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Accepting PhD Students

1995 …2021
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Research Output 1995 2019

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Article
Article
3 Citations (Scopus)
260 Downloads (Pure)

A dual weighted residual method applied to complex periodic gratings

Lord, N. H. & Mulholland, A. J., 8 Dec 2013, In : Proceedings of the Royal Society of Edinburgh: Section A Mathematics . 469, 2160, 17 p., 20130176.

Research output: Contribution to journalArticle

Open Access
File
A Posteriori Error Estimates
Gratings
Diffraction Efficiency
Diffraction Grating
Hermann Von Helmholtz
7 Citations (Scopus)
100 Downloads (Pure)

A finite element approach to modelling fractal ultrasonic transducers

Algehyne, E. A. & Mulholland, A. J., 1 Dec 2015, In : IMA Journal of Applied Mathematics. 80, 6, p. 1684-1702 19 p.

Research output: Contribution to journalArticle

Open Access
File
Ultrasonic transducers
Transducer
Fractals
Fractal
Finite Element
chirp
bubbles
ultrasonics
cross correlation
sizing
6 Citations (Scopus)
70 Downloads (Pure)
Open Access
File
Fractional Fourier Transform
Ultrasonic Wave
Chirp
Ultrasonic waves
ultrasonic radiation
14 Citations (Scopus)
91 Downloads (Pure)
Open Access
File
sizing
cracks
ultrasonics
Ultrasonics
Cracks
3 Citations (Scopus)
55 Downloads (Pure)

Analysis and interpretation of compressible fluid interaction upon the vibration of a circular membrane

Gorman, D., Horacek, J., Mulholland, A. & Gorman, M. N., 2013, In : Acta Technica. 58, 4, p. 443-461 19 p.

Research output: Contribution to journalArticle

File
Compressible Fluid
Membrane
Vibration
Membranes
Fluid
19 Downloads (Pure)

Analysis of a fractal ultrasonic transducer with a range of piezoelectric length scales

Algehyne, E. A. & Mulholland, A. J., 1 Jun 2019, In : IMA Journal of Applied Mathematics. 84, 3, p. 605-631 25 p.

Research output: Contribution to journalArticle

Open Access
File
Ultrasonic transducers
Piezoelectric transducers
Transducer
Length Scale
Fractals
6 Citations (Scopus)

Analysis of the Rayleigh-Plesset equation with chirp excitation

Barlow, E., Mulholland, A. J., Gachagan, A., Nordon, A. & MacPherson, K. G., Feb 2009, In : IMA Journal of Applied Mathematics. 74, 1, p. 20-34 14 p.

Research output: Contribution to journalArticle

Rayleigh Equation
Chirp
Bubble
Excitation
Ultrasonics
7 Citations (Scopus)
58 Downloads (Pure)

Analysis of ultrasonic transducers with fractal architecture

Orr, L., Mulholland, A. J., O'Leary, R. L. & Hayward, G., Dec 2008, In : Fractals. 16, 4, p. 333-349 17 p.

Research output: Contribution to journalArticle

Open Access
File
Ultrasonic transducers
Transducer
Fractals
Fractal
Manufacturing
19 Citations (Scopus)
9 Downloads (Pure)

Analytical modelling and extraction of the modal behaviour of a cantilever beam in fluid interaction

Gorman, D. G., Trendafilova, I., Mulholland, A. J. & Horáček, J., 20 Nov 2007, In : Journal of Sound and Vibration. 308, 1-2, p. 231-245 14 p.

Research output: Contribution to journalArticle

cantilever beams
Cantilever beams
resonant frequencies
Natural frequencies
Fluids
Diffraction Grating
A Priori Error Estimates
Finite Element Modeling
Diffraction gratings
Electromagnetic Wave
3 Citations (Scopus)
126 Downloads (Pure)
File
Connector
Airframes
Inverse problems
Electric lines
Inverse Problem
44 Downloads (Pure)

A nonlinear elasticity approach to modelling the collapse of a shelled microbubble

Cowley, J., Mulholland, A. J. & Gachagan, A., 31 Aug 2017, In : IMA Journal of Applied Mathematics. 82, 4, p. 781-801 21 p.

Research output: Contribution to journalArticle

Open Access
File
Microbubbles
Nonlinear Elasticity
Elasticity
Shell
Modeling
1 Citation (Scopus)
21 Downloads (Pure)

A pipe organ-inspired ultrasonic transducer

Walker, A. J. & Mulholland, A. J., 1 Dec 2018, In : IMA Journal of Applied Mathematics. 82, 6, p. 1135-1150 16 p.

Research output: Contribution to journalArticle

Open Access
File
Ultrasonic transducers
Transducer
Pipe
Electrostatics
Transmission Line
5 Citations (Scopus)
44 Downloads (Pure)
Open Access
File
phased arrays
factorization
ultrasonics
apertures
S matrix theory
7 Citations (Scopus)
157 Downloads (Pure)

A renormalisation approach to excitable reaction-diffusion waves in fractal media

Abdulbake, J., Mulholland, A. J. & Gomatam, J., 2003, In : Chaos, Solitons and Fractals. 11, 4, p. 315-330 15 p.

Research output: Contribution to journalArticle

Open Access
File
Reaction-diffusion
Renormalization
Wave Propagation
Fractal
Sierpinski Gasket
1 Citation (Scopus)
45 Downloads (Pure)

A spectral method for sizing cracks using ultrasonic arrays

Cunningham, L. J., Mulholland, A. J., Tant, K. M. M., Gachagan, A., Harvey, G. & Bird, C., 9 Mar 2017, In : Inverse Problems in Science and Engineering. 19 p.

Research output: Contribution to journalArticle

Open Access
File
Spectral Methods
Crack
Ultrasonics
Scattering Matrix
Cracks
3 Citations (Scopus)

Assessment of adhesively bonded aluminium joints by high frequency dielectric measurements

Crane, R. L., Hayward, D., McConnell, B., Pethrick, R. A., Mulholland, A. J., McKee, S. & Mackay, C., 2006, In : Sampe Journal. 42, 5, p. 35-38 3 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)
113 Downloads (Pure)

A theoretical analysis of a piezoelectric ultrasound device with an active matching layer

Mulholland, A., Ramadas, S. N., O'Leary, R. L., Parr, A. C. S., Troge, A., Hayward, G. & Pethrick, R. A., 31 Dec 2007, In : Ultrasonics. 47, 1, p. 102-110 8 p.

Research output: Contribution to journalArticle

Open Access
File
piezoelectric transducers
flexibility
2 Citations (Scopus)

A theoretical investigation of chirp insonification of ultrasound contrast agents

Barlow, E., Mulholland, A. J., Gachagan, A. & Nordon, A., Aug 2011, In : Ultrasonics. 51, 6, p. 725-733 9 p.

Research output: Contribution to journalArticle

chirp
harmonics
chirp signals
elastic properties
viscosity
6 Citations (Scopus)

A theoretical model of an electrostatic ultrasonic transducer incorporating resonating conduits

Walker, A. J., Mulholland, A. J. & Whitely, S., May 2010, In : IMA Journal of Applied Mathematics. 75, 5, p. 796-810 14 p.

Research output: Contribution to journalArticle

Ultrasonic transducers
Transducer
Electrostatics
Theoretical Model
Cavity
4 Citations (Scopus)
96 Downloads (Pure)

A theoretical model of an ultrasonic transducer incorporating spherical resonators

Walker, A. J. & Mulholland, A. J., 1 Feb 2016, In : IMA Journal of Applied Mathematics. 81, 1, p. 1-25 25 p.

Research output: Contribution to journalArticle

Open Access
File
Ultrasonic transducers
Resonator
Transducer
Theoretical Model
Resonators
3 Citations (Scopus)
17 Downloads (Pure)

A transdimensional Bayesian approach to ultrasonic travel-time tomography for non-destructive testing

Tant, K. M. M., Galetti, E., Mulholland, A. J., Curtis, A. & Gachagan, A., 29 Jun 2018, In : Inverse Problems. 34, 9, 29 p., 095002.

Research output: Contribution to journalArticle

Open Access
File
Travel Time
Travel time
Tomography
Nondestructive examination
Bayesian Approach
2 Citations (Scopus)
94 Downloads (Pure)

A weak-inertia mathematical model of bubble growth in a polymer foam

Barlow, E., Bradley, A. M., Mulholland, A. J. & Torres-Sanchez, C., 30 Jun 2017, In : Journal of Non-Newtonian Fluid Mechanics. 244, p. 1-14 14 p.

Research output: Contribution to journalArticle

Open Access
File
Foam
foams
inertia
Inertia
Bubble
6 Citations (Scopus)
45 Downloads (Pure)
Open Access
File
Hyperbolic Set
Excitable Systems
Fractal Structure
Invariant Set
Traveling Wave Solutions
2 Citations (Scopus)
16 Downloads (Pure)
Open Access
File
Fractals
Transducers
fractals
transducers
broadband
8 Citations (Scopus)

Calculation of chemical and phase equilibria via simulated annealing

Reynolds, D., Mulholland, A. & Gomatam, J., 1997, In : Journal of Mathematical Chemistry. 22, 1, p. 25-37 12 p.

Research output: Contribution to journalArticle

Phase Equilibria
Simulated annealing
Simulated Annealing
Phase equilibria
Equilibrium Problem
1 Citation (Scopus)
9 Downloads (Pure)

Design-for-testing for improved remanufacturability

Tant, K. M. M., Mulholland, A. J., Curtis, A. & Ijomah, W. L., 10 Sep 2018, In : Journal of Remanufacturing.

Research output: Contribution to journalArticle

Open Access
File
Nondestructive examination
nondestructive testing
Testing
Geometry
Structural integrity
3 Citations (Scopus)
Excitable Systems
spherical waves
Reaction-diffusion System
Diffraction
Hemisphere
14 Citations (Scopus)
125 Downloads (Pure)

Diffusion and convection of gaseous and fine particulate from a chimney

Mackay, C., Mulholland, A. & McKee, S., 2006, In : IMA Journal of Applied Mathematics. 71, 5, p. 670-691 21 p.

Research output: Contribution to journalArticle

File
Chimneys
Convection
Inverse problems
Ground state
Mass transfer
10 Citations (Scopus)

Enhancing the performance of piezoelectric ultrasound transducers by the use of multiple matching layers

Mulholland, A., Ramadas, S. N., O'Leary, R. L., Parr, A. C. S., Hayward, G., Troge, A. & Pethrick, R. A., Dec 2008, In : IMA Journal of Applied Mathematics. 73, 6, p. 936-949 14 p.

Research output: Contribution to journalArticle

Ultrasound
Transducer
Transducers
Ultrasonics
Piezoelectric transducers
5 Citations (Scopus)
3 Downloads (Pure)

Estimating particle concentration using passive ultrasonic measurement of impact vibrations

Carson, G., Mulholland, A. J., Nordon, A., Tramontana, M., Gachagan, A. & Hayward, G., Feb 2009, In : IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control. 56, 2, p. 345-352 8 p.

Research output: Contribution to journalArticle

Ultrasonic measurement
Ultrasonic transducers
Power spectrum
estimating
ultrasonics
23 Citations (Scopus)
216 Downloads (Pure)

Estimation of particle size distribution and aspect ratio of non-spherical particles from chord length distribution

Agimelen, O. S., Hamilton, P., Haley, I., Nordon, A., Vasile, M., Sefcik, J. & Mulholland, A. J., 17 Feb 2015, In : Chemical Engineering Science . 123, p. 629-640 12 p.

Research output: Contribution to journalArticle

Open Access
File
Chord or secant line
Particle Size
Aspect Ratio
Particle size analysis
Aspect ratio
6 Citations (Scopus)

Existence and stability of reaction-diffusion waves on a fractal lattice

Abdulbake, J., Mulholland, A. & Gomatam, J., 2004, In : Chaos, Solitons and Fractals. 20, 4, p. 799-814 15 p.

Research output: Contribution to journalArticle

Reaction-diffusion
Traveling Wave
Fractal
Renormalization
Wave Propagation
2 Citations (Scopus)
69 Downloads (Pure)

Explicit error bounds for the α-quasi-periodic Helmholtz problem

Lord, N. H. & Mulholland, A. J., 1 Oct 2013, In : Journal of the Optical Society of America A. 30, 10, p. 2111-2123 13 p.

Research output: Contribution to journalArticle

Open Access
File
A Priori Error Estimates
Explicit Bounds
Hermann Von Helmholtz
Error Bounds
estimates
3 Citations (Scopus)

Fractal morphology of deposits in heat exchangers and their physical properties

Gomatam, J. & Mulholland, A. J., Mar 2001, In : Fractals. 9, 1, p. 31-50 19 p.

Research output: Contribution to journalArticle

Heat Exchanger
Physical property
Fractals
Heat exchangers
Fractal
4 Citations (Scopus)
58 Downloads (Pure)

Harmonic analysis of lossy piezoelectric composite transducers using the plane wave expansion method

Orr, L-A., Mulholland, A. J., O'Leary, R. L. & Hayward, G., 31 Dec 2008, In : Ultrasonics. 48, 8, p. 652-663 12 p.

Research output: Contribution to journalArticle

Open Access
File
harmonic analysis
transducers
plane waves
expansion
composite materials
6 Citations (Scopus)

Integrated modelling of process heat transfer with combustion and fouling

Isdale, J. D., Mercier, P., Grillot, J. M., Mulholland, A. J. & Gomatam, J., Oct 1997, In : Applied Thermal Engineering. 17, 8, p. 751-762 11 p.

Research output: Contribution to journalArticle

Fouling
Heat transfer
Energy efficiency
Industry
18 Citations (Scopus)
141 Downloads (Pure)

Integration of in situ imaging and chord length distribution measurements for estimation of particle size and shape

Agimelen, O. S., Jawor-Baczynska, A., McGinty, J., Dziewierz, J., Tachtatzis, C., Cleary, A., Haley, I., Michie, C., Andonovic, I., Sefcik, J. & Mulholland, A. J., 22 Apr 2016, In : Chemical Engineering Science . 144, p. 87-100 14 p.

Research output: Contribution to journalArticle

Open Access
File
Aspect ratio
Particle size
Imaging techniques
Particle size analysis
Processing
3 Citations (Scopus)
73 Downloads (Pure)

Investigating the performance of a fractal ultrasonic transducer under varying system conditions

Barlow, E., Algehyne, E. A. & Mulholland, A. J., 6 Jun 2016, In : Symmetry. 8, 6, 30 p., 43.

Research output: Contribution to journalArticle

Open Access
File
Ultrasonic transducers
Transducer
Fractals
Transducers
Fractal

Knotted reaction-diffusion waves

McDermott, S., Mulholland, A. J. & Gomatam, J., 8 Dec 2002, In : Proceedings A: Mathematical, Physical and Engineering Sciences. 458, 2028, p. 2947-2966 19 p.

Research output: Contribution to journalArticle

diffusion waves
Reaction-diffusion
formulations
support systems
Formulation
2 Citations (Scopus)

Modelling high temperature salt condensation; Fick and Soret diffusion effects

Mulholland, A. J., Gomatam, J. & Jenkins, A., 1999, In : International Journal of Thermal Sciences . 38, 5, p. 436-441 5 p.

Research output: Contribution to journalArticle

Condensation
boundary layers
Chapman-Enskog theory
condensation
sondes
7 Citations (Scopus)
75 Downloads (Pure)
Open Access
File
Needles
Diffraction
Particle size
Inverse problems
Particle size analysis
3 Citations (Scopus)
16 Downloads (Pure)
Open Access
File
Slurries
Particle size
Crystallization
Particle size analysis
Crystals
7 Citations (Scopus)
62 Downloads (Pure)

On well-posedness for some thermo-piezoelectric coupling models

Mulholland, A. J., Picard, R., Trostorff, S. & Waurick, M., 31 Oct 2016, In : Mathematical Methods in the Applied Sciences. 39, 15, p. 4375-4384 12 p.

Research output: Contribution to journalArticle

Open Access
File
Well-posedness
Sensor
Ultrasonic transducers
Piezoelectric transducers
Sensors
13 Citations (Scopus)
7 Downloads (Pure)

Particle sizing using passive ultrasonic measurement of particle-wall impact vibrations

Carson, G., Mulholland, A. J., Nordon, A., Tramontana, M., Gachagan, A. & Hayward, G., 21 Oct 2008, In : Journal of Sound and Vibration. 317, 1-2, p. 142-157 15 p.

Research output: Contribution to journalArticle

Ultrasonic measurement
sizing
ultrasonics
Particle size
vibration

Pattern formation in excitable reaction-diffusion systems: the eikonal analysis on the torus

Mulholland, A. J. & Gomatam, J., 1995, In : Journal of Biological Systems. 3, 4, p. 1013-1019 6 p.

Research output: Contribution to journalArticle

Excitable Systems
Pattern Formation
Reaction-diffusion System
Reaction-diffusion Equations
Torus
11 Citations (Scopus)

Piezoelectric ultrasonic transducers with fractal geometry

Mulholland, A. J. & Walker, A. J., Dec 2011, In : Fractals. 19, 4, p. 469-479 11 p.

Research output: Contribution to journalArticle

Fractal Geometry
Ultrasonic transducers
Piezoelectric transducers
Transducer
Fractals
1 Citation (Scopus)
33 Downloads (Pure)

"Pipe organ" inspired air-coupled ultrasonic transducers with broader bandwidth

Zhu, B., Tiller, B. P., Walker, A. J., Mulholland, A. J. & Windmill, J. F. C., 1 Oct 2018, In : IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control. 65, 10, p. 1873-1881 9 p.

Research output: Contribution to journalArticle

Open Access
File
Ultrasonic transducers
organs
Piezoelectric transducers
transducers
ultrasonics
46 Downloads (Pure)

Positional uncertainty in optical-based metrology systems in large volume manufacturing

Miller, A., Mulholland, A. J., Pierce, S. G., Hughes, B. & Forbes, A. B., 4 Jul 2018, In : Acta IMEKO. 7, 2, 6 p.

Research output: Contribution to journalArticle

Open Access
File
Light refraction
Robotic assembly
Position measurement
Photogrammetry
Air