abrahams, I.D., Miller, R., Thorpe, M. (2015)
"The time-harmonic antiplane elastic response of a constrained layer"
J. Sound Vibration 348,167-184.
Parnell, W.J., Calvo-Jurado, C. (2015) (open access)
"On the computation of the Hashin-Shtrikman bounds for transversely isotropic two-phase linear elastic fibre reinforced composites"
J. Eng. Mathematics 95, 295-323
Shearer, T. (2015) (open access)
"A new strain energy function for the hyperelastic modelling of ligaments and tendons based on fascicle microstructure"
J. Biomech. 48, 290-297
Granke, M., Grimal, Q., Parnell, W.J., Raum, K., Gerisch, A., Peyrin, F., Saied, A., Laugier, P. (2015)
"To what extent can cortical bone millimeter-scale elasticity be predicted by a two phase composite model with variable porosity?"
Acta biomaterialia 12, 207-215
De Pascalis, R., Abrahams, I.D., Parnell, W.J. (2015) (open access)
"Simple shear of a compressible viscoelastic material"
Int. J. Eng. Science 88, 64-72.
2014
Calvo-Jurado, C., Parnell, W.J. (2014)
"Hashin-Shtrikman bounds on the effective thermal conductivity of a transversely isotropic two-phase composite material"
J. Math. Chemistry. 1-16
Jones, G.W., Pereira, V.M. (2014) (open access)
"Designing electronic properties of two-dimensional crystals through optimization of deformations"
New Journal of Physics 16 (9), 093044
Assier, R.C., Wu, X. (2014) (open access)
"Linear and weakly nonlinear instability of a curved premixed flame under the influence of its spontaneous acoustic field"
J. Fluid Mech. 758, 180-220
Shearer, T., Rawson, S., Castro, S.J., Balint, R., Bradley, R.S., Lowe, T., Vila-Comamala, J., Lee, P.D., Cartmell, S.H. (2014) (open access)
"X-ray computed tomography of the anterior cruciate ligament and patellar tendon"
Muscles Ligaments Tendons J. 4, 238-244
Gilchrist, M., Murphy, J.G., Parnell, W.J., Pierrat, B. (2014)
"Modelling the slight compressibility of anisotropic soft tissue"
Int. J. Solids Structures. 51, 3857-3865
Norris, A.N., Amirkulova, F.A., Parnell, W.J. (2014)
"Active elastodynamic cloaking"
Math. Mech. Solids 19, 603-625
De Pascalis, R., Abrahams, I.D., Parnell, W.J. (2014) (open access)
"On nonlinear viscoelastic deformations - a reappraisal of Fung's quasilinear viscoelastic model"
Proc. Roy. Soc. A 470 (2166)
Williams, T.D., Parnell, W.J. (2014) (open access)
"Effective antiplane elastic properties of an orthotropic solid weakened by a periodic distribution of cracks"
Quart. J. Mech. Appl. Math. 67, 311-342
Parnell, W.J., Norris, A.N., Shearer, T. (2014)
"Elastodynamic cloaking: transformation elasticity with pre-stressed hyperelastic solids"
Proceedings of Meetings on Acoustics 17 (1), 070093
"Hashin-Shtrikman bounds on the effective thermal conductivity of a transversely isotropic two-phase composite material"
J. Math. Chemistry. 1-16
Jones, G.W., Pereira, V.M. (2014) (open access)
"Designing electronic properties of two-dimensional crystals through optimization of deformations"
New Journal of Physics 16 (9), 093044
Assier, R.C., Wu, X. (2014) (open access)
"Linear and weakly nonlinear instability of a curved premixed flame under the influence of its spontaneous acoustic field"
J. Fluid Mech. 758, 180-220
Shearer, T., Rawson, S., Castro, S.J., Balint, R., Bradley, R.S., Lowe, T., Vila-Comamala, J., Lee, P.D., Cartmell, S.H. (2014) (open access)
"X-ray computed tomography of the anterior cruciate ligament and patellar tendon"
Muscles Ligaments Tendons J. 4, 238-244
Gilchrist, M., Murphy, J.G., Parnell, W.J., Pierrat, B. (2014)
"Modelling the slight compressibility of anisotropic soft tissue"
Int. J. Solids Structures. 51, 3857-3865
Norris, A.N., Amirkulova, F.A., Parnell, W.J. (2014)
"Active elastodynamic cloaking"
Math. Mech. Solids 19, 603-625
De Pascalis, R., Abrahams, I.D., Parnell, W.J. (2014) (open access)
"On nonlinear viscoelastic deformations - a reappraisal of Fung's quasilinear viscoelastic model"
Proc. Roy. Soc. A 470 (2166)
Williams, T.D., Parnell, W.J. (2014) (open access)
"Effective antiplane elastic properties of an orthotropic solid weakened by a periodic distribution of cracks"
Quart. J. Mech. Appl. Math. 67, 311-342
Parnell, W.J., Norris, A.N., Shearer, T. (2014)
"Elastodynamic cloaking: transformation elasticity with pre-stressed hyperelastic solids"
Proceedings of Meetings on Acoustics 17 (1), 070093
2013
Shearer, T., Parnell, W.J., Abrahams, I.D., Daros, C.H. (2013)
"Torsional wave propagation in a pre-stressed hyperelastic annular circular cylinder"
Quart. J. Mech. Appl. Math. 66, 465-487
Parnell, W.J., Shearer, T. (2013)
"Antiplane elastic wave cloaking using metamaterials, homogenization and nonlinear hyperelasticity"
Wave Motion 50, 1140-1152
De Pascalis, R., Parnell, W.J., Abrahams, I.D. (2013)
"Predicting the nonlinear pressure-volume curve of an elastic microsphere composite"
J. Mech. Physics Solids 61, 1106-1123
"Torsional wave propagation in a pre-stressed hyperelastic annular circular cylinder"
Quart. J. Mech. Appl. Math. 66, 465-487
Parnell, W.J., Shearer, T. (2013)
"Antiplane elastic wave cloaking using metamaterials, homogenization and nonlinear hyperelasticity"
Wave Motion 50, 1140-1152
De Pascalis, R., Parnell, W.J., Abrahams, I.D. (2013)
"Predicting the nonlinear pressure-volume curve of an elastic microsphere composite"
J. Mech. Physics Solids 61, 1106-1123
2012
Norris, A.N., Amirkulova, F.A., Parnell, W.J. (2012)
"Source amplitudes for active exterior cloaking"
Inverse problems 28, 105002
Heil, M., Kharrat, T., Cotterill, P.A., Abrahams, I.D. (2012)
"Quasi-resonances in sound-insulating coatings"
J. Sound Vibration 331, 4774-4784
Norris, A.N., Parnell, W.J. (2012)
"Hyperelastic cloaking theory: Transformation elasticity with prestressed solids"
Proc. Roy. Soc. A 468, 2881-2903
Willoughby, N., Parnell, W.J., Hazel, A., Abrahams, I.D. (2012)
"Homogenization methods to approximate the effective response of random fibre-reinforced composites"
Int. J. Solids Structures 49, 1421–1433
Perrey-Debain, E., Abrahams, I.D. (2012)
"TE mode mixing dynamics in curved multimode optical waveguides"
Comm. Comp. Physics 11, 525-540
Parnell, W.J., Vu, M.-B., Grimal, Q, Naili, S. (2012)
"Analytical methods to determine the effective mesoscopic and macrosopic elastic properties of cortical bone"
J. Biomech. Modelling Mech. 11, 883-901
Parnell, W.J., Norris, A.N., Shearer, T. (2012)
"Employing pre-stress to generate finite cloaks for antiplane elastic waves"
Appl. Phys. Letters 100, 171907
Abrahams, I.D., Lawrie, J.B. (2012)
"Scattering of flexural waves by a semi-infinite crack in an elastic plate carrying an electric current"
Math. Mechanics of Solids 17, 43-58
Parnell, W.J. (2012)
"Nonlinear pre-stress for cloaking from antiplane elastic waves"
Proc. Roy. Soc. A 468, 563-580
Parnell, W.J., Abrahams, I.D. (2012)
"Antiplane wave scattering from a cylindrical void in a pre-stressed incompressible neo-Hookean material"
Comm. Comp. Physics 11, 367-382
"Source amplitudes for active exterior cloaking"
Inverse problems 28, 105002
Heil, M., Kharrat, T., Cotterill, P.A., Abrahams, I.D. (2012)
"Quasi-resonances in sound-insulating coatings"
J. Sound Vibration 331, 4774-4784
Norris, A.N., Parnell, W.J. (2012)
"Hyperelastic cloaking theory: Transformation elasticity with prestressed solids"
Proc. Roy. Soc. A 468, 2881-2903
Willoughby, N., Parnell, W.J., Hazel, A., Abrahams, I.D. (2012)
"Homogenization methods to approximate the effective response of random fibre-reinforced composites"
Int. J. Solids Structures 49, 1421–1433
Perrey-Debain, E., Abrahams, I.D. (2012)
"TE mode mixing dynamics in curved multimode optical waveguides"
Comm. Comp. Physics 11, 525-540
Parnell, W.J., Vu, M.-B., Grimal, Q, Naili, S. (2012)
"Analytical methods to determine the effective mesoscopic and macrosopic elastic properties of cortical bone"
J. Biomech. Modelling Mech. 11, 883-901
Parnell, W.J., Norris, A.N., Shearer, T. (2012)
"Employing pre-stress to generate finite cloaks for antiplane elastic waves"
Appl. Phys. Letters 100, 171907
Abrahams, I.D., Lawrie, J.B. (2012)
"Scattering of flexural waves by a semi-infinite crack in an elastic plate carrying an electric current"
Math. Mechanics of Solids 17, 43-58
Parnell, W.J. (2012)
"Nonlinear pre-stress for cloaking from antiplane elastic waves"
Proc. Roy. Soc. A 468, 563-580
Parnell, W.J., Abrahams, I.D. (2012)
"Antiplane wave scattering from a cylindrical void in a pre-stressed incompressible neo-Hookean material"
Comm. Comp. Physics 11, 367-382
2011
Grimal, Q., Rus, G., Parnell, W.J., Laugier, P. (2011)
"A two-parameter model of the effective elastic modulus tensor for cortical bone"
J. Biomech. 44, 1621-1625
Parnell, W.J., Abrahams, I.D. (2011)
"The effective wavenumber of a pre-stressed nonlinear microvoided composite"
J. Physics: Conference Series 269, 012007
Parnell, W.J., Martin, P.A. (2011)
"Multiple scattering of flexural waves by random configurations of inclusions in thin plates"
Wave Motion 48, 161-175
"A two-parameter model of the effective elastic modulus tensor for cortical bone"
J. Biomech. 44, 1621-1625
Parnell, W.J., Abrahams, I.D. (2011)
"The effective wavenumber of a pre-stressed nonlinear microvoided composite"
J. Physics: Conference Series 269, 012007
Parnell, W.J., Martin, P.A. (2011)
"Multiple scattering of flexural waves by random configurations of inclusions in thin plates"
Wave Motion 48, 161-175
2010
Parnell, W.J., Abrahams, I.D. (2010)
"Multiple point scattering to determine the effective wavenumber and effective properties of an inhomogeneous slab region"
Waves Rand. Complex Media 20, 678-701
Green, R., Fusai, G., Abrahams, I.D. (2010)
"The Wiener-Hopf technique and discretely monitored path-dependent option pricing"
Math. Finance 20 (2), 259-288
Martin, P.A., Maurel, A., Parnell, W.J. (2010)
"Estimating the dynamic effective mass density of random composites"
J. Acoust. Soc. America 128, 571-577
Parnell, W.J., Abrahams, I.D., Brazier-Smith, P.R. (2010)
"Effective properties of a composite half-space: exploring the relationship between homogenization and multiple scattering theories"
Quart. J. Mech. Appl. Math. 63, 145-175
"Multiple point scattering to determine the effective wavenumber and effective properties of an inhomogeneous slab region"
Waves Rand. Complex Media 20, 678-701
Green, R., Fusai, G., Abrahams, I.D. (2010)
"The Wiener-Hopf technique and discretely monitored path-dependent option pricing"
Math. Finance 20 (2), 259-288
Martin, P.A., Maurel, A., Parnell, W.J. (2010)
"Estimating the dynamic effective mass density of random composites"
J. Acoust. Soc. America 128, 571-577
Parnell, W.J., Abrahams, I.D., Brazier-Smith, P.R. (2010)
"Effective properties of a composite half-space: exploring the relationship between homogenization and multiple scattering theories"
Quart. J. Mech. Appl. Math. 63, 145-175