All Outputs (5)

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