| People | Locations | Statistics |
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| Naji, M. |
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| Motta, Antonella |
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| Aletan, Dirar |
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| Mohamed, Tarek |
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| Ertürk, Emre |
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| Taccardi, Nicola |
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| Kononenko, Denys |
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| Petrov, R. H. | Madrid |
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| Alshaaer, Mazen | Brussels |
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| Bih, L. |
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| Casati, R. |
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| Muller, Hermance |
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| Kočí, Jan | Prague |
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| Šuljagić, Marija |
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| Kalteremidou, Kalliopi-Artemi | Brussels |
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| Azam, Siraj |
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| Ospanova, Alyiya |
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| Blanpain, Bart |
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| Ali, M. A. |
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| Popa, V. |
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| Rančić, M. |
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| Ollier, Nadège |
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| Azevedo, Nuno Monteiro |
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| Landes, Michael |
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| Rignanese, Gian-Marco |
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Parnell, William J.
in Cooperation with on an Cooperation-Score of 37%
Topics
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
Transition from equatorial to whole-shell buckling in embedded spherical shells under axisymmetric far-field loading
Abstract
Motivated by the need to understand the compression of syntactic foam composites, we solve the canonical problem of buckling of a thin spherical shell embedded in a medium that is much softer than the shell. Syntactic foams comprise shells that usually have diameters in the micron range and are distributed inside a matrix medium that is typically polymeric. Such foams are commonly employed in a range of applications where high stiffness to density ratios are of interest. This can be tailored via choice of shell thickness and type, and filler volume fraction.<br/><br/>Embedded glass microspheres fracture under sufficiently high loading, leading to a permanent softening of the syntactic foam. Embedded polymeric Expancel microspheres however are thought to buckle because the associated softening of the foam is recoverable. We determine critical buckling pressures in the practical scenarios of hydrostatic and uniaxial compressive loading states by solving a more general uniaxial loading problem. Critically, we investigate the thin-stiff shell limit, which yields very different results from a standard thin-shell limit under the assumption that the shell and matrix have stiffnesses of the same order. We employ nonlinear shell theory, linear stability analysis and rigorous asymptotics. We present numerical results for the critical buckling pressure over a wide range of shell thickness and contrasts in shell/matrix stiffnesses. Results for hydrostatic loading are compared against existing analytical and semi-analytical models for embedded shells. Under uniaxial loading we note that there are two distinct regions of parameter space, corresponding to equatorial and non-equatorial buckling regimes. The two non-dimensional parameters of critical importance are the shell thickness to radius ratio h/R and the shell to matrix shear modulus ratio µ<sub>m</sub>/µ<sub>s</sub>. By fixing one whilst varying the other we observe and describe the transition between these two regimes.