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The Quarterly Journal of Mechanics and Applied Mathematics 2003 56(1):45-64; doi:10.1093/qjmam/56.1.45
© 2003 by Oxford University Press
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Vibrations of Lattice Structures and Phononic Band Gaps

P. G. Martinsson1 and A. B. Movchan2

( 1 Texas Institute for Computational and Applied Mathematics, University of Texas at Austin, Austin, TX 78712, USA 2 Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX )

Elastic waves in lattice structures are considered. The propagating modes as well as filtering properties of lattices are analysed. Special attention is paid to the connection between micro-structural geometry and the presence of so-called ‘phononic band gaps’, intervals of frequencies for which no propagating wave modes exist.

Received 27 June 2001. Revised 29 March 2002.


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