Liverpool Skyline

Department of Maritime and Mechanical Engineering

Prof Ian Jones

Prof Ian Jones

Telephone: 0151 231 2506

Publications

Highlighted publications

Haslinger SG, Craster RV, Movchan AB, Movchan NV, Jones IS. 2016. Dynamic interfacial trapping of flexural waves in structured plates Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 >DOI

Journal article

Carta G, Nieves MJ, Jones IS, Movchan NV, Movchan AB. 2018. Elastic Chiral Waveguides with Gyro-Hinges Quarterly Journal of Mechanics and Applied Mathematics, 71 :157-185 >DOI >Link

Haslinger SG, Jones IS, Movchan NV, Movchan AB. 2018. Localization in semi-infinite herringbone waveguides PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 474 >DOI >Link

Haslinger SG, Jones IS, Movchan NV, Movchan AB. 2018. Semi-infinite herringbone waveguides in elastic plates Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, >DOI >Link

Haslinger SG, Movchan NV, Movchan AB, Jones IS, Craster RV. 2017. CONTROLLING FLEXURAL WAVES IN SEMI-INFINITE PLATONIC CRYSTALS WITH RESONATOR-TYPE SCATTERERS QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 70 :215-247 >DOI >Link

Carta G, Jones IS, Movchan NV, Movchan AB, Nieves MJ. 2017. Gyro-elastic beams for the vibration reduction of long flexural systems PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 473 >DOI >Link

Jones IS, Movchan NV, Movchan AB. 2016. Blockage and guiding of flexural waves in a semi-infinite double grating Mathematical Methods in the Applied Sciences, :10.1002/mma.4139-10.1002/mma.4139 >DOI

Haslinger SG, Craster RV, Movchan AB, Movchan NV, Jones IS. 2016. Dynamic interfacial trapping of flexural waves in structured plates Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 >DOI

Misseroni D, Colquitt DJ, Movchan AB, Movchan NV, Jones IS. 2016. Cymatics for the cloaking of flexural vibrations in a structured plate Nature Publishing Group, 44 :1-13 >DOI

Jones IS, Brun M, Movchan NV, Movchan AB. 2015. Singular perturbations and cloaking illusions for elastic waves in membranes and Kirchhoff plates International Journal of Solids and Structures, 69-70 :498-506 >DOI

Colquitt DJ, Brun M, Gei M, Movchan AB, Movchan NV, Jones IS. 2014. Transformation elastodynamics and cloaking for flexural waves Journal of the Mechanics and Physics of Solids, 72 :131-143 >DOI

Brun M, Colquitt DJ, Jones IS, Movchan AB, Movchan NV. 2014. Transformation cloaking and radial approximations for flexural waves in elastic plates New Journal of Physics, 16 >DOI

Nieves MJ, Jones IS, Movchan AB. 2014. Dynamic response of a growing inclusion in a discrete system International Journal of Solids and Structures, 51 :2990-3001 >DOI

Carta G, Brun M, Movchan AB, Movchan NV, Jones IS. 2014. Dispersion properties of vortex-type monatomic lattices International Journal of Solids and Structures, 51 :2213-2225 >DOI

Carta G, Brun M, Movchan AB, Movchan NV, Jones IS. 2014. Dispersion properties of vortex-type monatomic lattices International Journal of Solids and Structures, 51 :2213-2225 >DOI

Brun M, Movchan A, Jones I, McPhedran R. 2013. Bypassing shake, rattle and roll PHYSICS WORLD, 26 :32-36 >DOI >Link

Brun M, Movchan AB, Jones IS, McPhedran RC. 2013. Bypassing shake, rattle and roll Physics World, 26 :32-36

Brun M, Movchan AB, Jones IS. 2013. Phononic Band Gap Systems in Structural Mechanics: Finite Slender Elastic Structures and Infinite Periodic Waveguides JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 135 >DOI >Link

Colquitt DJ, Jones IS, Movchan NV, Movchan AB, Brun M, McPhedran RC. 2013. Making waves round a structured cloak: lattices, negative refraction and fringes PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 469 >DOI >Link

Carta G, Jones IS, Brun M, Movchan NV, Movchan AB. 2013. Crack propagation induced by thermal shocks in structured media International Journal of Solids and Structures, 50 :2725-2736 >DOI

Carta G, Jones IS, Brun M, Movchan NV, Movchan AB. 2013. Crack propagation induced by thermal shocks in structured media International Journal of Solids and Structures, >DOI

Nieves MJ, Movchan AB, Jones IS, Mishuris GS. 2013. Propagation of Slepyan's crack in a non-uniform elastic lattice Journal of the Mechanics and Physics of Solids, 61 :1464-1488 >DOI

Nieves MJ, Movchan AB, Jones IS. 2012. Analytical model of thermal striping for a micro-cracked solid International Journal of Solids and Structures,

Colquitt DJ, Nieves MJ, Jones IS, Movchan NV, Movchan AB. 2012. Trapping of a crack advancing through an elastic lattice International Journal of Engineering Science, 61 :129-141 >DOI

Colquitt DJ, Nieves MJ, Jones IS, Movchan NV, Movchan AB. 2012. Trapping of a crack advancing through an elastic lattice International Journal of Engineering Science,

Colquitt DJ, Jones IS, Movchan NV, Movchan AB, McPhedran RC. 2012. Dynamic anisotropy and localization in elastic lattice systems Waves in Random and Complex Media, 22 :143-159 >DOI

Nieves MJ, Movchan AB, Jones IS. 2012. Analytical model of thermal striping for a micro-cracked solid International Journal of Solids and Structures, 49 :1189-1194 >DOI

Nieves MJ, Movchan AB, Jones IS. 2011. ASYMPTOTIC APPROXIMATION FOR THE WEIGHT FUNCTION IN A SOLID WITH A SURFACE-BREAKING CRACK AND SMALL VOIDS MULTISCALE MODELING & SIMULATION, 9 :1444-1458 >DOI >Link

Colquitt DJ, Jones IS, Movchan NV, Movchan AB. 2011. Dispersion and localization of elastic waves in materials with microstructure PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 467 :2874-2895 >DOI >Link

Nieves MJ, Movchan AB, Jones IS. 2011. Asymptotic Study of A Thermoelastic Problem in A Semi-Infinite Body Containing A Surface-Breaking Crack and Small Perforations QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 64 :349-369 >DOI >Link

Jones IS, Movchan AB, Gei M. 2011. Waves and damage in structured solids with multi-scale resonators PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 467 :964-984 >DOI >Link

Movchan AB, Jones IS. 2010. Asymptotic and numerical models of waves in tunable multi-scale structures CONTINUUM MECHANICS AND THERMODYNAMICS, 22 :531-544 >DOI >Link

Colquitt DJ, Movchan AB, Jones IS, Daniels W. 2010. Frequency related localisation of harmonic elastic waves in stratified welds ACTA MECHANICA SINICA, 26 :567-572 >DOI >Link

Gei M, Movchan AB, Jones IS. 2009. JUNCTION CONDITIONS FOR CRACKED ELASTIC THIN SOLIDS UNDER BENDING AND SHEAR QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 62 :481-493 >DOI >Link

Zalipaev VV, Jones IS, Movchan AB. 2009. A thermoelastic junction problem in a thin-walled structure: asymptotic analysis PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 465 :1309-1321 >DOI >Link

Zalipaev VV, Movchan AB, Jones IS. 2009. Asymptotic model of fields in a thin-walled structure with crack-like defects QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 62 :1-17 >DOI >Link

Jones IS, Movchan AB. 2008. Temperature-controlled stop bands for elastic Bloch-Floquet waves in periodic thermo-elastic structures ASME International Mechanical Engineering Congress and Exposition, Proceedings, 10 PART B :93-95 >DOI

Jones IS. 2008. Engineering mathematics assessment using MapleTA¯. International Journal for Technology in Mathematics Education, 15 :137-149

Jones IS. 2008. Computer-aided assessment questions in engineering mathematics using MapleTA¯ International Journal of Mathematical Education in Science & Technology, 39 :341-356 >DOI

Zalipaev VV, Movchan AB, Jones IS. 2008. Waves in lattices with imperfect junctions and localized defect modes PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 464 :2037-2054 >DOI >Link

Zalipaev VV, Movchan AB, Jones IS. 2007. Two-parameter asymptotic approximations in the analysis of a thin solid fixed on a small part of its boundary QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 60 :457-471 >DOI >Link

Jones IS, Movchan AB. 2007. Bloch-Floquet waves and controlled stop bands in periodic thermo-elastic structures WAVES IN RANDOM AND COMPLEX MEDIA, 17 :429-438 >DOI >Link

Jones IS. 2006. Thermal stripping fatigue damage in multiple edge-cracked geometrics (vol 2, pg 123, 2006) FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES, 29 :279-280 >Link

Zhelezina E, Jones IS, Movchan AB. 2006. Singular perturbation analysis of dynamic fields in a thermoelastic solid with a small surface-breaking crack ACTA MECHANICA SINICA, 22 :449-454 >DOI >Link

Movchan AB, Jones IS. 2006. Asymptotic and numerical study of a surface breaking crack subject to a transient thermal loading ACTA MECHANICA SINICA, 22 :22-27 >DOI >Link

Jones IS. 2006. Thermal striping fatigue damage in multiple edge-cracked geometries FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES, 29 :123-134 >DOI >Link

Jones IS. 2005. Impulse response model of thermal striping for hollow cylindrical geometries THEORETICAL AND APPLIED FRACTURE MECHANICS, 43 :77-88 >DOI >Link

Jones IS. 2003. Small edge crack in a semi-infinite solid subjected to thermal stratification THEORETICAL AND APPLIED FRACTURE MECHANICS, 39 :7-21 >DOI >Link

Jones IS, Rothwell G. 2001. Reference stress intensity factors with application to weight functions for internal circumferential cracks in cylinders ENGINEERING FRACTURE MECHANICS, 68 :435-454 >DOI >Link

Jones IS. 1999. The application of a displacement controlled weight function for a single edge cracked plate to thermal fatigue damage assessment (vol 62, pg 249, 1999) ENGINEERING FRACTURE MECHANICS, 63 :325-343 >Link

Jones IS. 1999. The application of a displacement controlled weight function for a single edge cracked plate to thermal fatigue damage assessment ENGINEERING FRACTURE MECHANICS, 62 :249-266 >DOI >Link

Jones IS. 1998. A wide range weight function for a single edge cracked geometry with clamped ends INTERNATIONAL JOURNAL OF FRACTURE, 89 :1-18 >DOI >Link

Jones IS. 1997. Review of 'Diagnosys v 2.4' Software for Engineering Education, 12

Jones IS. 1997. Review of 'Experiments in Undergraduate Mathematics' Software for Engineering Education, 11

Jones IS. 1997. The frequency response model of thermal striping for cylindrical geometries FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES, 20 :871-882 >DOI >Link

Galvin SBJ, Graham ID, Jones IS, Rothwell G. 1997. A comparison between the finite element and frequency response methods in the assessment of thermal striping damage INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING, 74 :205-212 >DOI >Link

Jones IS, Lewis MW. 1996. An impulse response model for the prediction of thermal striping damage ENGINEERING FRACTURE MECHANICS, 55 :795-812 >DOI >Link

JONES IS, LEWIS MWJ. 1995. THE EFFECT OF SPATIAL INCOHERENCE IN SURFACE-TEMPERATURE FLUCTUATIONS ON THE STRESS INTENSITY FACTOR IN THERMAL STRIPING INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING, 62 :227-247 >DOI >Link

JONES IS, LEWIS MWJ. 1995. THE EFFECT OF VARIOUS CONSTRAINT CONDITIONS IN THE FREQUENCY-RESPONSE MODEL OF THERMAL STRIPING FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES, 18 :489-502 >DOI >Link

JONES IS, LEWIS MWJ. 1994. A FREQUENCY-RESPONSE METHOD FOR CALCULATING STRESS INTENSITY FACTORS DUE TO THERMAL STRIPING LOADS FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES, 17 :709-720 >DOI >Link

JONES IS. 1979. THEORY OF ELECTROPHORESIS OF LARGE COLLOID PARTICLES WITH ADSORBED POLYELECTROLYTE JOURNAL OF COLLOID AND INTERFACE SCIENCE, 68 :451-461 >DOI >Link

Vrij A, Everett DH, Vincent B, Stageman JF, Taylor G, Dawkins JV, Smith AL, Silberberg A, Martin CJ, Hair ML, Dickinson E, Neustadter EL, Stoylov SP, Scholten PC, Tadros TF, Doroszkowski A, Lambourne R, Stein HN, Visser J, Van Der Scheer A, Norde W, Fijnaut HM, Lips A, Staples EJ, Ottewill RH, Young CA, Waite FA, Osmond DJW, Lyklema J, Van Vliet T, Scheutjens JMHM, Fleer GJ, Padday JF, Robb ID, Healy TW, Goodwin JW, Hough DB, Richmond P, Levine S, Jones IS, Derjaguin BV. 1978. General discussion Faraday Discussions of the Chemical Society, 65 :313-341 >DOI

Jones IS. 1978. Colloid Stability Faraday Discussions of the Chemical Society, 65 :313-341

JONES IS, RICHMOND P. 1977. EFFECTS OF EXCLUDED VOLUME ON CONFORMATION OF ADSORBED POLYMERS JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II, 73 :1062-1070 >DOI >Link

Jones IS. 1977. Spectral distribution of light scattered by flat disc-shaped molecules Chemical Physics Letters, 46 :485-487 >DOI

Carta G, Jones IS, Movchan NV, Movchan AB, Nieves M. “Deflecting elastic prism” and unidirectional localisation for waves in chiral elastic systems Scientific Reports, >DOI

Jones IS. The solid angle subtended by a circular disc with application to roadsigns International Journal of Mathematics Education in Science & Technology, 27 :667-674

Haslinger SG, Movchan NV, Movchan AB, Jones IS, Craster RV. Controlling flexural waves in semi-infinite platonic crystals >Link

Jones IS, Movchan NV, Movchan AB. Blockage, trapping and waveguide modes for flexural waves in a semi-infinite double grating MATHEMATICAL METHODS IN THE APPLIED SCIENCES, >Link

Colquitt DJ, Nieves MJ, Jones IS, Movchan AB, Movchan NV. Localisation for a line defect in an infinite square lattice Proc R Soc A 469 (2013): 20120579, >DOI >Link

Brun M, Jones IS, Movchan AB. Vortex-type elastic structured media and dynamic shielding >DOI >Link

Brun M, Movchan AB, Jones IS. Bypassing shake, rattle and roll Physics World,

Chapters

Jones IS, Movchan NV, Movchan AB, McPhedran RC, Brun M. 2016. Metamaterial systems and routing of elastic waves in engineered structures. Aston PJ, Mulholland AJ, Tant KM. UK Success Stories in Industrial Mathematics Springer 9783319254548

Jones IS, Movchan AB, Selseil O. 2004. A thermoelasticity problem in a domain with an edge crack: Asymptotic analysis IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics Springer Science & Business Media 9781402017803

Jones IS. 2004. Methods of assessment of thermal striping fatigue damage. Movchan AB. IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics Springer Science & Business Media 9781402017803

Conference publication

Colquitt DJ, Movchan AB, Movchan NV, Jones IS. 2011. Elastic Waves and Defect Modes in Micropolar Lattices. Springer Proceedings in Physics, 139 :707-714

Hennings G, Green D, Rothwell G, Jones IS. 2010. Energy based failure evaluation of isothermal and non-isothermal mechanical fatigue tests Engineering Structural Integrity Assessment 10, EMAS publishing,

Jones IS, Movchan AB. 2008. Temperature-controlled stop bands for elastic Bloch-Floquet waves in periodic thermo-elastic structures PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION 2007, VOL 10, PTS A AND B, ASME International Mechanical Engineering Congress and Exposition :1093-1095 >Link

Zalipaev VV, Jones IS, Movchan AB. 2007. Waves and filtering in periodic thin-walled structures with cracks Jeulin D, Forest S. Continuum Models and Discrete Systems, :307-318

Selsil O, Jones IS, Movchan AB. 2004. A Thermoelasticity Problem in a Domain with an Edge Crack: Asymptotic Analysis. Solid mechanics and its Applications, 113 :221-228

Jones IS. 2004. Methods of Assessment of Thermal Striping Fatigue Damage. Solid mechanics and its Applications, 113 :229-240

Selsil O, Jones IS, Movchan AB. 2003. A thermoelasticity problem in a domain with an edge crack:asymptotic analysis. Movchan AB. IUTAM Symposium Asymptotics, Singularities and Homogenisation in Problems of Mechanics, IUTAM Symposium Asymptotics, Singularities and Homogenisation in Problems of Mechanics :229-241

Jones IS. 2003. Methods of assessment of thermal striping fatigue damage. IUTAM Symposium Asymptotics, Singularities and Homogenisation in Problems of Mechanics., IUTAM Symposium Asymptotics, Singularities and Homogenisation in Problems of Mechanics. :221-229

Pountney DC, Jones IS, Townend MS. 1995. Engineering mathematics - 1.137 litres into a 0.568 litre pot? Mustoe LR, Hibberd S. MATHEMATICAL EDUCATION OF ENGINEERS, Conference on Mathematical Education of Engineers 57 :241-250 >Link

Jones IS. Thermal striping and modelling of thermo-elastic solids with surface breaking cracks Second RCMM workshop “Waves in Structured Media and Localisation”

Zalipaev VV, Jones IS, Movchan AB. Asymptotic analysis of an effective boundary condition for a thin rectangle fixed on a small part of its boundary Advanced problems in Mechanics

Zalipaev VV, Jones IS, Movchan AB. Asymptotic analysis of an effective boundary condition for a thin rectangle fixed on a small part of its boundary. 49th British Applied Mathematics Colloqium

Zhelezina EV, Jones IS, Movchan AB. A singular perturbation problem for a solid with a small surface breaking crack. 48th British Applied Mathematics Colloqium

Galvin S, Jones IS, Rothwell G, Graham ID. The use of ABAQUS to predict damage due to thermsl striping Eleventh UK ABAQUS User Group Conference

Davies S, Rothwell G, Graham ID. The implementation of a one dimensional imbricate element in ABAQUS/Standard Tenth UK ABAQUS User Group Conference

Report

Jones IS. 1993. Frequency Response Method of Analysis of Thermal Striping for Cylindrical Geometries. Frequency Response Method of Analysis of Thermal Striping for Cylindrical Geometries.

Jones IS. 1992. The Effect of Various Restraint Conditions in the Frequency Response Approach to Thermal Striping Loading. The Effect of Various Restraint Conditions in the Frequency Response Approach to Thermal Striping Loading.

Jones IS. 1992. Theory and Validation of the Computer Code TBL for the Calculation of Crack Tip Stress Intensity Factors for Long Cracks under Thermal Striping Loading. Theory and Validation of the Computer Code TBL for the Calculation of Crack Tip Stress Intensity Factors for Long Cracks under Thermal Striping Loading.

Jones IS. 1992. An Investigation of an Upper Bound Stress Intensity Factor in Thermal Striping An Investigation of an Upper Bound Stress Intensity Factor in Thermal Striping

Jones IS. 1991. Spatial Incoherence Effects in Thermal Striping Spatial Incoherence Effects in Thermal Striping

Jones IS. 1991. Temperature to Strain Conversion for Infinitely Long Thin Tubes Temperature to Strain Conversion for Infinitely Long Thin Tubes

Jones IS. 1991. Defect Assessment Guide. Evaluation of Crack Initiation and Stable Crack Growth in Service. Defect Assessment Guide. Evaluation of Crack Initiation and Stable Crack Growth in Service.

Jones IS. 1991. Defect Assessment Guide. Evaluation of Flaw Growth in Service Defect Assessment Guide. Evaluation of Flaw Growth in Service

Jones IS. 1991. Defect Assessment Guide. Evaluation of Flaw Growth in Service Defect Assessment Guide. Evaluation of Flaw Growth in Service

Jones IS. 1990. Mixed Mode Loading with Application to the CEGB Defect Assessment Guide Mixed Mode Loading with Application to the CEGB Defect Assessment Guide

Jones IS. 1989. J Controlled Crack Growth and its Application in the CEGB R6 Failure Assessment Method J Controlled Crack Growth and its Application in the CEGB R6 Failure Assessment Method

Jones IS. 1989. The Reference Stress Method and its Application to the CEGB R6 Failure Assessment Method The Reference Stress Method and its Application to the CEGB R6 Failure Assessment Method

Jones IS. 1988. Scoping Calculations for AISI 316 Stainless Steel Subjected to Thermal Striping Scoping Calculations for AISI 316 Stainless Steel Subjected to Thermal Striping

Jones IS. 1988. An approximate wide range weight function for a strip with a single edge crack

Jones IS. 1987. An Isothermal Boundary Condition Enhancement to the Computer Code 'CLOUDBURST' An Isothermal Boundary Condition Enhancement to the Computer Code 'CLOUDBURST'

Jones IS. 1986. ASME Analysis Post Processor for Models Generated by 'SUPERTAB' ASME Analysis Post Processor for Models Generated by 'SUPERTAB'

Jones IS. The Treatment of Thermal and Residual Stresses in the CEGB R6 Failure Assessment Method The Treatment of Thermal and Residual Stresses in the CEGB R6 Failure Assessment Method

Jones IS. A Statistical Analysis of a Random Stress Intensity Factor Time History with Application to 'CLOUDBURST' A Statistical Analysis of a Random Stress Intensity Factor Time History with Application to 'CLOUDBURST'

Jones IS. A General Heat Transfer Model for the Computer Code 'CLOUDBURST' A General Heat Transfer Model for the Computer Code 'CLOUDBURST'

Jones IS. A General Heat Transfer Model for the Computer Code 'CLOUDBURST' A General Heat Transfer Model for the Computer Code 'CLOUDBURST'

Engagement & Impact

Conference organisation:

Waves in Structured Media and Localisation, Joint organiser

“Modelling of Defects in Welds and Heterogeneous Media”., Joint organsier

External collaboration:

University of Cagliari, Dr M Brun

Serco Assurance, Dr W Daniels

University of Loughborough, Dr V V Zalipaev (visiting researcher)

University of trento, Italy, Dr M Gei

University of Liverpool, Dr O Selsil

University of Liverpool, Professor A B Movchan

External committees:

Steering Panel of the Liverpool Centre for Mathematical Modelling, University of Liverpool, Member

Executive Board of the Liverpool Centre for Mathematical Modelling., University of liverpool, Member

Fellowships:

Honorary Research Fellow, Department of Mathematics University of Liverpool

Industrial connections:

Serco Assurance, Collaborative project on Non Destructive Testing

AEA Technology, Contract Research (six contracts)

Media Coverage:

Research into using metamaterials in electromagnetics has already demonstrated an invisibility cloak. To take these ideas further into allied areas of advanced materials, £2.5m is being invested by the Engineering and Physical Sciences Research Council. Leading UK scientists based at LJMU, Imperial College London and the University of Liverpool will work on the five year study, that is uniquely positioned to span, and take advantage of, both mathematics and physics. Universities and Science Minister David Willetts said: “Advanced materials is one of the eight great technologies of the future with the potential to propel UK growth. This investment will help us to develop further applications for metamaterials and reap the benefits of advanced materials for the wider UK economy.” Researchers will apply concepts to fields such as acoustic metamaterials, thermal cloaking and to engineer designer metamaterials with specific properties. Professor Ian Jones, Director of MEMARC based at the School of Engineering, Technology and Maritime Operations, is the lead investigator for LJMU. He commented: “This large award brings together major players in the UK in the exciting new science of metamaterials and this investment by the UK Research Council will enable us to extend the mathematical foundation of the subject. It further recognises the capability within LJMU to answer fundamental questions in science.” Professor Richard Craster, Imperial College London, said: “This is an unusual and novel grant in metamaterials as it is centred around mathematical concepts and theory but nonetheless with considerable input from physics. The collaboration with our colleagues from the physics group, where metamaterials were originally developed, will provide unique insight and access to cutting edge ideas from physics that mathematicians can turn into solid rigorous theory. Conversely theoretical advances from mathematics can be fed directly and swiftly back into experiments and design.” Metamaterials have unusual properties not seen in natural materials, for example light entering a metamaterial slab can be bent in the opposite direction to that expected. Extending the concepts into thermal metamaterials could, for example, ultimately benefit laptop users. Currently, computer chips in laptops become hot, limiting the amount of transistors and computer power which can be put in a chip; thermal transfer could overcome this issue. Metamaterials could provide a wide range of real-world applications where waves play a role, even potentially cloaking buildings from earthquakes. French collaborators on the project are already using cloaking principles in seismic wave systems to try and ‘hide’ buildings from ground vibrations caused, for example, by trains. Using multi-scale elastic metamaterials, large complex structures such as bridges or tall buildings can be designed to withstand earthquakes, and their possible swaying can be controlled. Novel shields and filters of elastic waves can be designed to divert the energy of earthquakes away from buildings and protected areas. Creating a so-called ‘perfect lens’ using metamaterials could be used in bio-imaging applications. A perfect lens would enable light microscopes to see objects smaller than a single wave-length of light, such as a single virus. Currently only an electron microscope can image to this resolution with the drawback that cells need to be dead or frozen. A perfect lens created by metamaterials would allow scientists to break the so-called Rayleigh limit of diffraction. The researchers will also look at the constraints of fabrication methods and use sophisticated tools of mathematics to develop optimal structures. Computer codes that take imperfections into account in an efficient way will be developed to allow the modelling and design of metamaterials to proceed together. By the end of the research, scientists will develop proof of concepts, which can then provide a sound basis for the next stage of implementation.

Membership of professional bodies:

Chartered Scientist, Institute of Mathematics & its Applications

Chartered Mathematician, Institute of Mathematics & its Applications

Fellow, Institute of mathematics & its Applications1

Other invited event:

Grant proposal referee for Italian Ministry for Education, University and Research (MIUR), Various, Grant proposal referee for Italian Ministry for Education, University and Research (MIUR)

Member of EPSRC Peer Review College, London, Invited member of EPSRC peer review college

Research Grants Awarded:

EPSRC, Mathematical fundamentals of Metamaterials for multiscale Physics and Mechanics, Craster (Imperial College), Movchan (University of Liverpool), Grant value (£): 3,114,125, Duration of research project: 5 years