W. G. Pritchard Lab Seminar - 103 Osmond Laboratory
**Wednesday January 30th, 2002**
Spectral Problems of Elasticity in Periodic Structures
Alexander B. Movchan
Department of Mathematical Sciences
University of Liverpool
Abstract:
This lecture presents an analytical approach to the analysis of
elastic waves propagating through infinite arrays of obstacles
(inclusions or voids) in an elastic matrix. The solution is
represented via rapidly convergent multi-pole expansions.
Analysis of dispersion equations for different types of
structures enables one to construct dispersion diagrams and
analyse stop bands for waves of certain frequencies and
polarisations. The asymptotic approach has been developed to
establish a correspondence between the continuum and lattice
structures that can be used as filters and polarisers of elastic
waves.
NOTE SPECIAL TIME AND PLACE: Wed 4:30-5:30, 103 Osmond