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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
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document
Modelling of ultrasonic waves in layered elastic heterogeneous materials
Abstract
This article considers the propagation of high frequency elastic waves in a polycrystalline material. In this high frequency regime, we assume that the wave ‘sees’ the complex media as a series of locally anisotropic layers with varying thicknesses, where the distribution of layer thicknesses and orientations follow a stochastic (Markovian) process. This leads to a set of stochastic differential equations which describe the statistics of the energy in the system. The material properties are captured by the correlation integral which encapsulates the coupling of length-scales between the random media and the probing wave. Using experimentally obtained EBSD (electron backscatter diffraction) data for an austenitic steel weld, and subsequent processing of the data via a ray based probing technique, this paper reports on how to calculate the correlation integral.