# Bands in the spectrum of a periodic elastic waveguide

Bands in the spectrum of a periodic elastic waveguide We study the spectral linear elasticity problem in an unbounded periodic waveguide, which consists of a sequence of identical bounded cells connected by thin ligaments of diameter of order $$h >0$$ h > 0 . The essential spectrum of the problem is known to have band-gap structure. We derive asymptotic formulas for the position of the spectral bands and gaps, as $$h \rightarrow 0$$ h → 0 . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Zeitschrift für angewandte Mathematik und Physik Springer Journals

# Bands in the spectrum of a periodic elastic waveguide

, Volume 68 (5) – Aug 16, 2017
27 pages

/lp/springer_journal/bands-in-the-spectrum-of-a-periodic-elastic-waveguide-cxUySPLGGP
Publisher
Springer International Publishing
Subject
Engineering; Theoretical and Applied Mechanics; Mathematical Methods in Physics
ISSN
0044-2275
eISSN
1420-9039
D.O.I.
10.1007/s00033-017-0846-0
Publisher site
See Article on Publisher Site

### Abstract

We study the spectral linear elasticity problem in an unbounded periodic waveguide, which consists of a sequence of identical bounded cells connected by thin ligaments of diameter of order $$h >0$$ h > 0 . The essential spectrum of the problem is known to have band-gap structure. We derive asymptotic formulas for the position of the spectral bands and gaps, as $$h \rightarrow 0$$ h → 0 .

### Journal

Zeitschrift für angewandte Mathematik und PhysikSpringer Journals

Published: Aug 16, 2017

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