All Outputs (34)

Physical Model of a Chiral Flexural Waveguide (2018)
Conference Proceeding
Carta, G., Nieves, M., Jones, I., Movchan, N., & Movchan, A. (2018). Physical Model of a Chiral Flexural Waveguide. In 2018 12th International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials). https://doi.org/10.1109/metamaterials.2018.8534157

We present a novel physical model of a gyrobeam, an active chiral structural element where flexural and rotational motions are coupled. In the literature, the gyrobeam is described as a mathematical object possessing a continuous distribution of stor... Read More about Physical Model of a Chiral Flexural Waveguide.

Interfacial waveforms in chiral lattices with gyroscopic spinners (2018)
Journal Article
Garau, M., Carta, G., Nieves, M., Jones, I., Movchan, N., & Movchan, A. (2018). Interfacial waveforms in chiral lattices with gyroscopic spinners. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474(2215), https://doi.org/10.1098/rspa.2018.0132

We demonstrate a new method of achieving topologically protected states in an elastic hexagonal system of trusses by attaching gyroscopic spinners, which bring chirality to the system. Dispersive features of this medium are investigated in detail, an... Read More about Interfacial waveforms in chiral lattices with gyroscopic spinners.

Elastic Chiral Waveguides with Gyro-Hinges (2018)
Journal Article
Nieves. (2018). Elastic Chiral Waveguides with Gyro-Hinges. Quarterly Journal of Mechanics and Applied Mathematics, 157 - 185. https://doi.org/10.1093/qjmam/hby001

This article presents a novel chiral structure, consisting of Euler–Bernoulli beams connected to gyroscopic spinners. A new type of boundary condition is introduced, which is referred to as a gyro-hinge. In this system, flexural waves are coupled wit... Read More about Elastic Chiral Waveguides with Gyro-Hinges.

Asymptotic analysis of solutions to transmission problems in solids with many inclusions (2017)
Journal Article
Nieves. (2017). Asymptotic analysis of solutions to transmission problems in solids with many inclusions. SIAM Journal on Applied Mathematics, 1417 - 1443. https://doi.org/10.1137/16M1102586

We construct an asymptotic approximation to the solution of a transmission problem for a body containing a region occupied by many small inclusions. The cluster of inclusions is characterized by two small parameters that determine the nominal diamete... Read More about Asymptotic analysis of solutions to transmission problems in solids with many inclusions.

Gyro-elastic beams for the vibration reduction of long flexural system (2017)
Journal Article
Carta, G., Jones, I., Movchan, N., Movchan, A., & 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, 473(2203), https://doi.org/10.1098/rspa.2017.0136

The paper presents a model of a chiral multi-structure incorporating gyro-elastic beams. Floquet–Bloch waves in periodic chiral systems are investigated in detail, with the emphasis on localization and the formation of standing waves. It is found tha... Read More about Gyro-elastic beams for the vibration reduction of long flexural system.

Transient wave in a transformable periodic flexural structure (2017)
Journal Article
Nieves, M., Mishuris, G., & Slepyan, L. (2017). Transient wave in a transformable periodic flexural structure. International Journal of Solids and Structures, 112, 185-208. https://doi.org/10.1016/j.ijsolstr.2016.11.012

“Deflecting elastic prism” and unidirectional localisation for waves in chiral elastic systems (2017)
Journal Article
Carta, G., Jones, I., Movchan, N., Movchan, A., & Nieves, M. (2017). “Deflecting elastic prism” and unidirectional localisation for waves in chiral elastic systems. Scientific reports, 7, Article 26. https://doi.org/10.1038/s41598-017-00054-6

For the first time, a design of a “deflecting elastic prism” is proposed and implemented for waves in a chiral medium. A novel model of an elastic lattice connected to a non-uniform system of gyroscopic spinners is designed to create a unidirectional... Read More about “Deflecting elastic prism” and unidirectional localisation for waves in chiral elastic systems.

Eigenvalue Problem in a Solid with Many Inclusions: Asymptotic Analysis (2017)
Journal Article
Maz'ya, V. G., Movchan, A. B., & Nieves, M. J. (2017). Eigenvalue Problem in a Solid with Many Inclusions: Asymptotic Analysis. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 15(2), 1003-1047. https://doi.org/10.1137/16m1079348

Analysis of dynamic damage propagation in discrete beam structures (2016)
Journal Article
Nieves, M., Mishuris, G., & Slepyan, L. (2016). Analysis of dynamic damage propagation in discrete beam structures. International Journal of Solids and Structures, 97-98, 699-713. https://doi.org/10.1016/j.ijsolstr.2016.02.033

Mesoscale Models and Approximate Solutions for Solids Containing Clouds of Voids (2016)
Journal Article
Maz'ya, V. G., Movchan, A. B., & Nieves, M. J. (2016). Mesoscale Models and Approximate Solutions for Solids Containing Clouds of Voids. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 14(1), 138-172. https://doi.org/10.1137/151006068

Mesoscale Approximations for Solutions of the Dirichlet Problem in A Perforated Elastic Body (2014)
Journal Article
Maz’ya, V. G., Movchan, A. B., & Nieves, M. J. (2014). Mesoscale Approximations for Solutions of the Dirichlet Problem in A Perforated Elastic Body. Journal of Mathematical Sciences, 202(2), 215-244. https://doi.org/10.1007/s10958-014-2043-4

Dynamic response of a growing inclusion in a discrete system (2014)
Journal Article
Nieves, M., Jones, I., & Movchan, A. (2014). Dynamic response of a growing inclusion in a discrete system. International Journal of Solids and Structures, 51(17), 2990-3001. https://doi.org/10.1016/j.ijsolstr.2014.03.034

Green's Kernels and Meso-Scale Approximations in Perforated Domains (2013)
Book
Maz'ya, V., Movchan, A., & Nieves, M. (2013). Green's Kernels and Meso-Scale Approximations in Perforated Domains. (1). Springer

This book addresses the needs of mathematicians, physicists and engineers, as well as research students interested in asymptotic analysis and numerical computations for solutions to partial differential equations.

Analytical model of thermal striping for a micro-cracked solid (2012)
Journal Article
Nieves, M., Movchan, A., & Jones, I. (2012). Analytical model of thermal striping for a micro-cracked solid. International Journal of Solids and Structures, 49(10), 1189-1194. https://doi.org/10.1016/j.ijsolstr.2012.01.003