Biography

I obtained a first class Master of Mathematics degree in 2005 and PhD in Applied Mathematics in 2007, at the University of Liverpool (UoL).  I then held research posts at both UoL and Liverpool John Moores University (LJMU) before taking up a lectureship at LJMU in 2012. I am also an Honorary Fellow of UoL.

In 2017, I was appointed as a Lecturer in Applied Mathematics at the School of Computing and Mathematics (SCM), Keele University. I was also awarded a 2 year Marie Skłodowska-Curie Individual Fellowship to lead a research project at the University of Cagliari, Italy, in the design of novel structured materials with various applications in civil engineering and the nuclear industry.

Research and scholarship

I am applied mathematician who enjoys tackling a wide range of fundamental multidisciplinary problems in both solid and classical mechanics with practical relevance in industry and society. As part of the Centre for Mathematics Research, I primarily use mathematical modelling to design novel structured micro-materials capable of controlling the flow of vibrations and mitigating their effects, such as failure mechanisms. I also develop new asymptotic techniques that allow one to characterise the response of solids containing large clusters of small defects.

My research interests include:

(1) Asymptotic analysis of singularly perturbed elliptic boundary value problems

(2) Gyro-elastic metamaterials, design and earthquake protection applications

(3) Waves and dynamic fracture propagation in flexural multi-scale systems and metamaterials

Concerning the area (1), I have recently published a research monograph describing a novel asymptotic approach that provides a new tool for mathematicians, physicists and engineers looking to model granular materials (see https://mjnieves.com/books/). More information about my research interests and activities can be found at https://mjnieves.com.

Recently, I secured a major research grant from the European Commission to conduct research on the project:

Name: CAT-FFLAP: CATastrophic Failure in Flexural LAttice Problems

Dates: Sept 2014 - Sept 2019

Budget:  €168, 277

Host: University of Cagliari, Italy

Web address: https://mjnieves.com/project-cat-fflap/

 

On this project, I collaborated with engineers from academia and industry to develop a new breed of structured metamaterials with a view to enhancing the design of large-scale structures commonly found in civil engineering, preventing their catastrophic failure.

 

Teaching

I am involved in postgraduate training activities, which includes the supervision of a postgraduate student at the School of Computing and Mathematics, who engaged in research related to the project EU H2020 grant MSCA-IF-2016-747334-CAT-FFLAP (see https://mjnieves.com/group/).

I am the module leader for the Year 4 modules:

MAT-10049 Investigations and Problem Solving

MAT-10051 Applied Mathematics 

and provide tutorial support on the modules

MAT-10046 Calculus 

MAT-20008 Differential Equations

I delivered the short course "Understanding dynamic crack growth in structured systems with the Wiener-Hopf technique” during a summer school at the research programme "Bringing pure and applied analysis together via the Wiener-Hopf technique, its generalisations and applications”, University of Cambridge (for the lecture notes, please see https://mjnieves.com/projects/lecture-notes/). For the site https://www.keele.ac.uk/study/postgraduateresearch/researchareas/mathematics/#research-topics

Further information

Website: https://mjnieves.com

Researchgate: https://www.researchgate.net/profile/Michael_Nieves3

Selected Publications

  • Carta G and Nieves MJ. 2021. Analytical treatment of the transient motion of inertial beams attached to coupling inertial resonators. JOURNAL OF ENGINEERING MATHEMATICS, Article ARTN 20, vol. 127(1). link> doi> full text>
  • Nieves MJ, Carta G, Pagneux V, Brun M. 2021. Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects. FRONTIERS IN MATERIALS, Article ARTN 602960, vol. 7. link> doi> full text>
  • Nieves MJ, Carta G, Pagneux V, Brun M. 2020. Rayleigh waves in micro-structured elastic systems: Non-reciprocity and energy symmetry breaking. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Article ARTN 103365, vol. 156. link> doi> full text>
  • Abrahams D, Huang X, Kisil A, Mishuris G, Nieves M, Rogosin S, Spitkovsky I. 2021. Reinvigorating the Wiener-Hopf technique in the pursuit of understanding processes and materials. NATIONAL SCIENCE REVIEW, Article ARTN nwaa225, vol. 8(2). link> doi> full text>
  • Maz'ya VG, Movchan AB, Nieves MJ. 2021. ON MESO-SCALE APPROXIMATIONS FOR VIBRATIONS OF MEMBRANES WITH LOWER-DIMENSIONAL CLUSTERS OF INERTIAL INCLUSIONS. ST PETERSBURG MATHEMATICAL JOURNAL, 551-564, vol. 32(3). link> doi> full text>

Full Publications Listshow

Books

  • Maz'ya V, Movchan A, Nieves M. 2013. Green's Kernels and Meso-Scale Approximations in Perforated Domains. Springer.

Journal Articles

  • Carta G and Nieves MJ. 2021. Analytical treatment of the transient motion of inertial beams attached to coupling inertial resonators. JOURNAL OF ENGINEERING MATHEMATICS, Article ARTN 20, vol. 127(1). link> doi> full text>
  • Nieves MJ, Carta G, Pagneux V, Brun M. 2021. Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects. FRONTIERS IN MATERIALS, Article ARTN 602960, vol. 7. link> doi> full text>
  • Nieves MJ, Carta G, Pagneux V, Brun M. 2020. Rayleigh waves in micro-structured elastic systems: Non-reciprocity and energy symmetry breaking. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Article ARTN 103365, vol. 156. link> doi> full text>
  • Abrahams D, Huang X, Kisil A, Mishuris G, Nieves M, Rogosin S, Spitkovsky I. 2021. Reinvigorating the Wiener-Hopf technique in the pursuit of understanding processes and materials. NATIONAL SCIENCE REVIEW, Article ARTN nwaa225, vol. 8(2). link> doi> full text>
  • Maz'ya VG, Movchan AB, Nieves MJ. 2021. ON MESO-SCALE APPROXIMATIONS FOR VIBRATIONS OF MEMBRANES WITH LOWER-DIMENSIONAL CLUSTERS OF INERTIAL INCLUSIONS. ST PETERSBURG MATHEMATICAL JOURNAL, 551-564, vol. 32(3). link> doi> full text>
  • Maz'ya V, Movchan A, Nieves M. 2020. On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions. Algebra i Analiz, 219-237, vol. 32(3). link> link> full text>
  • Piccolroaz A, Gorbushin N, Mishuris G, Nieves MJ. 2020. Dynamic phenomena and crack propagation in dissimilar elastic lattices. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Article ARTN 103208, vol. 149. link> doi> full text>
  • Nieves MJ and Brun M. 2019. Dynamic characterization of a periodic microstructured flexural system with rotational inertia. Philos Trans A Math Phys Eng Sci, 20190113, vol. 377(2156). link> doi> full text>
  • Carta G, Nieves MJ, Jones IS, Movchan NV, Movchan AB. 2019. Flexural vibration systems with gyroscopic spinners. Philos Trans A Math Phys Eng Sci, 20190154, vol. 377(2156). link> doi> full text>
  • Garau M, Nieves MJ, Carta G, Brun M. 2019. Transient response of a gyro-elastic structured medium: Unidirectional waveforms and cloaking. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 115-141, vol. 143. link> doi> full text>
  • Garau M, Nieves MJ, Jones IS. 2019. ALTERNATING STRAIN REGIMES FOR FAILURE PROPAGATION IN FLEXURAL SYSTEMS. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 305-339, vol. 72(3). link> doi> full text>
  • Nieves MJ, Carta G, Jones IS, Movchan AB, Movchan NV. 2018. Vibrations and elastic waves in chiral multi-structures. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 387-408, vol. 121. link> doi> full text>
  • Garau M, Carta G, Nieves MJ, Jones IS, Movchan NV, Movchan AB. 2018. Interfacial waveforms in chiral lattices with gyroscopic spinners. Proc Math Phys Eng Sci, 20180132, vol. 474(2215). link> doi> full text>
  • Carta G, Nieves MJ, Jones IS, Movchan NV, Movchan AB. 2018. ELASTIC CHIRALWAVEGUIDES WITH GYRO-HINGES. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 157-185, vol. 71(2). link> doi> full text>
  • Nieves MJ. 2017. ASYMPTOTIC ANALYSIS OF SOLUTIONS TO TRANSMISSION PROBLEMS IN SOLIDS WITH MANY INCLUSIONS. SIAM JOURNAL ON APPLIED MATHEMATICS, 1417-1443, vol. 77(4). link> doi> full text>
  • Carta G, Jones IS, Movchan NV, Movchan AB, Nieves M. 2017. Gyro-elastic beams for the vibration reduction of long flexural system. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Article 20170136, vol. 473(2203). doi> link> full text>
  • Maz'ya VG, Movchan AB, Nieves M. 2017. Eigenvalue problem in a solid with many inclusions: asymptotic analysis. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 1003-1047, vol. 15(2). doi>
  • Nieves M, Mishuris GS, Slepyan LI. 2017. Transient wave in a transformable periodic flexural structure. International Journal of Solids and Structures, 185-208, vol. 112. doi>
  • Carta G, Jones IS, Movchan NV, Movchan AB, Nieves M. 2017. “Deflecting elastic prism” and unidirectional localisation for waves in chiral elastic systems. Scientific Reports, vol. 7(26). doi> link> full text>
  • Nieves M, Mishuris GS, Slepyan LI. 2016. Analysis of dynamic damage propagation in discrete beam structures. International Journal of Solids and Structures, 699-713, vol. 97-98. doi>
  • Maz'ya VG, Movchan AB, Nieves M. 2016. Meso-scale models and approximate solutions for solids containing clouds of voids. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 138-172, vol. 14(1). doi>
  • Maz'ya VG, Movchan AB, Nieves M. 2014. Meso-scale approximations for solutions of the Dirichlet problem in a perforated elastic body. Journal of Mathematical Sciences, 215-244, vol. 202(2). doi>
  • Nieves M, Jones IS, Movchan AB. 2014. Dynamic response of a growing inclusion in a discrete system. International Journal of Solids and Structures, 2990-3001, vol. 51(17). doi>
  • Nieves M, 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, 1464-1488, vol. 61. doi>
  • Colquitt DJ, Nieves M, Jones IS, Movchan NV, Movchan AB. 2012. Localization for a line defect in an infinite square lattice. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Article 20120579, vol. 469. doi>
  • Colquitt DJ, Nieves M, Jones IS, Movchan NV, Movchan AB. 2012. Trapping of a crack advancing through an elastic lattice. International Journal of Engineering Science, 129-141, vol. 61. doi>
  • Nieves M, Movchan AB, Jones IS. 2011. Asymptotic approximation for the weight function in a solid with a surface breaking crack and small voids. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 1444-1458, vol. 9(1). doi>
  • Nieves M, 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, 349-369, vol. 64(3). doi>
  • Maz'ya VG, Movchan AB, Nieves M. 2011. Mesoscale asymptotic approximations to solutions of mixed boundary value problems in perforated domains. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 424-448, vol. 9(1). doi>
  • Maz'ya VG, Movchan AB, Nieves M. 2010. Green’s kernels for transmission problems in bodies with small inclusions. American Mathematical Society Translations - Series 2 Advances in the Mathematical Sciences, 127-160, vol. 231.
  • Maz'ya VG, Movchan AB, Nieves M. 2007. Uniform asymptotic formulae for Green’s tensors in elastic singularly perturbed domains. Asymptotic Analysis, 173-206, vol. 52(3/4).
  • Maz'ya VG, Movchan AB, Nieves M. 2006. Uniform asymptotic formulae for Green’s tensors in elastic singularly perturbed domains with multiple inclusions. Rendiconti. Accademia Nazionale delle Scienze detta dei XL. Serie V. Memorie di Matematica. Parte I, 103-157, vol. 5(30).

Other

  • Garau M, Nieves MJ, Carta G, Brun M. 2019. A gyro-elastic device for cloaking of elastic waves in micro-structured materials. 2019 Thirteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials). IEEE. doi> link> full text>
  • Nieves MJ, Garau M, Carta G, Jones IS, Movchan NV, Movchan AB, IEEE. 2018. Design of a chiral elastic structure supporting interfacial waveforms. 2018 12TH INTERNATIONAL CONGRESS ON ARTIFICIAL MATERIALS FOR NOVEL WAVE PHENOMENA (METAMATERIALS) (pp. 290-292). IEEE. link> doi> link> full text>
  • Carta G, Nieves MJ, Jones IS, Movchan NV, Movchan AB, IEEE. 2018. Physical Model of a Chiral Flexural Waveguide. 2018 12TH INTERNATIONAL CONGRESS ON ARTIFICIAL MATERIALS FOR NOVEL WAVE PHENOMENA (METAMATERIALS) (pp. 67-69). link>

Research themes

Athena Swan