Professor of Solid and Structural Mechanics

# Structural interfaces & Metamaterials

We have invented the concept of structural interface, a discrete structure joining continuous media. We have found for this model new and unchallenged mechanical properties in the static and dynamic ranges.For the first time, we have proven the strong influence of prestress on photonic/phononic band gaps in elastic structures. We have discovered that prestress ‘shifts’ band gaps toward higher (lower) frequencies for tensile (compressive) prestress and may ‘annihilate’ certain band gaps in defected structures.

We have shown that using a structural interface we may obtain focussing of elastic waves through negative refraction effects.

**Related papers:**

- D. Bigoni, S. Guenneau, A.B. Movchan and M. Brun
Elastic metamaterials with inertial locally resonant structures: application to lensing and localisation.
*Physical Review B*, 2013, 87, 174303. - M. Gei, D. Bigoni, A.B. Movchan and M. Bacca, Band-Gap Properties of Prestressed Structures. In
*Acoustic Metamaterials Negative Refraction, Imaging, Lensing and Cloaking*, Craster, R.V. and Guenneau, S. Eds., Springer Series in Materials Science, Vol. 166, pp. 61-82, 2013; ISBN: 978-94-007-4812-5. - M. Brun, S.Guenneau, A.B.Movchan and D. Bigoni
Dynamics of structural interfaces: Filtering and focussing effects for elastic waves.
*Journal of the Mechanics and Physics of Solids*, 2010, 58, 1212–1224. - M. Gei, A.B. Movchan and D. Bigoni,
Band-gap shift and defect-induced annihilation in prestressed elastic structures.
*Journal of Applied Physics*, 2009, 105, 063507. - D. Bigoni, M. Gei and A.B. Movchan,
Dynamics of a prestressed stiff layer on an elastic half space: filtering and band gap
characteristics of periodic structural models derived from long-wave asymptotics.
*Journal of the Mechanics and Physics of Solids*, 2008, 56, 2494-2520. - K. Bertoldi, D. Bigoni and W.J. Drugan,
Structural interfaces in linear elasticity. Part I: Nonlocality and gradient approximations.
*Journal of the Mechanics and Physics of Solids*, 2007, 55(1), 1-34. - K. Bertoldi, D. Bigoni and W.J. Drugan,
Structural interfaces in linear elasticity. Part II: Effective properties and neutrality.
*Journal of the Mechanics and Physics of Solids*, 2007, 55(1), 35-63. - D. Bigoni and A.B. Movchan, Statics and dynamics of
structural interfaces in elasticity.

*International Journal of Solids and Structures*, 2002, 39, 4843-4865.

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