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Parnell, William J.
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Publications (21/21 displayed)
- 2022Deeply subwavelength giant monopole elastodynamic metacluster resonators
- 2022A unified framework for linear thermo-visco-elastic wave propagation including the effects of stress-relaxationcitations
- 2022Transition from equatorial to whole-shell buckling in embedded spherical shells under axisymmetric far-field loadingcitations
- 2022Enhanced elastodynamic resonance via co-dipole metaclusterscitations
- 2021Geometrical and Mechanical Characterisation of Hollow Thermoplastic Microspheres for Syntactic Foam Applicationscitations
- 2019Soft metamaterials with dynamic viscoelastic functionality tuned by pre-deformationcitations
- 2018Thermo-viscous damping of acoustic waves in narrow channels: A comparison of effects in air and water.
- 2018Thermo-viscous damping of acoustic waves in narrow channels: a comparison of effects in air and watercitations
- 2018The inflation of viscoelastic balloons and hollow visceracitations
- 2018The inflation of viscoelastic balloons and hollow visceracitations
- 2018Deepening subwavelength acoustic resonance via metamaterials with universal broadband elliptical microstructurecitations
- 2015Hashin–Shtrikman bounds on the effective thermal conductivity of a transversely isotropic two-phase composite material
- 2013Predicting the pressure-volume curve of an elastic microsphere compositecitations
- 2013Predicting the pressure-volume curve of an elastic microsphere compositecitations
- 2012Employing pre-stress to generate finite cloaks for antiplane elastic wavescitations
- 2012Homogenization methods to approximate the effective response of random fibre-reinforced Compositescitations
- 2012Nonlinear pre-stress for cloaking from antiplane elastic wavescitations
- 2011The effective wavenumber of a pre-stressed nonlinear microvoided compositecitations
- 2009The influence of mesoscale porosity on cortical bone anisotropy. Investigations via asymptotic homogenizationcitations
- 2008Homogenization for wave propagation in periodic fibre-reinforced media with complex microstructure. I-Theorycitations
- 2007Effective wave propagation in a prestressed nonlinear elastic composite barcitations
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article
The effective wavenumber of a pre-stressed nonlinear microvoided composite
Abstract
By using nonlinear elasticity and a modified version of classical multiple scattering theory we derive an explicit form for the effective wavenumber for horizontally polarized shear (SH) elastic waves propagating through a pre-stressed inhomogeneous material consisting of well-separated cylindrical voids embedded in a neo-Hookean rubber host phase. The resulting effective (incremental) antiplane shear modulus is thus also derived. © Published under licence by IOP Publishing Ltd.