Refereed scientific articles

2019


V. Maz’ya, A.B. Movchan, M.J. Nieves (2019): On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions, St Petersb Math J Analysis and Algebra (accepted).

Carta, G., Nieves, M.J., Jones, I.S., Movchan, N.V., Movchan, A.B. (2019): Flexural vibration systems with gyroscopic spinners,  Philos. T. R. Soc. A 377, 20190154.

Nieves, M.J., Brun, M. (2019): Dynamic characterization of a periodic microstructured flexural system with rotational inertia, Philos. T. R. Soc. A 377, 20190113.

Garau, M., Nieves, M.J., Carta, G., Brun, M., (2019): A gyro-elastic device for cloaking of elastic waves in micro-structured materials. 13thInternational Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials). (accepted)

Garau, M., Nieves, M.J., Carta, G., Brun, M. (2019): Transient analysis of a gyro-elastic structured medium: unidirectional waveforms and cloaking, Int. J. Eng. Sci. 143, 115-141.

Garau, M., Nieves, M.J., Jones, I.S. (2019): Alternating strain regimes for failure in flexural systems, Q. Jl Mech. Appl. Math 72, no. 3, 305-339.

2018


Carta, G., Nieves, M.J., Jones, I.S., Movchan, N.V., Movchan, A.B., (2018): Physical model of a chiral flexural waveguide. 12th International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials).

M.J. Nieves, M. Garau, G. Carta, I.S. Jones, N.V. Movchan, A.B. Movchan (2018): Design of a chiral elastic structure supporting interfacial waveforms. 12th International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials).

Nieves, M.J., Carta, G., Jones, I.S., Movchan, A.B., Movchan, N.V., (2018): Vibrations and elastic waves in chiral multi-structures, J. Mech. Phys. Solids 121, 387-408, https://doi.org/10.1016/j.jmps.2018.07.020

Garau, M., Carta, G., Nieves, M.J., Jones, I.S., Movchan, N.V., Movchan, A.B., (2018): Interfacial waveforms in chiral lattices with gyroscopic spinners, Proc. R. Soc. Ser A 474: 20180132, https://dx.doi.org/10.1098/rspa.2018.0132

Carta, G., Nieves, M.J., Jones, I.S., Movchan, N.V., Movchan, A.B., (2018): Elastic chiral waveguides with gyrohinges, Q. Jl Mech. Appl. Math. 71, no. 2, 157-185, https://doi.org/10.1093/qjmam/hby001.

2017


Carta, G., Jones, I.S., Movchan, N.V., Movchan, A.B., Nieves, M.J., (2017): Gyro-elastic beams for the vibration reduction of long flexural system, Proc. R. Soc. Ser. A 473 2203.

 Carta, G., Jones, I.S., Movchan, N.V., Movchan, A.B., Nieves, M.J. (2017): “Deflecting elastic prism” and unidirectional localisation for waves in chiral elastic systems, Scientific Reports 7 no. 26.

Nieves, M.J. (2017): Asymptotic analysis of solutions to transmission problems in solids with many inclusions, SIAM J. Appl. Math. 77 (4), 1417-1443.

Maz’ya, V.G., Movchan, A.B., Nieves, M.J. (2017): Eigenvalue problem in a solid with many inclusions: asymptotic analysis, Multiscale Model. Simul., 15(2), 1003–1047.

2016


Nieves, M.J., Mishuris, G.S., Slepyan, L.I. (2016): Transient wave in a transformable periodic flexural structure, Int. J. Solids Struct. 112, 185-208

Nieves, M.J., Mishuris, G.S., Slepyan, L.I. (2016): Analysis of dynamic damage propagation in discrete beam structures, Int. J. Solids Struct. 97-98, 699-713.

Maz’ya, V.G., Movchan, A.B., Nieves, M.J (2016): Meso-scale models and approximate solutions for solids containing clouds of voids, Multiscale Model. Simul. 14, no.1, 138-172.

2014


Maz’ya, V.G., Movchan, A.B., Nieves, M.J (2014): Meso-scale approximations for solutions of the Dirichlet problem in a perforated elastic body, J. Math. Sci. (N.Y.) 202, no. 2, 215-244.

2013


Nieves, M.J., Jones, I.S., Movchan, A.B. (2013): Dynamic response of a growing inclusion in a discrete system, Int. J. Solids Struct. 51, no. 17, 2990-3001.

Nieves, M.J., Movchan, A.B., Jones, I.S., Mishuris, G.S. (2013): Propagation of Slepyan’s crack in a non-uniform elastic lattice, J. Mech. Phys. Solids 61, 1464-1488.

2012


Colquitt, D.J., Nieves, M.J., Jones, I.S., Movchan, N.V., Movchan, A.B. (2012): Localization for a line defect in an infinite square lattice, Proc. R. Soc. Ser. A 469, 20120579.

Colquitt, D.J., Nieves, M.J., Jones, I.S., Movchan, N.V., Movchan, A.B., (2012): Trapping of a crack advancing through an elastic lattice, Int. J. Eng. Sci. 61, 129-141.

Nieves, M.J., Movchan, A.B., Jones, I.S., (2012): Analytical model of thermal striping for a micro-cracked solid, Int. J. Solids Struct. 49, 1189-1194.

2011


Nieves, M.J., Movchan, A.B., Jones, I.S., (2011): Asymptotic approximation for the weight function in a solid with a surface breaking crack and small voids, Multiscale Model. Simul. 9, (4), 1444-1458.

Nieves, M.J., Movchan, A.B., Jones, I.S., (2011): Asymptotic study of a thermo-elastic problem in a semi-infinite body containing a surface breaking crack and small perforations, Q. Jl Mech. Appl. Math. 64, (3), 349-369.

Maz’ya, V., Movchan, A., Nieves, M., (2011): Mesoscale asymptotic approximations to solutions of mixed boundary value problems in perforated domains, Multiscale Model. Simul.9, (1), 424-448.

2010


Maz’ya, V., Movchan, A., Nieves, M., (2010): Green’s kernels for transmission problems in bodies with small inclusions, Operator Theory and Its Applications, In Memory of V. B. Lidskii (1924 – 2008), Edited by: Michael Levitin and Dmitri Vassiliev, Amer. Math. Soc. Transl. Ser. 2, vol. 231, Amer. Math. Soc., Providence, RI. 127-160.

2007


Maz’ya, V.G., Movchan, A.B., Nieves, M.J., (2007): Uniform asymptotic formulae for Green’s tensors in elastic singularly perturbed domains, Asymptot. Anal. 52, (3/4), 173-206.

2006


Maz’ya, V., Movchan, A., Nieves, M. (2006): Uniform asymptotic formulae for Green’s tensors in elastic singularly perturbed domains with multiple inclusions, Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. 5, No. 30, 103–157.