Localisation near defects and filtering of flexural waves in structured plates.

Haslinger, S. G.; McPhedran, R. C.; Movchan, N. V.; Movchan, A. B.

The paper deals with localisation of flexural waves within gratings composed of either pinned points or rigid inclusions of finite radius in a structured plate. We study the filtering and resonant action of such systems. The effect of the finite size of inclusions on the dynamic localisation is analysed for the range of frequencies where only zeroth grating orders propagate. The structure of the resonant modes within gratings of inclusions is of special interest. In particular, we consider the circumstances under which such gratings can deliver for flexural waves a phenomenon similar to Electromagnetically Induced Transparency, where a resonant maximum of transmission is cut in two by a resonant minimum. We identify system designs which yield very high concentration of flexural fields within the interface that may lead to a further structural failure.

LOCALIZATION (Mathematics); FLEXURAL strength; STRUCTURAL plates; ZEROTH law of thermodynamics; ELECTROMAGNETISM; STRUCTURAL failures

International Journal of Fracture, 2013, Vol 184, Issue 1/2, p25

0376-9429

Academic Journal

10.1007/s10704-013-9812-9