DYNA META 11
Controlling elastic waves:
structured media and metamaterials in the mechanics
of solids and structures.
From 2012-08-22 to
2014-08-21
The ability to control the
propagation of elastic waves is an issue of fundamental importance in different
sectors of Structural Engineering ranging from the problem to attenuate
vibrations and radiated noise, or to control localization phenomena that may
induce failure mechanisms in turbo machinery and in turbines, up to the
possibility to protect Civil Engineering Structures from earthquakes. The
project deals with fundamental issues of control of elastic wave propagation in
structured media. Such waves are dispersive, and the structured media are
anisotropic, in general.
The proposed approach
will enable us to combine asymptotic analysis of fields and frequencies,
corresponding to standing waves within the elementary cell of the structure,
with accurate numerical simulations delivering the information about the
dispersion properties and stop bands for Bloch-Floquet
waves. The special attention is paid to structures referred to as
meta-materials. In our case, the examples include an invisibility cloak for
elastic waves, a shear polarizer, and filtering and focussing
devices incorporating structured interfaces (flat lenses). Also, the effect of
negative refraction in structured media, which is well studied for
electromagnetic waves, remains a challenging problem in elasticity.
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Project Reference |
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Coordinator |
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Principal researcher |
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Project Funding |
278 807 euro |
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Start Date |
2012-08-22 |
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Duration |
24 months |
Publications
1. Brun,
M., Movchan, A.B., Jones, I.S. Special
Issue on Dynamics of Phononic Materials and
Structures “Phononic band gap systems in structural
mechanics: slender elastic structures versus periodic waveguides”
ASME Journal of Vibration and Acoustics, 135(4), 041013.
doi: 10.1115/1.4023819
2. Carta,
G., Jones, I.S., Brun, M., Movchan,
N.V., Movchan, A.B., 2013 “Crack propagation induced by thermal shocks in structured
media” International Journal of Solids and Structures, 50,
18, 2725-2736.
doi: 10.1016/j.ijsolstr.2013.05.001
3. Brun,
M., Movchan, A.B., Jones, I.S., McPhedran,
R.C., 2013 “Bypassing shake, rattle and roll”
Physics World, 26, 5, 32-36.
4. Brun,
M., Movchan, A.B., Slepyan,
L.I. 2013 “Transition wave in a supported heavy beam”
Journal of the Mechanics and Physics of Solids, 61, 10, 2067–2085.
doi: 10.1016/j.jmps.2013.05.004
5. Colquitt, D.J., Jones,
I.S., Movchan, N.V., Movchan,
A.B., Brun, M., McPhedran,
R.C. 2013 “Making Waves Round a Structured Cloak: Lattices, Negative
Refraction and Fringes” Proceedings of the Royal Society A,
469, 2157, 20130218.
doi: 10.1098/rspa.2013.0218
Top 10 downloaded article from 2013.
6. Bigoni,
D. , Guenneau, S., Movchan,
A.B., Brun, M. 2013 “Elastic metamaterials with
inertial locally resonant structures: Application to lensing
and localization” Physical Review B, 87, 174303.
doi:
10.1103/PhysRevB.87.174303
7. Carta, G., Brun, M., Movchan, A.B., Movchan, N.V., Jones, I.S. 2014 “Dispersion properties of vortex-type monatomic lattices” Int.
J. Sols. Struct., 51, 11-12, 2213–2225.
doi:
10.1016/j.ijsolstr.2014.02.026
8. Carta, G., Brun, M., Movchan, A.B. 2014 “Dispersion localisation in
strongly damaged waveguides” Proc. R. Soc. Lond. A, 470, 2167, 20140136.
doi:
10.1098/rspa.2014.0136
9. Cabras, L., Brun, M. 2014 “Effective properties of a new auxetic
triangular lattice: an analytical approach” Fract.
Struct. Integrity, 29, 9-18.
doi:
10.3221/IGF-ESIS.29.02
10. Carta, G., Brun, M., Movchan, A.B.
2014 “Elastic wave propagation and stop-band generation in
strongly damaged solids” Fract. Struct. Integrity, 29, 28-36.
doi:
10.3221/IGF-ESIS.29.04
11. Colquitt, D., Brun, M., Gei, M., Movchan, A.B., Movchan, N.V., Jones, I.S. 2014 “Transformation elastodynamics
and cloaking for flexural waves” J. Mech. Phys.
Solids, 72, 131-143.
doi:
10.1016/j.jmps.2014.07.014
12. Brun, M., Giaccu,
G.F., Movchan, A.B., Slepyan,
L.I. 2014 “Transition wave in the collapse of the San Saba bridge” Front.
Mater., 1:12.
doi:
10.3389/fmats.2014.00012
13. Brun, M., Colquitt, D., Jones, I.S., Movchan,
A.B., Movchan, N.V. “Transformation and radial approximations for flexural
waves in elastic plates” New J. Phys., 16, 093020.
doi:
10.1088/1367-2630/16/9/093020
14. Movchan, A.B., Brun, M., Slepyan, L.I., Giaccu, G.F. “Dynamic multi-structure in modelling a transition flexural wave” Mathematika, in press.
15. Cabras, L., Brun, M. “Auxetic two-dimensional
lattices with Poisson’s ratio arbitrarily close to -1” Proc. R. Soc. Lond. A, in press.
