| 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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Mulholland, Anthony J.
University of Bristol
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (30/30 displayed)
- 2021Modelling of ultrasonic waves in layered elastic heterogeneous materialscitations
- 2020Effective Grain Orientation Mapping of Complex and Locally Anisotropic Media for Improved Imaging in Ultrasonic Non-Destructive Testingcitations
- 2019Analysis of a fractal ultrasonic transducer with a range of piezoelectric length scalescitations
- 2018Linear ultrasonic array design using cantor set fractal geometrycitations
- 2018Broadband 1-3 piezoelectric composite transducer design using Sierpinski Gasket fractal geometrycitations
- 2017Renormalisation analysis of a composite ultrasonic transducer with a fractal architecturecitations
- 2017Pipe organ air-coupled broad bandwidth transducer
- 2017A weak-inertia mathematical model of bubble growth in a polymer foamcitations
- 2017A nonlinear elasticity approach to modelling the collapse of a shelled microbubblecitations
- 2017Linear ultrasonic array incorporating a Cantor Set fractal element configuration
- 2016Investigating the performance of a fractal ultrasonic transducer under varying system conditionscitations
- 2016Improving the operational bandwidth of a 1-3 piezoelectric composite transducer using Sierpinski Gasket fractal geometry
- 2015Dynamical model of an oscillating shelled microbubble
- 2015System modeling and device development for passive acoustic monitoring of a particulate-liquid processcitations
- 2015A finite element approach to modelling fractal ultrasonic transducerscitations
- 2015A model-based approach to crack sizing with ultrasonic arrayscitations
- 2015A Composite Ultrasonic Transducer with a Fractal Architecture
- 2012Ultrasonic wave propagation in heterogenous media
- 2012The use of fractal geometry in the design of piezoelectric ultrasonic transducerscitations
- 2010Properties of photocured epoxy resin materials for application in piezoelectric ultrasonic transducer matching layerscitations
- 2010An electrostatic ultrasonic transducer incorporating resonating conduits
- 2009Theoretical analysis of ultrasonic vibration spectra from multiple particle-plate impactscitations
- 2009Estimating particle concentration using passive ultrasonic measurement of impact vibrationscitations
- 2009The causal differential scattering approach to calculating the effective properties of random composite materials with a particle size distribution
- 2008Harmonic analysis of lossy piezoelectric composite transducers using the plane wave expansion methodcitations
- 2008Analysis of ultrasonic transducers with fractal architecturecitations
- 2008Enhancing the performance of piezoelectric ultrasound transducers by the use of multiple matching layerscitations
- 2008Particle sizing using passive ultrasonic measurement of particle-wall impact vibrationscitations
- 2007Theoretical modelling of frequency dependent elastic loss in composite piezoelectric transducerscitations
- 2000Wave propagation in 0-3/3-3 connectivity composites with complex microstructurecitations
Places of action
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article
A weak-inertia mathematical model of bubble growth in a polymer foam
Abstract
One possible manufacturing method for bone scaffolds used in regenerative medicine involves the acoustic irradiation of a reacting polymer foam to generate a graded porosity. This paper derives a mathematical model of a non-reacting process in order to develop theoretical confirmation of the influence of the acoustic signal on the polymer foam. The model describes single bubble growth in a free rising, non-reacting polymer foam irradiated by an acoustic standing wave and incorporates the effects of inertia. Leading and first order asymptotic inner solutions in the temporal domain (early growth) are presented for the case of instantaneous diffusion when the fluid volume surrounding the bubble is large compared to the bubble volume. The leading order asymptotic outer solution (late growth), for the case of instantaneous diffusion, is described analytically using the Picard iteration method. Initial conditions for this outer solution are identified through matching with the asymptotic inner solution. A numerical solution for the leading order outer equation is also presented. Investigations are carried out to explore the influence of inertia on the bubble volume, fluid pressure and the stress tensors of the foam, and to explore the effect of fluid viscosity and acoustic pressure amplitude on the final bubble volume, and the curing time. A key result is that increasing the applied acoustic pressure is shown to result in a reduced steady state bubble volume, indicating that ultrasonic irradiation has the potential to produce tailored porosity profiles in bioengineering scaffolds.